Question

You increase the lengths of the sides of a cube by the factor 2. What is the ratio of the new cube to the original.

a. 8:1
b. 4:1
c. 1:2
d. 2:1

Answer 1

Answer a (8:1)

Explanation:

Surface area or volume?

I will assume it's volume.

The volume formula is V = s^3, where s is the length of one side of the cube. If we double s, we get V2 = (2s)^3, or 8s^3, which is 8 times greater than thevolume of the cube with side length s.

The ratio is then 8s^3/s^3 or 8/1 or 8:1.