Question

A box was made in the form of a cube. If a second cubical box has inside dimensions four times those of the first box, how many times as much does it contain?

(A) 4
(B) 8
(C) 16
(D) 64
(E) none of these

Answer 1

Since the second box has inside dimensions four times those of the first box, its volume is $(4a)^3 = 64a^3$ times as much as the volume of the first box, whose volume is $a^3$. Therefore, the answer is (D) 64.

Answer 2

64 when you have a box there are already for sides and the. It’s a cube so then 8 then you have 4 more dimensions
and you times 8 x 4, 4 times and you get 64