Post by pandikumar on Dec 23, 2012 12:22:15 GMT 5.5
Projection of Solids
1. A pentagonal pyramid of base side 30 mm and axis length 60 mm rests on HP on one of its base sides such that the highest base corner is 20mm above HP and its axis parallel to VP. Draw its projections. (Dec 2010 – AUT Triunelveli)
2. A hexagonal prism of base side 30 mm and axis length 60 mm rests on HP on one of its base corners with a solid diagonal passing through that corner is perpendicular to HP. Draw its projections.
3. A pentagonal pyramid of base 30 mm and axis length 60 mm is resting on HP on one of its triangle faces with its axis parallel to VP. Draw its Projection (Jan 2011 AUTM)
4. A hexagonal pyramid of base edge 40mm and altitude 80 mm rests on one of its base edges on the HP with its axis inclined at 30o to the HP parallel to the VP Draw its top and front views. (June 2011 AUT Madurai)
5. A pentagonal pyramid of base of side 25 mm and axis 65 mm has its axis perpendicular to the VP and 50 mm above the HP. Draw its projections of the pyramid if one edge of its base is inclined at 300 to the HP.(Dec 2010 AUT Madurai)
6. A Hexagonal pyramid of side of base 30 mm and axis 60 mm long resting on H.P on one of its base corners with its axis inclined at 350 to HP and parallel to V.P. The base side containing the resting corner is equally inclined to HP. Draw its projections.
7. A cone of base diameter 50 mm and axis length 60 mm is resting on HP on one of its generators with its axis parallel to VP. Draw its projections. (Nov – Dec 2008 AU)
8. A cone of base diameter 45 mm and axis length 65 mm is resting on HP on a point on the circumference of the base. The base is inclined at 500 to HP and axis parallel to VP. Draw its projections. (June – July 2008 AU C)
9. A cylinder of base diameter 50 mm and axis 70 mm long rests with a point of its base circle on HP. The axis makes an angle of 500 to HP and parallel to VP. Draw the Projections. (June – July 2008 AU C)
10. A hexagonal pyramid side of base 25 mm and height 50 mm rests with its base on HP such that one of the edges of the bases is inclined at 200 to VP. Draw the top and front views of the pyramid. (Jan 2008 AU C)
11. Draw the projections of a regular pentagonal prism side of base 30 mm and axis 60 mm long resting with its base on HP such that one of its rectangular faces is parallel to and 10 mm in front of V.P. (Jan 2008 AU C)
12. A pentagonal prism side of base 25 mm and axis 50 mm long rests with one of its shorter edges on HP such that the base containing that edge makes an angle of 300 to HP and its axis is parallel to VP. Draw its projections. (Jan 2008 AU C)
13. Draw the projections of a pentagonal pyramid of base side 30 mm and altitude 60 mm when it is rests on the ground on one of its base edges with the axis inclined at 300 to the ground and parallel to the VP. Change of position method. (Dec 2008 AU C)
14. A hexagonal prism, side of base 25 mm and axis 60mm long, lies with one of its rectangular faces on HP, such that the axis is inclined at 450 to VP. Draw the projections using change of position method. (Dec 2007 AU Chennai)
15. A hexagonal prism of side of base 25mm & length of axis 65 mm is resting on the HP on one of its rectangular faces & its axis is inclined at 400 to VP. Draw its projections.
16. A hexagonal pyramid of side of base 25 mm, axis length 50mm lies with one of its triangular faces on the HP and its axis parallel to the VP. Draw its projections. (AUC Nov-Dec 2009)
Section of Solids
1. A cube of size 25mm rests on the HP on one of its face with a vertical face inclined 350 to the VP. It is cut by a plane inclined 350 to the HP and meeting the axis at a distance 20 mm above the HP. Draw its front view, sectional top view and true shape of the sections. (AUT MDU Dec 2010)
2. A hexagonal pyramid of base side 25 mm and axis 55mm rests on its base on the HP with two base edges perpendicular to the VP. It is cut by a plane perpendicular to the VP and inclined at 300 to the HP meeting the axis at a 20mm from the vertex. Draw the front view, sectional top view and the true shape of the section.(AUTM Jan 2011)
3. A cylinder of base diameter 50mm and height 60mm rests on its base on HP. It is cut by a plane perpendicular to VP and inclined at 450 to HP. The cutting plane meets the axis at a distance of 15mm from the top base. Draw the sectional plan and true shape of the section. (June 2011 AUTM)
4. A cone of base 75mm diameter and axis 80mm long is resting on its base on the HP. It is cut by a section plane perpendicular to the VP and parallel to and 12mm away from one of its end generators. Draw its front view, sectional top view and true shape of the section. (AUT MDU Jan 2012)
5. A cone of base 50mm diameter and axis 65mm long, rests with its base on the HP. It is cut by a section plane perpendicular to VP, inclined at 45 to HP and passing through a point on the axis 35 mm above the base. Draw the sectional top view and the true shape section. (AU C Nov – Dec 2007)
6. A hexagonal prism of base side 30mm and axis length 70mm rests on one of its ends on the HP with two base sides parallel to the VP It is cut by a plane perpendicular to the VP and inclined at 300 to the HP. The cutting plane meets the axis at 30mm from the top. Draw the front view and sectional top view and the true shape of the section. (AU C Nov – Dec 2008)
7. A cone of base diameter 50mm and axis length 65mm rests with its base on HP. It is cut by a section plane perpendicular to VP, inclined at 450 to HP and through a point on the axis 35 mm above the base. Draw the sectional top view and true shape of the section. (AUT Nov – Dec 2008). (AU C Nov – Dec 2008)
8. A cylinder of dia 50 mm & axis 70mm rests on the base on the ground. A plane cuts it perpendicular to the VP and inclined at 450 to HP. The cutting plane meets the axis at a distance of 15mm from the top. Draw the sectional plan and true shape of section.
