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The length of a cube is three times

The length of a cube is three times its width and half of its height. If the volume of the Cube is 13,122 Cm cubed. What is the height of the cube?

(A)49.
(B)50.
(C)54.
(D)68.
(E)81.

The best answer is C.
Normalize each dimension to the width of the cube (W).
The length is 3 times the width, therefore its 3W, which is half of the height (6W).
The volume of the cube is 13,122 = 6W x 3W x W = 18W3 W3 = 729 W = 9.
The height of the cube is six times the width, therefore its 54 meters.

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