SpencerP wrote:A certain clay cube has volume 64 cubic inches. If a smaller clay cube is formed and has half the volume of the original cube, how many inches long is an edge of the smaller cube?
A) 2
B) 4
C) 8
D) ∛4
E) 2∛4
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Volume of smaller cube is HALF of original cube.
So, volume of smaller cube = (1/2)(64) =
32
Volume of cube = (length of one side)³
[aside: edge is the same as side]
So, (length of one side)³ =
32
This means length of one side = ∛
32
None of the answer choices matches this, so we must simplify ∛
32
∛
32 = ∛
(8 x 4)
= (∛8)(∛4)
= [spoiler]2∛4[/spoiler]
=
E