9. A cone of base diameter 50mm and altitude 60mm rest on its base on the HP. It is cut by a plane perpendicular to the VP and parallel to one of the extreme generators, 10mm away from it. Draw the sectional top view and the true shape of the section.
10. A square prism side of base 30mm and axis 60mm long rests with its base on HP and one of its rectangular faces is inclined at 300 VP. A section plane perpendicular to VP and inclined at 600 to HP cuts the axis of the prism at a point 20mm from its top end. Draw the sectional top view and true shape of section. (AU C Jan 2008).
11. A hexagonal prism of base side 35mm and axis length 55mm is resting with its base on HP. Two of its vertical faces are perpendicular to VP. It is cut by a plane inclined at 500 to HP perpendicular to VP and passing through a point at a distance 15mm from the top face. Draw its front view, sectional top view and true shape of the section. (AU C June – July 2008).
Development of Surfaces
1. A hexagonal prism of side of base 30mm and axis 75mm long is resting on its base on HP such that a rectangular face is parallel to VP. It is cut by a section plane perpendicular to VP and inclined at 300 to HP. The section plane is passing through the top end of an extreme lateral edge of the prism. Draw the development of the lateral surface of the cut prism. (AU C Dec 2007)
2. A cylinder of diameter of base 40mm and axis 55mm is resting on its base on HP. It is cut by a section plane perpendicular to VP and inclined at 450 to HP. The section plane is passing through the top end of an extreme generator of the cylinder. Draw the development of the lateral surface of the cut cylinder. (AU C Dec 2007)
3. A cone of base 50mm diameter and height 65mm rests with its base on HP. A section plane perpendicular to VP and inclined at 300 to HP bisects the axis of the cone. Draw the development of the lateral surface of the truncated cone. (Dec 2008)
4. A circular hole of diameter 30mm is drilled through a vertical cylinder of diameter 50mm and height 65mm. The axis of the hole is perpendicular to the VP and meets the axis of the cylinder at right angles at a height of 30mm above the base. Draw the development of the lateral surface of the cylinder. (AU C Dec 2008)
5. A pentagonal pyramid, side of base 30mm and height 52mm, stands with its base on HP and an edge of the base is parallel to VP and nearer to it. It is cut by a plane perpendicular to VP, inclined at an angle of 400 to HP and passing through a point on the axis, 32mm above the base. Draw the sectional top view. Develop the lateral surfaces of the truncated pyramid. (AU C Dec 2008)
6. A lamp shade is formed by cutting a cone of base 144mm diameter and 174mm height by a horizontal plane at a distance of 72mm from the apex and another plane inclined at 300 to HP, passing through one extremity of the base. Draw the development of the lamp shade. (AU C Dec 2008)
7. A cone of base diameter 40mm and axis 60mm on the ground on its base. A cutting plane inclined at450 to the HP and perpendicular to the VP cuts the cone through the midpoint of the axis. Draw the development. (AU C Dec 2009)
8. A square pyramid of base side 30mm and axis 60mm rest on its base on the ground with one of the sides of the base inclined at 300 to the VP. A string is wound round the surfaces of the pyramid starting from left extreme point on the base and ending at the same point. The shortest length of the string required. Also trace the path of the string in the front and top views. (AU C Dec 2009)
9. A cylinder of 50mm diameter and axis 65mm long is standing vertically on its base on HP. It is penetrated by a square prism of 25mm side and 90mm length, such that the faces are equally inclined to HP. The axes of the solids intersect at right angles. Draw the development of the lateral surfaces of the intersection of the prism and cylinder. (AU C Dec 2009)
10. A vertical chimney of 70 cm diameter joins a roof sloping at an angle of 350 with the horizontal. The shortest portion over the roof is 32 cm. Determine the shape of the sheet metal from which the chimney can be fabricated. Take a scale of 1:20.
