Question

A cube with of 64 cubic meters is scaled by a factor of 5. What is the volume of the modified cube in cubic meters

Answer 1

Volume of cube = 64 m^3
Let the sides of cube = x
So volume = x^3 = 64

It's length is scaled up by a factor of 5.
Each side of the cube will become = 5x

New volume = (5x)^3 = 125 x^3 = 125×64 = 8000 m^3

New volume is 8000 m^3.


Note: you don't need to find out the length of the cube.

Answer 2

Answer:

Step-by-step explanation:

When the sides of the cube are scaled by a factor of k = 5, the volume increases by a factor of k3 = 53 = 125. Here, the new volume is 64 cubic meters × 125 = 8,000 cubic meters.