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

Answer:

$8000$

Step-by-step 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

$V'=k^3V$

$\Rightarrow V'=5^3\times 64$

$\Rightarrow V'=125\times 64$

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

Volume of the new cube is $8000$.