11. A cone of base 50mm diameter and height 65mm rests with its base on HP. A section plane perpendicular to VP and inclined at 300 to HP bisects the axis of the cone. Draw the development of the lateral surface of the truncated cone. (AU C Jan 2008)
12. Draw the development of the lower portion of a cylinder of diameter 40mm and axis 70mm when sectioned by a plane inclined at 400 to HP, perpendicular to VP and bisecting the axis. (AU C Jul 2008)
13. A square pyramid of base side 25mm and altitude 65mm rests on HP on its base with the base edge equally inclined to VP. It is cut by a plane perpendicular to VP and inclined at 300 to HP meeting the axis at 25mm above HP. Draw the development of the lateral surface of the square pyramid. (AU C Jul 2008)
14. A lamp shade is formed by cutting a cone of base 140 mm diameter and 170 mm height by a horizontal plane at 300 to HP, passing through one extremity of the base. Draw the development of the lamp shade. (AU C Dec 2008)
15. A cylinder of base diameter 50mm and axis length 60mm is resting on HP on its base, cut by a plane inclined at 550 to HP and perpendicular to VP. The cutting plane is passing through a point on the axis at a distance 30mm from the top end. Draw the development of the lateral surface of the remaining portion of the cylinder.(AUTM Jan 2011)
16. A hexagonal pyramid of base 30 mm and axis length 60 mm is resting on HP on its base such that two base sides are perpendicular to VP. A section plane perpendicular to VP and inclined at 30o to HP bisects the axis of the pyramid. Draw the development of the lateral surface of the remaining portion below the cutting plane.
17. A cone of base diameter 50mm axis length 60mm rest on HP on its base. It is cut by a plane perpendicular to VP and parallel to one of the extreme generator and passing through a point on the axis at a distance 22mm from the apex. Draw the development of portion below the cutting plane. (AUC Dec 2010)
18. A cylinder of base diameter 50mm and axis length 60mm is resting on HP on its base, cut by a plane inclined at 55o to HP and perpendicular to VP. The cutting plane is passing through a point on the axis at a distance 30mm from the top end. Draw the development of the lateral surface of the remaining portion of the cylinder. (AUTM Jan 2011)
19. A cone of base diameter 50mm and axis length 70mm rests with its base on HP. A sectional plane perpendicular to VP and inclined at 35o to HP bisects the axis of the cone. Draw the development of the truncated cone. (AUTM June 2011)
20. A cylinder of diameter of base 40mm and axis 55mm is resting on its base on HP. It is cut by a section plane perpendicular to VP and inclined 45o to HP. The cylinder. Draw the development of the lateral surface of the cut cylinder. (AUTM Dec 2011).
21. A regular hexagonal pyramid side of base 30mm and height 60mm is resting vertically on its base on HP. Such that two of its sides of the base are perpendicular to VP. The cutting plane bisects the axis of the pyramid. Obtain the development of the lateral surface of the truncated pyramid. (AU C Jan 2012)
22. Draw the development of the lateral surface of the lower portion of a cylinder of diameter 50mm and axis 70mm. The solid is cut by a section plane inclined at 40o to HP and perpendicular to VP and passing through the midpoint of the axis. (AU C Jan 2011)
23. A cone of diameter 50mm and axis 60mm is resting on the HP on its base. It is cut by a section plane perpendicular to both HP and VP, 8mm away from axis. Draw the development of the lateral surface of the larger portion of cone. (AU C Jan 2005).
Perspective Projections
1. A square prism, side of base 40 mm and height 60 mm rests with its base on the ground such that one of its rectangular faces is parallel to and 10 mm behind the picture plane. The station point in 30 mm in front of PP., 80 mm above the ground plane and lies in a central plane 45 mm to the right of the centre of the prism. Draw the perspective view by visual ray method. (AU NOV/DEC 2008)
2. A square pyramid of base 30mm side and axis 60mm height rests on the ground vertically with a base corner in PP and the base edges equally inclined to the PP. The station point is 50mm in front of PP and 70mm above the ground. The central plane is 15mm to the left of the axis of the solid. Draw the perspective projection. (AU NOV/DEC 2009)
3. A hexagonal prism of base side 20 mm and axis length 50 mm rest on the ground plane on one of its rectangular faces with its axis inclined at 300 to the PP. A corner of the base is touching the PP. The station point is 60 mm in front of the PP and lies in a central plane that bisects the axis. The station point is 40 mm above the ground plane. Draw the perspective view of the prism. (AU NOV/DEC 2009)
4. A rectangular prism side of base 50 mm X 30 mm and height 55 mm rests with its base on the ground plane. A vertical edge is in the picture plane and one of the longer edges of its base is inclined at 450 to PP and behind it. The station point is 50 mm in front of PP, 75 mm above the ground plane and lies in a central plane which passes through the centre of the prism. Draw the perspective view. (AU JAN -2008)
5. A square prism, side of base 30 mm and height 60 mm rest on GP on its base with an edge of base inclined 450 to PP. The nearest corner is 30 mm to the right of station point and 30 mm behind PP. The station point is 50 mm above GP and 100 mm in front of PP. Draw the perspective view of the square prism. (AU NOV/DEC 2010)
6. A square pyramid of 25mm base edge and 50 mm axis , rest on the ground with its edges equally inclined to PP. The station point is 50 mm above the ground, 45 mm in front of PP and 10mm to the left of nearest corner. Draw the perspective projection of the solid. (AU JAN -2011)
7. Draw the perspective projection of a square prism of base sides 40 mm and height 50 mm. One vertical lateral face is parallel to PP and 30 mm away from it. The station point is 80 mm from PP, 80 mm above the base and 60 mm to the right of the axis of the prism. (AU JUNE -2011)
8. A square prism side of base 60 mm and height 80 mm rest with its base on the ground such that one of its rectangular faces is parallel to and 15 mm behind the PP. The station point is 45 mm in front of PP, 75 mm above the GP. And lies in a central plane 50 mm to the right of the centre of prism. Draw the perspective projection of the solid.
