Question

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)

Answer 1

`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`.