UNIT IV PROJECTION OF SECTIONED SOLIDS AND
DEVELOPMENT OF SURFACES
1. A hexagonal pyramid of side of base 30mm and axis 70mm rests on its base
with two edges of the base parallel to VP . A circular hole of diameter 30mm
is completely drilled through the pyramid such that the axis of the hole is
perpendicular to VP and intersects with the axis of the pyramid at a distance
of 50mm from the apex. Develop the lateral surface of the pyramid with the
shape of the hole formed in it. ( AU /Jan 2009)
2. A pentagonal prism of base edge 35mm and axis 65mm lies on HP with its
base edge parallel to VP. It is cut by a plane perpendicular to HP and inclined
at 30 degree to VP passes through a point 8mm AWAY from the axis. Draw the
sectional elevation and true shape of the section. ( AU /May 2009)3. A lamp shape is formed by cutting a CONE of 70mm diameter and 90mm height
by a horizontal cutting plane at a distance of 36mm from the apex and another
cutting plane inclined at 30 degree to HP , passing through the lower left
corner of the base. Draw the development of the shade. ( AU /May 2009)4. A pentagonal pyramid of base side 30mm and axis length 60mm is resting on
HP on its base with a side of base parallel to VP. It is cut by a plane inclined at
45 degree to VP and perpendicular to HP and is 12mm away from the axis.
Draw its top view, sectional front view and true shape of the section. ( AU
/May 2010)
5. A right circular cone of diameter 60mm and height 70mm is cut by an inclined
plane passing through the axis at a point 15mm above the base and inclined at
45 degree to HP and perpendicular to VP. Draw the development of lateral
surface of the cone. ( AU /May 2010)the