9. A square prism of base 25 X 25 mm and height 40 mm is resting on the GP on its square base with a right side rectangular face making 600 with PP. The corner nearest to the PP is 40 mm to the left of the station point and 20 mm behind PP. The station point is 60 mm above GP and 50 mm in-front of PP. Draw the perspective projection of the solid.( AU JAN – 2012)
10. A rectangular pyramid base 30 mm X 20 mm and axis 35 mm long is placed on the ground plane on its base, with the longer edge of the base parallel to and 30 mm behind the PP. The central plane is 30 mm to the left of the apex and station point is 50 mm in-front of PP and 25 mm above GP. Draw the perspective view of the pyramid. ( AU JAN – 2012)
Isometric Projections
1. A pentagonal pyramid, 30 mm edge of base and 65 mm height stands on HP such that an edge of the base is parallel to VP and nearer to it. A section plane perpendicular to VP and inclined at 300 to HP cuts the pyramid passing through a point on the axis at a height to 35 mm from the base. Draw the isometric view of the truncated pyramid, showing the cut surface. (AUC DEC 2007, JAN - 2011)
2. A pentagonal pyramid, base 30 mm and axis 65 mm long, rest with its base on HP an edge of the base is parallel to VP and nearer to it. A horizontal section plane cuts the pyramid and passes through a point on the axis at a distance of 25 mm from the apex. Draw the isometric view of the frustum of the pyramid. (AU DEC 2008)
3. A hexagonal prism side of base 25 mm and height 50 mm rests on HP and one of the edges of base is parallel to the VP. A section plane perpendicular to VP and inclined at 500 to HP bisects the axis of the prism. Draw the isometric projection of the truncated prism showing the cut surface. (AU NOV / DEC 2008)
4. Draw the isometric view of truncated hexagonal pyramid of base side 30 mm and height 70 mm rests on its base on HP with a base edge parallel to VP. It is cut by a plane perpendicular to VP, inclined at 450 to HP and meeting the axis at 40 mm from the base. (AU NOV / DEC 2009)
5. A cylinder of 60 mm diameter and 70 mm height stands on HP. A section plane perpendicular to VP and inclined at an angle of 500 to HP cuts the cylinder and passes through a point on the axis at a height of 50 mm above the base. Draw the isometric projection of the truncated portion of the cylinder, when the cut surface is clearly visible to the observer. (AU NOV / DEC 2009)
6. Draw the Isometric view of a hexagonal pyramid of side of base 30 mm and height 75 mm when it is resting on HP such that an edge of the base is parallel to VP. (AU JAN 2008)
7. A sphere of diameter 40 mm rests centrally on top of a cube of side 50 mm .Draw the isometric projection of the solids. (AU JAN 2008)
8. A cylinder of 50 mm diameter and 60 mm height stands on HP. A section plane perpendicular to VP and inclined at an angle of 550 to HP cuts the cylinder and passes through a point on the axis at a height of 45 mm above the base. Draw the isometric projection of the truncated portion of the cylinder, when the cut surface is clearly visible to the observer. (AU NOV / DEC 2008, NOV / DEC 2010)
9. A pentagonal pyramid of base 30 mm and height 65 mm is resting on HP on its base with a side of base perpendicular to VP. It is cut by a plane inclined at 300 to HP and perpendicular to VP and passes through a point at a distance 30 mm from the apex. Draw the isometric view of the remaining portion of the pyramid. (AUC JAN 2011)
10. A waste paper basket is in the form of a frustum of hexagonal pyramid with base 80 mm hexagon and top 120 mm. Draw the isometric view of its height is 200 mm. The thickness of the basket can be taken as 12 mm. Adopt suitable scale.
