Question

a cube with a volume of 64 cubic meters is scaled by a factor of 5, what is the volume of this 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

8000 m^3.

Explanation:

Volume of cube: 64 m^3

Let's say x is the sides of cube.

Volume: x^3= 64

Length is scaled up by a factor of 5.

Side of the cube will be 5x.

New volume would be: (5x)^3 = 125 x 64 = 8000 m^3

Hope this helps & good luck.