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

8,000 m^3

Explanation:

The computation of the volume of the modified cube in cubic meters is shown below:

Given that

Volume = 64 m^3

So each side would be

= ∛64

= 4

Now each side is scaled by 5 so each side would be

= 4 × 5m

= 20m

Now the volume of the modified cube is

= 20^3

= 8,000 m^3