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A monument is a stone structure in the form of a frustum of a regular square pyramid whose height is 50m and whose base
edges are 4.5m and 10m respectively. Through the center of the monument is a circular opening 3m in diameter at the top and
6m in diameter at the bottom.
1. What is the slant height of the opening?
2. What is the lateral surface area of the opening?
3. Find the volume of stone in the monument.
The volume of a frustum of a right circular cone is 52π cm*. Its altitude is
3cm and the measure of its lower radius is three times the measure of its
upper radius.
1. What is the radius of the upper base?
2. What is the slant height of the frustum?
A right circular cone is inscribed in a cube having a diagonal which
measures 20√3 cm.
1. What is the altitude of the cone?
2. What is the volume of the cone?
3. What is the surface area of the cone?
In the following fiNine students are seated evenly around a circular table. They are
marked on the circumference of the circle as A, B, C, D, E, F, G, H, I.
If the center of the circle is situated at point O, what is m<OAD
2x−2, KL=x-9,KL=x−9, and JL=2x+8,JL=2x+8, determine the numerical length of \overline{KL}.
KL
.
an area was measured on a plan by a scale ruler 290mm × 334mm.compute the ground area in the squate meters if the scale are 1:2000
A concrete monument is a regular pentagonal pyramid with a base edge of

40 cm and one of its lateral edges measure 50 cm.


10. How much concrete is needed to build the monument?
A concrete monument is a regular pentagonal pyramid with a base edge of

40 cm and one of its lateral edges measure 50 cm.


8. What is the monument’s altitude?

9. If the lateral surface of the monument is to be covered with glass, how much glass is needed?
An inverted regular square pyramid has an altitude of 12m and with top

edge of 3m is fully–filled with water.


4. What is the volume of the water in m3?

A portion of water is to be removed so that water will be 7m deep.

5. What is the area at the surface of the water when it is 7m deep?
A regular square pyramid has an altitude of 15 m and a volume of 125 m3.


1. What is the base edge of a square pyramid?

2. What is the slant height of the pyramid?

3. What is the lateral area in m2?
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