Glencoe Math: Course 3, Volume 2
GM
Glencoe Math: Course 3, Volume 2 View details
6. Changes in Dimensions
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Exercise 24 Page 648

If Solid is similar to Solid by a scale factor, then the surface area of is equal to the surface area of times the square of the scale factor.

C

Practice makes perfect

We are given two similar solids.

The pyramids
We want to find the ratio of the surface area of the larger pyramid to the smaller pyramid. Let's start by calculating the ratio of their corresponding edge lengths.
We got that the dimensions of the larger pyramid is larger by a scale factor of than the dimensions of the smaller pyramid. Next, let's recall the relationship between the surface areas of similar solids.

Surface Area of Similar Solids

If Solid is similar to Solid by a scale factor, then the surface area of is equal to the surface area of times the square of the scale factor.

Therefore, to get the we need to multiply the by raised to the
We can rewrite this equation to get the ratio of the to the
Simplify right-hand side
We got that the ratio of the to the is This means that the correct option is C.