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The sides of the larger prism are 4 times as long as the sides of the smaller prism. The volume of the larger prism is how many times larger than the volume of the smaller prism?


7th Grade Mathematics

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The volume of the larger prism is 64 times the volume of the smaller prism.

Let L be the sides of the smaller prism and L' be the sides of the larger prism. Since the sides of the larger prism are 4 times the sides of the smaller prism, we have that L'/L = 4.

Let V be the volume of the smaller prism and V' be the volume of the larger prism.

We know that V'/V = (L'/L)³

= 4³

= 64

So, the volume of the larger prism is 64 times the volume of the smaller prism.

Learn more about volume of a prism here:

https://brainly.com/question/16065525

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