11. A cone of diameter of base 60 mm and height 65 mm rests with its base on HP. A cutting plane perpendicular to VP and inclined at 300 to HP. Cuts the cone such that it passes through a point on the axis at a distance of 30 mm above the base of the cone. Draw the isometric projection of the truncated cone showing the cut surface. (AU JAN 2012)
1. A pentagonal pyramid of base side 30 mm and axis length 60 mm rests on HP on one of its base sides such that the highest base corner is 20mm above HP and its axis parallel to VP. Draw its projections. (Dec 2010 – AUT Triunelveli)
2. A hexagonal prism of base side 30 mm and axis length 60 mm rests on HP on one of its base corners with a solid diagonal passing through that corner is perpendicular to HP. Draw its projections.
3. A pentagonal pyramid of base 30 mm and axis length 60 mm is resting on HP on one of its triangle faces with its axis parallel to VP. Draw its Projection (Jan 2011 AUTM)
4. A hexagonal pyramid of base edge 40mm and altitude 80 mm rests on one of its base edges on the HP with its axis inclined at 30o to the HP parallel to the VP Draw its top and front views. (June 2011 AUT Madurai)
5. A pentagonal pyramid of base of side 25 mm and axis 65 mm has its axis perpendicular to the VP and 50 mm above the HP. Draw its projections of the pyramid if one edge of its base is inclined at 300 to the HP.(Dec 2010 AUT Madurai)
6. A Hexagonal pyramid of side of base 30 mm and axis 60 mm long resting on H.P on one of its base corners with its axis inclined at 350 to HP and parallel to V.P. The base side containing the resting corner is equally inclined to HP. Draw its projections.
7. A cone of base diameter 50 mm and axis length 60 mm is resting on HP on one of its generators with its axis parallel to VP. Draw its projections. (Nov – Dec 2008 AU)
8. A cone of base diameter 45 mm and axis length 65 mm is resting on HP on a point on the circumference of the base. The base is inclined at 500 to HP and axis parallel to VP. Draw its projections. (June – July 2008 AU C)
9. A cylinder of base diameter 50 mm and axis 70 mm long rests with a point of its base circle on HP. The axis makes an angle of 500 to HP and parallel to VP. Draw the Projections. (June – July 2008 AU C)
10. A hexagonal pyramid side of base 25 mm and height 50 mm rests with its base on HP such that one of the edges of the bases is inclined at 200 to VP. Draw the top and front views of the pyramid. (Jan 2008 AU C)
11. Draw the projections of a regular pentagonal prism side of base 30 mm and axis 60 mm long resting with its base on HP such that one of its rectangular faces is parallel to and 10 mm in front of V.P. (Jan 2008 AU C)
12. A pentagonal prism side of base 25 mm and axis 50 mm long rests with one of its shorter edges on HP such that the base containing that edge makes an angle of 300 to HP and its axis is parallel to VP. Draw its projections. (Jan 2008 AU C)
13. Draw the projections of a pentagonal pyramid of base side 30 mm and altitude 60 mm when it is rests on the ground on one of its base edges with the axis inclined at 300 to the ground and parallel to the VP. Change of position method. (Dec 2008 AU C)
14. A hexagonal prism, side of base 25 mm and axis 60mm long, lies with one of its rectangular faces on HP, such that the axis is inclined at 450 to VP. Draw the projections using change of position method. (Dec 2007 AU Chennai)
15. A hexagonal prism of side of base 25mm & length of axis 65 mm is resting on the HP on one of its rectangular faces & its axis is inclined at 400 to VP. Draw its projections.
16. A hexagonal pyramid of side of base 25 mm, axis length 50mm lies with one of its triangular faces on the HP and its axis parallel to the VP. Draw its projections. (AUC Nov-Dec 2009)
Section of Solids
1. A cube of size 25mm rests on the HP on one of its face with a vertical face inclined 350 to the VP. It is cut by a plane inclined 350 to the HP and meeting the axis at a distance 20 mm above the HP. Draw its front view, sectional top view and true shape of the sections. (AUT MDU Dec 2010)
2. A hexagonal pyramid of base side 25 mm and axis 55mm rests on its base on the HP with two base edges perpendicular to the VP. It is cut by a plane perpendicular to the VP and inclined at 300 to the HP meeting the axis at a 20mm from the vertex. Draw the front view, sectional top view and the true shape of the section.(AUTM Jan 2011)
3. A cylinder of base diameter 50mm and height 60mm rests on its base on HP. It is cut by a plane perpendicular to VP and inclined at 450 to HP. The cutting plane meets the axis at a distance of 15mm from the top base. Draw the sectional plan and true shape of the section. (June 2011 AUTM)
4. A cone of base 75mm diameter and axis 80mm long is resting on its base on the HP. It is cut by a section plane perpendicular to the VP and parallel to and 12mm away from one of its end generators. Draw its front view, sectional top view and true shape of the section. (AUT MDU Jan 2012)
5. A cone of base 50mm diameter and axis 65mm long, rests with its base on the HP. It is cut by a section plane perpendicular to VP, inclined at 45 to HP and passing through a point on the axis 35 mm above the base. Draw the sectional top view and the true shape section. (AU C Nov – Dec 2007)
6. A hexagonal prism of base side 30mm and axis length 70mm rests on one of its ends on the HP with two base sides parallel to the VP It is cut by a plane perpendicular to the VP and inclined at 300 to the HP. The cutting plane meets the axis at 30mm from the top. Draw the front view and sectional top view and the true shape of the section. (AU C Nov – Dec 2008)
7. A cone of base diameter 50mm and axis length 65mm rests with its base on HP. It is cut by a section plane perpendicular to VP, inclined at 450 to HP and through a point on the axis 35 mm above the base. Draw the sectional top view and true shape of the section. (AUT Nov – Dec 2008). (AU C Nov – Dec 2008)
8. A cylinder of dia 50 mm & axis 70mm rests on the base on the ground. A plane cuts it perpendicular to the VP and inclined at 450 to HP. The cutting plane meets the axis at a distance of 15mm from the top. Draw the sectional plan and true shape of section.
