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 is $\frac{1}{3} : 1$ .

Step by step solution

Step 1. Given information.

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

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 . $\begin{array}{l} \frac{v_{p y}}{v_{p r}} = \frac{\frac{1}{3} b h}{b h} \\ \frac{v_{p y}}{v_{p r}} = \frac{\frac{1}{3} (22.3) (8.2)}{(22.3) (8.2)} [substitute] \\ \frac{v_{p y}}{v_{p r}} = \frac{\frac{1}{3}}{1} [divideoutcommonfactor] \end{array}$

Thus, the ratio of volumes of pyramid and prism is $\frac{1}{3} : 1$ .

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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

Step by step solution

Step 1. Given information.

Step 2. Determine the ratio.

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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

Step by step solution

Step 1. Given information.

Step 2. Determine the ratio.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Statistics

Geometry

Decision Maths

Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

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.