Question

The length of each side of a square wooden box, in inches, is represented by the expression 6a3. The volume of the box, in cubic inches, is (6a3)3.

Which simplified expression represents the volume of the box?

18a6

18a9

216a9

216a27

Answer 1

I'm assuming the length is \[6a ^{3}\] The volume of a cube is the length of a side cubed. So we simply substitute into the formula to get the answer.
\[V = s ^{3} = (6a ^{3})^{3} = 216a ^{9}\] The third choice is the answer.