9. A cone of base diameter 50mm and altitude 60mm rest on its base on the HP. It is cut by a plane perpendicular to the VP and parallel to one of the extreme generators, 10mm away from it. Draw the sectional top view and the true shape of the section.
10. A square prism side of base 30mm and axis 60mm long rests with its base on HP and one of its rectangular faces is inclined at 300 VP. A section plane perpendicular to VP and inclined at 600 to HP cuts the axis of the prism at a point 20mm from its top end. Draw the sectional top view and true shape of section. (AU C Jan 2008).
11. A hexagonal prism of base side 35mm and axis length 55mm is resting with its base on HP. Two of its vertical faces are perpendicular to VP. It is cut by a plane inclined at 500 to HP perpendicular to VP and passing through a point at a distance 15mm from the top face. Draw its front view, sectional top view and true shape of the section. (AU C June – July 2008).
Development of Surfaces
1. A hexagonal prism of side of base 30mm and axis 75mm long is resting on its base on HP such that a rectangular face is parallel to VP. It is cut by a section plane perpendicular to VP and inclined at 300 to HP. The section plane is passing through the top end of an extreme lateral edge of the prism. Draw the development of the lateral surface of the cut prism. (AU C Dec 2007)
2. A cylinder of diameter of base 40mm and axis 55mm is resting on its base on HP. It is cut by a section plane perpendicular to VP and inclined at 450 to HP. The section plane is passing through the top end of an extreme generator of the cylinder. Draw the development of the lateral surface of the cut cylinder. (AU C Dec 2007)
3. A cone of base 50mm diameter and height 65mm rests with its base on HP. A section plane perpendicular to VP and inclined at 300 to HP bisects the axis of the cone. Draw the development of the lateral surface of the truncated cone. (Dec 2008)
4. A circular hole of diameter 30mm is drilled through a vertical cylinder of diameter 50mm and height 65mm. The axis of the hole is perpendicular to the VP and meets the axis of the cylinder at right angles at a height of 30mm above the base. Draw the development of the lateral surface of the cylinder. (AU C Dec 2008)
5. A pentagonal pyramid, side of base 30mm and height 52mm, stands with its base on HP and an edge of the base is parallel to VP and nearer to it. It is cut by a plane perpendicular to VP, inclined at an angle of 400 to HP and passing through a point on the axis, 32mm above the base. Draw the sectional top view. Develop the lateral surfaces of the truncated pyramid. (AU C Dec 2008)
6. A lamp shade is formed by cutting a cone of base 144mm diameter and 174mm height by a horizontal plane at a distance of 72mm from the apex and another plane inclined at 300 to HP, passing through one extremity of the base. Draw the development of the lamp shade. (AU C Dec 2008)
7. A cone of base diameter 40mm and axis 60mm on the ground on its base. A cutting plane inclined at450 to the HP and perpendicular to the VP cuts the cone through the midpoint of the axis. Draw the development. (AU C Dec 2009)
8. A square pyramid of base side 30mm and axis 60mm rest on its base on the ground with one of the sides of the base inclined at 300 to the VP. A string is wound round the surfaces of the pyramid starting from left extreme point on the base and ending at the same point. The shortest length of the string required. Also trace the path of the string in the front and top views. (AU C Dec 2009)
9. A cylinder of 50mm diameter and axis 65mm long is standing vertically on its base on HP. It is penetrated by a square prism of 25mm side and 90mm length, such that the faces are equally inclined to HP. The axes of the solids intersect at right angles. Draw the development of the lateral surfaces of the intersection of the prism and cylinder. (AU C Dec 2009)
10. A vertical chimney of 70 cm diameter joins a roof sloping at an angle of 350 with the horizontal. The shortest portion over the roof is 32 cm. Determine the shape of the sheet metal from which the chimney can be fabricated. Take a scale of 1:20.
