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Projection of Solids - Classwork Problems


1.  A square prism 35 mm sides of base and 60 mm axis length rests on HP on one of its corners of the base such that the two base edges containing the corner on which it rests make equal inclinations with HP. Draw the projections of the prism when the axis is inclined to HP at 400 and appears to be inclined to VP at 450.

2.  A square pyramid 35 mm sides of base and 65 mm axis length rests on HP on one of its edges of the base which is inclined to VP at 300. Draw the projections of the pyramid when the axis is inclined to HP at 450.

3.  A pentagonal prism 25 mm sides of base and 50 mm axis length rests on HP on one of its corners of the base such that the two base edges containing the corner on which it rests make equal inclinations with HP. Draw the projections of the prism when the axis is inclined to HP at 400 and VP at 300.

4.   A pentagonal pyramid 25 mm sides of base and 50 mm axis length rests on HP on one of its slant triangular faces. Draw the projections of the pyramid when the axis is inclined to VP at 450.

5.  A hexagonal prism 25 mm sides of base and 50 mm axis length rests on HP on one of its edges. Draw the projections of the prism when the axis is inclined to HP at 450 and appears to be inclined to VP at 400.

6.  A hexagonal pyramid 25 mm sides of base and 50 mm axis length rests on HP on one of its corners of the base such that the two base edges containing the corner on which it rests make equal inclinations with HP. Draw the projections of the pyramid when the axis of the pyramid is inclined to HP at 400 and VP at 300.

7.  A cone of base diameter 40 mm and axis length 50 mm is resting on HP on a point on the circumference of its base such that its apex is 40 mm above HP and its top view of the axis is inclined at 600 to VP. Draw the top and front views of the solid. Also, determine the inclinations of the axis when the base is nearer to the observer.

8.  A tetrahedron of 55 mm sides rests on one of its corners such that an edge containing that corner is inclined to HP at 500 and VP at 300. Draw its projections.

9.  A cube of 40 mm sides rests on HP on an edge which is inclined to VP at 300. Draw the projections when the lateral square face containing the edge on which it rests makes an angle of 500 to HP.

10.  A hexagonal prism 25 mm sides of base and 50 mm axis length is suspended freely from a corner of its base. Draw the projections of the prism when the axis appears to be inclined to VP at 450.

11.  A pentagonal pyramid 25 mm sides of base and 50 mm axis length is suspended freely from a corner of its base. Draw the projections of the pyramid when the axis appears to be inclined to VP at 450.


12.  A pentagonal prism of base side 25 mm and height 50 mm is resting on HP on one of its base corners such that the top most edge is at a distance of 60 mm above HP. Draw its projections, when its top view of the axis is inclined at 45° to VP. Also, determine the inclination of the longer edge of the prism to HP which contains the resting corner.

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