SECTION OF SOLIDS
1. A right regular hexagonal pyramid of side of base 35 mm and height 65 mm is resting on one of its slant faces, with the vertical plane containing the axis inclined at an angle of 60º to the VP and the apex nearer to the ground line. It is cut by a vertical plane parallel to VP bisecting the axis. Draw the projections and true shape of the section.
2. A pentagonal pyramid, base 30 mm side and axis 60 mm long, is lying on one of its triangular faces on the HP. With the axis parallel to the VP. A vertical section plane, whose HT bisects the top view of the axis and makes an angle of 30º with the reference line, cuts the pyramid, removing its top part. Draw the top view, sectional front view and true shape of the section.
3. A right regular pentagonal prism, of 25 mm base edge and 60 mm axis length, lying on one of its longer edges on HP such that its two rectangular faces containing the longer edge makes equal angles with HP and longer edge is inclined at 35º to VP. A section plane perpendicular to HP and parallel to VP and passing through the corner of the rear pentagonal face farthest away from the VP. Draw all the views.
4. A triangular prism of base 50 mm side and axis 66 mm long, has its base on the ground and its one rectangular face is parallel to VP. It is cut by a plane perpendicular to VP. It is cut by a plane perpendicular to VP, inclined 60º to HP and passing through a point on the axis 20 mm below the top end. Draw the front view, sectional top view and the shape of the sectioned solid showing the true shape of the section.
5. A pentagonal pyramid of base side 40 mm and axis length 80 mm is lying on the HP on one of its triangular faces with its axis parallel to VP. It is cut by a plane inclined at 30º to HP and perpendicular to VP. The cutting plane meets the axis at 15 mm from the base. Draw the elevation, sectional plan and true shape of the section.
6. A hexagonal prism has a rectangular face on the HP and the axis is parallel to the VP. It is cut by a vertical sectional plane, the HT of which makes an angle of 45º with XY and which cuts the axis at a point 20 mm from the right end point of the axis. Draw its sectional front view and true shape of the section. Side of base 25 mm long, height 65 mm.
7. A right regular hexagonal pyramid side of base 25 mm and height 60 mm has its base on HP, and two of its base edges are parallel to VP. A section plane perpendicular to VP and inclined to HP at 30º cuts the pyramid and passes through a point on the axis 40 mm below the vertex. Draw the front view, sectional top view and true shape of the section.
8. A right regular pentagonal prism, side of base 32 mm and height 65 mm rests on its base on the HP, with one of its base edges is inclined at 30º to the VP. A section plane perpendicular to the VP and inclined at 50º to the HP cuts the axis at a point 45mm from the base. Draw the following views of the prism. I) Front view II) Sectional top view III) True shape of the section.
9. A hexagonal pyramid, base 30 mm side and axis 70 mm long, is resting one of its slant edges on the HP. A section plane, perpendicular to the VP and inclined to HP passes through the highest corner of the base and intersecting the axis at 25 mm from the base. Draw the following views of the pyramid and also determine the inclination of the section plane with the HP a) Front view b) Sectional top view c) True shape of the section.
10. A right regular pentagonal prism, side of base 25 mm and height 65 mm rests on an edge of its base on the HP, such that a rectangular face containing the base edge is inclined at 30º to the HP. A section plane perpendicular to the HP and inclined at 45º to the VP cuts the prism such that longer edge farthest away from the VP is bisected. Draw the following views of the prism a) Top view b) Sectional front view c) True shape of the section.
11. A cylinder, 50 mm diameter and 70 mm long, has the axis parallel to both the HP and VP. A Section plane, perpendicular to the HP and inclined at 45º to the VP cuts the axis at a distance of 52 mm from its base. Draw the following views a) Top view b) Sectional Front view c) True shape of the section.
12. A pentagonal pyramid, base 30 mm sides and axis 75 mm long is resting on the ground with one of its triangular faces with the axis parallel to the VP. It is cut by a section plane, perpendicular to the VP and inclined at 45º to the HP and passing through the midpoint of the axis, the apex portion being removed. Draw the following views a) Front view b) Sectional top view c) True shape of the section.
13. A cone, diameter of base 60 mm and the axis 70 mm long is resting on its base on the ground. It is cut by a sectional plane, perpendicular to the VP and inclined at 65º to the HP and cutting the axis at a point 20 mm from the apex. Draw the following views a) Front view b) Sectional top view c) True shape of the section.
14. A hollow pentagonal prism, outside base edge 40 mm, height 70 mm and thickness 10 mm is resting on its base on the HP. One of its vertical faces is inclined at 45º to the VP. A section plane inclined at 30º to the HP and perpendicular to the VP passes through the axis 25 mm from the top end cuts the hollow prism. Draw the following views a) Front view b) Sectional top view c) True shape of the section d) Sectional side view
15. A hexagonal pyramid, base sides 40 mm, axis 90 mm long has its base on the HP with two base edges parallel to the VP. It is cut by a sectional plane, inclined at 60º to the HP and perpendicular to the VP and passing through a point on the axis 60 mm above the base. Draw the following a) Front view b) Sectional top view c) True shape of the section d) Sectional side view.
16. A hollow square prism, outside base edges 50 mm, height 75 mm and thickness 10 mm is resting on its base on HP such that one of its vertical faces is inclined at 30º to the VP. A section plane inclined at 30º to the HP and perpendicular to the VP passes through the axis 15 mm from its top end cuts the prism. a) Front view b) Sectional top view c) True shape of the section d) Sectional side view.
17. A hexagonal pyramid, base 30 mm side and axis 65 mm long is resting on its base on the ground with two base edges parallel to the VP. It is cut by a section plane, inclined at 45º to the HP and perpendicular to VP and passing through a point on the axis 25 mm above the base. Draw the following a) Front view b) Sectional top view c) True shape of the section.
18. A cylinder of 50 mm diameter and 65 mm long with its axis vertical is resting on HP. It is cut by a section plane perpendicular to VP, inclined at 45º to HP and passing through a point on the axis 50 mm above the base. Draw three views and true shape of the section.
19. A sphere of 50 mm diameter is cut by a section plane perpendicular to VP, inclined at 45º to the HP and at a distance of 10 mm from its center. Draw the sectional top view and true shape of the section.
20. A cube of 65 mm long edges has its vertical faces equally inclined to the VP. It is cut by a section plane perpendicular to VP so that the true shape is a regular hexagon. Draw the true shape and sectional top view.
21. A square pyramid base 50 mm side and axis 75 mm long is resting on the HP on one of its triangular faces, the top view of the axis makes an angle 30º with the VP. It is cut by a horizontal section plane the VT of which intersects the axis at a point 6 mm from the base. Draw the front view, sectional top view and true shape of the section.
22. A cone base 70 mm diameter axis 75 mm long and resting on its base on the HP, it is cut by a vertical sectional plane the HT of which makes an angle of 30º with the reference line and is 12 mm away from the top view of the axis. Draw the sectional view and true shape of the section.
23. Draw the question no.22 when the section plane is parallel to VP.
Please click on below link to download CBSE Class 11 Engineering Graphics Projection of Solids Worksheet Set B