11. A cone of base 50mm diameter and height 65mm rests with its base on HP. A section plane perpendicular to VP and inclined at 300 to HP bisects the axis of the cone. Draw the development of the lateral surface of the truncated cone. (AU C Jan 2008)
12. Draw the development of the lower portion of a cylinder of diameter 40mm and axis 70mm when sectioned by a plane inclined at 400 to HP, perpendicular to VP and bisecting the axis. (AU C Jul 2008)
13. A square pyramid of base side 25mm and altitude 65mm rests on HP on its base with the base edge equally inclined to VP. It is cut by a plane perpendicular to VP and inclined at 300 to HP meeting the axis at 25mm above HP. Draw the development of the lateral surface of the square pyramid. (AU C Jul 2008)
14. A lamp shade is formed by cutting a cone of base 140 mm diameter and 170 mm height by a horizontal plane at 300 to HP, passing through one extremity of the base. Draw the development of the lamp shade. (AU C Dec 2008)
15. A cylinder of base diameter 50mm and axis length 60mm is resting on HP on its base, cut by a plane inclined at 550 to HP and perpendicular to VP. The cutting plane is passing through a point on the axis at a distance 30mm from the top end. Draw the development of the lateral surface of the remaining portion of the cylinder.(AUTM Jan 2011)
16. A hexagonal pyramid of base 30 mm and axis length 60 mm is resting on HP on its base such that two base sides are perpendicular to VP. A section plane perpendicular to VP and inclined at 30o to HP bisects the axis of the pyramid. Draw the development of the lateral surface of the remaining portion below the cutting plane.
17. A cone of base diameter 50mm axis length 60mm rest on HP on its base. It is cut by a plane perpendicular to VP and parallel to one of the extreme generator and passing through a point on the axis at a distance 22mm from the apex. Draw the development of portion below the cutting plane. (AUC Dec 2010)
18. A cylinder of base diameter 50mm and axis length 60mm is resting on HP on its base, cut by a plane inclined at 55o to HP and perpendicular to VP. The cutting plane is passing through a point on the axis at a distance 30mm from the top end. Draw the development of the lateral surface of the remaining portion of the cylinder. (AUTM Jan 2011)
19. A cone of base diameter 50mm and axis length 70mm rests with its base on HP. A sectional plane perpendicular to VP and inclined at 35o to HP bisects the axis of the cone. Draw the development of the truncated cone. (AUTM June 2011)
20. A cylinder of diameter of base 40mm and axis 55mm is resting on its base on HP. It is cut by a section plane perpendicular to VP and inclined 45o to HP. The cylinder. Draw the development of the lateral surface of the cut cylinder. (AUTM Dec 2011).
21. A regular hexagonal pyramid side of base 30mm and height 60mm is resting vertically on its base on HP. Such that two of its sides of the base are perpendicular to VP. The cutting plane bisects the axis of the pyramid. Obtain the development of the lateral surface of the truncated pyramid. (AU C Jan 2012)
22. Draw the development of the lateral surface of the lower portion of a cylinder of diameter 50mm and axis 70mm. The solid is cut by a section plane inclined at 40o to HP and perpendicular to VP and passing through the midpoint of the axis. (AU C Jan 2011)
23. A cone of diameter 50mm and axis 60mm is resting on the HP on its base. It is cut by a section plane perpendicular to both HP and VP, 8mm away from axis. Draw the development of the lateral surface of the larger portion of cone. (AU C Jan 2005).
Perspective Projections
1. A square prism, side of base 40 mm and height 60 mm rests with its base on the ground such that one of its rectangular faces is parallel to and 10 mm behind the picture plane. The station point in 30 mm in front of PP., 80 mm above the ground plane and lies in a central plane 45 mm to the right of the centre of the prism. Draw the perspective view by visual ray method. (AU NOV/DEC 2008)
2. A square pyramid of base 30mm side and axis 60mm height rests on the ground vertically with a base corner in PP and the base edges equally inclined to the PP. The station point is 50mm in front of PP and 70mm above the ground. The central plane is 15mm to the left of the axis of the solid. Draw the perspective projection. (AU NOV/DEC 2009)
3. A hexagonal prism of base side 20 mm and axis length 50 mm rest on the ground plane on one of its rectangular faces with its axis inclined at 300 to the PP. A corner of the base is touching the PP. The station point is 60 mm in front of the PP and lies in a central plane that bisects the axis. The station point is 40 mm above the ground plane. Draw the perspective view of the prism. (AU NOV/DEC 2009)
4. A rectangular prism side of base 50 mm X 30 mm and height 55 mm rests with its base on the ground plane. A vertical edge is in the picture plane and one of the longer edges of its base is inclined at 450 to PP and behind it. The station point is 50 mm in front of PP, 75 mm above the ground plane and lies in a central plane which passes through the centre of the prism. Draw the perspective view. (AU JAN -2008)
5. A square prism, side of base 30 mm and height 60 mm rest on GP on its base with an edge of base inclined 450 to PP. The nearest corner is 30 mm to the right of station point and 30 mm behind PP. The station point is 50 mm above GP and 100 mm in front of PP. Draw the perspective view of the square prism. (AU NOV/DEC 2010)
6. A square pyramid of 25mm base edge and 50 mm axis , rest on the ground with its edges equally inclined to PP. The station point is 50 mm above the ground, 45 mm in front of PP and 10mm to the left of nearest corner. Draw the perspective projection of the solid. (AU JAN -2011)
7. Draw the perspective projection of a square prism of base sides 40 mm and height 50 mm. One vertical lateral face is parallel to PP and 30 mm away from it. The station point is 80 mm from PP, 80 mm above the base and 60 mm to the right of the axis of the prism. (AU JUNE -2011)
8. A square prism side of base 60 mm and height 80 mm rest with its base on the ground such that one of its rectangular faces is parallel to and 15 mm behind the PP. The station point is 45 mm in front of PP, 75 mm above the GP. And lies in a central plane 50 mm to the right of the centre of prism. Draw the perspective projection of the solid.
