Question

Cube A has a volume of 9 in3. Cube B has a volume of 5 in3. Which of the following expresses the ratio of the side length of Cube A to the side length of Cube B? (A) 3 : 5 1 3 1 3 (B) 5 1 3 1 3 : 3 1 3 1 3 (C) 3 1 3 1 3 : 5 2 3 2 3 (D) 3 1 3 1 3 : 5 1 3 1 3 (E) 3 2 3 2 3 : 5 1 3

Answer 1

A side of cube A measures 9^(1/3) inches.

A side of cube B measures 5^(1/3) inches.

The correct ratio is

`\sqrt[3]{ (9)/(5) } = \frac{ \sqrt[3]{9} }{ \sqrt[3]{5} } = \frac{ \sqrt[3]{225} }{125}`