A cube has a volume of 216 cubic inches, and another cube has a volume of 729 cubic inches. What is the ratio of the surface area of the larger cube to the surface area of the smaller cube?

Ratio is

You can simplify it of course to 3/2

Step-by-step explanation:

Volume of a cube is V = length^3 or l^3

Volume for larger cube = 729 cubic inches

Volume for smaller cube = 216 cubic inches

Surface area is S = 6*l^2

So we just need to find the length of each side of the cube.

We take the cube root for each cube volume since there are three sides.

Larger cube = 729^(1/3) = 9

smaller cube = 216^(1/3) = 6

Ratio is