9. A square prism of base 25 X 25 mm and height 40 mm is resting on the GP on its square base with a right side rectangular face making 600 with PP. The corner nearest to the PP is 40 mm to the left of the station point and 20 mm behind PP. The station point is 60 mm above GP and 50 mm in-front of PP. Draw the perspective projection of the solid.( AU JAN – 2012)
10. A rectangular pyramid base 30 mm X 20 mm and axis 35 mm long is placed on the ground plane on its base, with the longer edge of the base parallel to and 30 mm behind the PP. The central plane is 30 mm to the left of the apex and station point is 50 mm in-front of PP and 25 mm above GP. Draw the perspective view of the pyramid. ( AU JAN – 2012)
Isometric Projections
1. A pentagonal pyramid, 30 mm edge of base and 65 mm height stands on HP such that an edge of the base is parallel to VP and nearer to it. A section plane perpendicular to VP and inclined at 300 to HP cuts the pyramid passing through a point on the axis at a height to 35 mm from the base. Draw the isometric view of the truncated pyramid, showing the cut surface. (AUC DEC 2007, JAN - 2011)
2. A pentagonal pyramid, base 30 mm and axis 65 mm long, rest with its base on HP an edge of the base is parallel to VP and nearer to it. A horizontal section plane cuts the pyramid and passes through a point on the axis at a distance of 25 mm from the apex. Draw the isometric view of the frustum of the pyramid. (AU DEC 2008)
3. A hexagonal prism side of base 25 mm and height 50 mm rests on HP and one of the edges of base is parallel to the VP. A section plane perpendicular to VP and inclined at 500 to HP bisects the axis of the prism. Draw the isometric projection of the truncated prism showing the cut surface. (AU NOV / DEC 2008)
4. Draw the isometric view of truncated hexagonal pyramid of base side 30 mm and height 70 mm rests on its base on HP with a base edge parallel to VP. It is cut by a plane perpendicular to VP, inclined at 450 to HP and meeting the axis at 40 mm from the base. (AU NOV / DEC 2009)
5. A cylinder of 60 mm diameter and 70 mm height stands on HP. A section plane perpendicular to VP and inclined at an angle of 500 to HP cuts the cylinder and passes through a point on the axis at a height of 50 mm above the base. Draw the isometric projection of the truncated portion of the cylinder, when the cut surface is clearly visible to the observer. (AU NOV / DEC 2009)
6. Draw the Isometric view of a hexagonal pyramid of side of base 30 mm and height 75 mm when it is resting on HP such that an edge of the base is parallel to VP. (AU JAN 2008)
7. A sphere of diameter 40 mm rests centrally on top of a cube of side 50 mm .Draw the isometric projection of the solids. (AU JAN 2008)
8. A cylinder of 50 mm diameter and 60 mm height stands on HP. A section plane perpendicular to VP and inclined at an angle of 550 to HP cuts the cylinder and passes through a point on the axis at a height of 45 mm above the base. Draw the isometric projection of the truncated portion of the cylinder, when the cut surface is clearly visible to the observer. (AU NOV / DEC 2008, NOV / DEC 2010)
9. A pentagonal pyramid of base 30 mm and height 65 mm is resting on HP on its base with a side of base perpendicular to VP. It is cut by a plane inclined at 300 to HP and perpendicular to VP and passes through a point at a distance 30 mm from the apex. Draw the isometric view of the remaining portion of the pyramid. (AUC JAN 2011)
10. A waste paper basket is in the form of a frustum of hexagonal pyramid with base 80 mm hexagon and top 120 mm. Draw the isometric view of its height is 200 mm. The thickness of the basket can be taken as 12 mm. Adopt suitable scale.
11. A cone of diameter of base 60 mm and height 65 mm rests with its base on HP. A cutting plane perpendicular to VP and inclined at 300 to HP. Cuts the cone such that it passes through a point on the axis at a distance of 30 mm above the base of the cone. Draw the isometric projection of the truncated cone showing the cut surface. (AU JAN 2012)
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