Bunuel wrote:

A rectangular box with a square base contains 6 cubic feet. If the height of the box is 18 inches, how many feet are there in each side of the base?

(A) 1

(B) 2

(C) \(\sqrt{3}\)

(D) \(\frac{\sqrt{3}}{3}\)

(E) 4

Here, we need to know that

1 feet = 12 inchesSince the rectangular box has a square base, assume length = breadth = x

We know that the height of this box is 18 inches or \(\frac{3}{2}\)ft and the volume of the box is \(6\)

\(\frac{3x^2}{2} = 6\) -> \(x^2 = \frac{2*6}{3} = 4\) -> x = \(\sqrt{4} = 2\)

Therefore, the rectangular box is

2 feet(Option B) at each side of the base

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