The development of surface is the extension topic of Projection of solids. The development of surface is the shape of a plain sheet that by proper folding could be converted into the
desired object.
DEVELOPMENT OF PRISMS
Problem: A square prism of base side 30 mm and axis 60 mm is resting on its base on the H.P. with a rectangular face parallel to the V.P. Draw the development of the prism.
Problem: A pentagonal prism of base side 30 mm and axis 70 mm is resting on its base on the
H.P. with a rectangular face parallel to the V.P. It is cut by an auxiliary inclined plane (A.I.P.) whose V.T.
is inclined at 45° to the reference line and passes through the mid-point of the axis. Draw the development
of the lateral surface of the truncated prism.
Problem: A hexagonal prism of base side 30 mm and axis 70 mm is resting on its base on the
ground with a side of base inclined at 45° to the V.P. It is cut by an auxiliary inclined plane inclined at
45° to the H.P. and passes through a point 15 mm below the top end of the axis. Draw the development
of the lateral surface of the truncated prism.
DEVELOPMENT OF CONES
Problem: A cone of base diameter 50 mm and axis 60 mm is resting on its base on the H.P.
Draw the development of its lateral surface.
Problem: A cone of base diameter 50 mm and axis 60 mm is resting on its base on the H.P. A section
plane perpendicular to V.P. and inclined at 45° to H.P., bisects the axis of the cone. Draw the development of its lateral surface.
DEVELOPMENT OF PYRAMIDS
Problem: Draw the development of the lateral surface of a square pyramid of base side 40 mm and axis 60 mm, resting on its base on the H.P. such that (a) all the sides of the base are equally inclined to the V.P., and (b) a side of the base is parallel to the V.P.
Problem: A square pyramid of base side 40 mm and axis 60 mm is resting on its base on the H.P. such that all the sides of the base are equally inclined to the V.P. It is cut by a section plane perpendicular to the V.P. and inclined at 60° to the H.P., bisecting the axis. Draw the development of its lateral surface.
