Question

A cube has an edge length of 4 inches. You halve each side length. How many times smaller is the volume of the new cube?

Answer 1

8 times smaller

Explanation:

Cube with s = 4 in:

Volume = 4³ = 64in³

Cube with ½(4) = 2 in

Volume = 2³ = 8 in³

8/64 = 1/8

Answer 2

8 times smaller

Explanation:

The original volume is: V = x^3 , where x is the edge length. So: V = 4^3 = 64 inches cubed.

If we halve each side length, 4 becomes 2, so our new volume is: V = 2^3 = 8 inches cubed.

To find how many times smaller, we take the original volume and divide by the new volume: 64/8 = 8

Thus, the new cube is 8 times smaller.

Hope this helps!