Question

If the length of an edge of cube A is one-third the length of an edge of cube B,what is the ratio of the volume of cube A to the volume of cube B?

• A. 8 to 27
• B. 1 to 27
• C. 1 to 8
• D. 1 to 3

Answer 1

Answer: (B)

1 to 27

1 to 27: There are no specified amounts in this question, so pick numbers. You can say that cube A has sides of length 1 and cube B has sides of length 3:

Volume of cube A $=1\times 1\times 1=1$

Volume of cube B $=3\times 3\times 3=27$

Therefore, the ratio of the volume of cube A to the volume of cube B is $\frac{1}{27}$, or 1:27.