Isometric View and Projection

1) A pentagonal pyramid edge of base 30mm and height 65mm 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 30˚ to HP cuts the pyramid passing through the point on the axis at a height of 35mm from the base. Draw the isometric view of the truncated pyramid showing the cut surface.

2) A right regular hexagonal prism edge of base 22mm and 60mm long lies on its rectangular face on ground plane. A right circular cylinder of diameter 35mm and 50mm long rests centrally on top rectangular surface of the prism. Draw the isometric projection of the solids.

3) A square slab of 60mm side and 15mm height is surmounted by another square slab of 45mm side and 24mm height. On its top a right circular cone of diameter 40mm and height 60mm is placed. The axes of the solids are in a same vertical line. Draw the isometric view of the solids.

4) A cylinder 80mm base diameter and 120mm high, is resting on its base on HP. It is surmounted centrally by a sphere of 50mm diameter. Draw the isometric view of the solids.

5) A rectangular slab of 50 x 35 x 15 mm is surmounted by a cube of 25mm side. On the top of the cube, rests a sphere of 20mm diameter. The axes of the solids are in the same straight line. Draw the isometric view of the solids.

6) A hemisphere of diameter 40mm is resting centrally by its curved surface on the top of a cube of side 50mm. Draw the isometric projection.

7) A sphere of 30mm diameter is placed co-axially on top of a cylindrical block of diameter 52mm and 20mm height. Draw the isometric projection of the combination.

8) The frustum of a square pyramid having side of base at the bottom 50mm and top 40mm and height 30mm has a hemisphere of 40mm diameter placed centrally on top with the flat faces in contacts. Draw an isometric view of the solids.

9) An equilateral triangular prism, with edges of base 40mm and axis 60mm long, is lies on one of its base edge on HP and the rectangular face containing that edge is inclined at 60˚ to HP. Draw the isometric view of the solid.

10) Draw the isometric projection of a hexagonal prism with a hemispherical top touching all sides. The sides of the hexagonal prism are each 6cm and height 60cm.

11) Draw the isometric projection of a regular pentagonal pyramid side of base 25mm and height 80mm when lying on one of its triangular faces on the ground and its base at right angles to the VP. The axis of the solid is parallel to VP.

12) A sphere of radius 20mm is kept on the top of a square prism of side of base 40mm and height 20mm. The later is placed on the top face of a cylinder of 65mm diameter and 25mm height. All the three solids have the same axis. Draw the isometric projection of the combination of solids.

13) Draw the isometric projection of a cylindrical slab of diameter 100mm and thickness 25mm having a coaxial hole of hexagonal shape of side 35mm when it lies on the ground with its axis vertical.

14) The frustum of a square pyramid having side of base at bottom 50mm and top 40mm and height 30mm has a hemisphere of 40mm diameter placed centrally on the top with the flat faces in contacts. Draw an isometric view of the solids.

15) A sphere of 60mm diameter is placed centrally on top of frustum of square pyramid. The base of the frustum is 60mm2 square, top 40mm2 and its height 50mm. Draw the isometric projection of the arrangement.

16) A waste paper bucket is in the form of a frustum of hexagonal pyramid with base 80mm hexagon and top 120mm hexagon. Draw the isometric projection if its height is 200mm.