Glencoe Math: Course 3, Volume 2
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Glencoe Math: Course 3, Volume 2 View details
6. Changes in Dimensions
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Exercise 12 Page 646

If Solid is similar to Solid by a scale factor, then the volume of is equal to the volume of times the cube of the scale factor.

A

Practice makes perfect

We are given two prisms that are similar. The volume of the first prism is cubic meters and the volume of the second prism is cubic meters. We want to find how many times the second prism is larger than the first prism. To do so, let's start by recalling the relationship between the volumes of similar solids.

Volume of Similar Solids

If Solid is similar to Solid by a scale factor, then the volume of is equal to the volume of times the cube of the scale factor.

In this case, the is equal to the times the raised to the ${{\color{#A800DD}{\text{power}}}.$
We got an equation that will help us to find the Note that the tells us how many times the second prism is larger than the first prism. Let's solve the equation for
Solve for
Therefore, the is equal to This means that the second prism is times larger than the first prism and A is the correct option.