Bunuel wrote:

In a windowless cube-shaped storage room, the ceiling and 4 walls, including a door, are completely painted. The floor is not painted. If the painted area is equal to 80 square meters, what is the volume of the room, in cubic meters?

(A) 16

(B) 20

(C) 64

(D) 256

(E) 400

The windowless cube-shaped room is painted excluding the floor.

Therefore, 5 of the 6 faces of the cube have been painted.

Each face of the cube has an area of \(side^2\), making total area of \(5*side^2\)

Because the painted area is 80 sq meters, \(5*side^2 = 80 => side =\sqrt{16} = 4\)

The volume of the cube, is \(side^3\) =

64(Option C)
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