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A cube with a volume of 64 cubic meters is Scaled by a factor of 5. What is the volume of The modified cube in cubic meters? (Note: Do not the include units in your answer)

A cube with a volume of 64 cubic meters is Scaled by a factor of 5. What is the volume-example-1

1 Answer

5 votes

Answer:


8000

Explanation:


V = Volume of the cube =
64\ \text{m}^3


k = Scale factor =
5

Volume increases by the cube of the scale factor, So

Volume of new cube will be


V'=k^3V


\Rightarrow V'=5^3* 64


\Rightarrow V'=125* 64


\Rightarrow V'=8000\ \text{m}^3

Volume of the new cube is
8000.

User Bajlo
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