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Chapter 12: Q20. (page 486)

A pyramid and a prism both have height 8.2 cm and congruent hexagonal bases with area 22.3 cm2. Give the ratio of their volumes.

Short Answer

Expert verified

The ratio of volumes of pyramid and prism is13:1 .

Step by step solution

01

Step 1. Given information.

Pyramid and prism height is 8.2 cm and congruent hexagonal bases with area 22.3 cm2.

02

Step 2. Determine the ratio.

to find the ration of the volumes, divide the volumes of pyramid and prism,

Thus, the ratio of volumes of pyramid and prism is .vpyvpr=13bhbhvpyvpr=13(22.3)(8.2)(22.3)(8.2)[substitute]vpyvpr=131[divideoutcommonfactor]

Thus, the ratio of volumes of pyramid and prism is13:1 .

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Most popular questions from this chapter

Facts about the base of a right prism and the height of the prism are given. Sketch each prism and find its lateral area, total area and volume.

Triangle with sides 9, 12, 15, h = 10.

Find the following for the regular triangular pyramid.

If AM = 9 and VA = 10, find h and l.

Find the height and the volume of a regular hexagonal pyramid with lateral edges 10 ft and base edges 6 ft.

Facts about the base of a right prism and the height of the prism are given. Sketch each prism and find its lateral area, total area and volume.

Isosceles trapezoid with bases 10 and 4 and legs 5, h = 20.

Find the following for the regular triangular pyramid.

a.If h = 4 and l = 5, find OM, OA and BC.

b.Find the lateral area and the volume.
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