A Pentagonal prism of base edge 30 mm and height 60mm resting on its base with one base edge parallel to vp
Answers
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
Answer:
A pentagonal prism is a three-dimensional geometric shape that has a pentagon as its base and five rectangular sides that extend upward to form the height of the prism.
Explanation:
When a pentagonal prism is resting on its base, with one base edge parallel to the visual plane (VP), it can be visualized as follows:
The base of the prism is a regular pentagon, with five sides of equal length (30mm in this case) and five equal angles.
The five rectangular sides of the prism extend upward from the base, each connecting to one of the five vertices of the pentagon. The height of the prism is 60mm.
The top of the prism is also a pentagon, similar to the base and parallel to it.
The pentagonal prism can be viewed from any angle, but when one base edge is parallel to the visual plane, we can see all the five rectangular faces, and one pentagonal base.
It's a three-dimensional shape with an interesting combination of geometric shapes, and it can be used in many areas such as architecture, engineering, and art.
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