Question

There are two cubes, one smaller than the other. The two cubes combined has a volume of 118.125in. Find the side length of each cube if the smaller cube is 2/3 the length of the larger cube.

Answer 1

Explanation:

let the big cube side be b

small cube side be s

s = 2/3 * b

bv + sv = 118.125

b^3 + 8/9 b^3= 118.125

17 b^3/8 = 118.125

b^3 = 55.58

b = 3.816in

s = 2.544in