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)

Question

asked Mar 11, 2022 14.7k views

1 Answer

Bajlo · Answer 1 · 2022-03-18T15:32:37+0000

Answer:

8000

Explanation:

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

= Scale factor =

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 .