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?

Answer 1

8,000

Explanation:

When the sides of the cube are scaled by a factor of k, the volume increases by a factor of k3. Here, the new volume is 64 cubic meters × 53 = 8,000 cubic meters.

Answer 2

Volume is in cubic units, meaning the volume ix raised to the 3rd power.

If the cube is scaled by 5, then the volume is scaled by 5^3.

5^3 = 5*5*5 = 125

The new volume would be the original volume multiplied by the total increase:

64 x 125 = 8,000 cubic meters.