Question

A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 54545454 feet2^22start superscript, 2, end superscript of material to build the cube.
What is the volume inside the giant sugar cube?

Answer 1

The volume inside is 27 cu. ft.

The surface area of a cube is the area of each face of the cube added together.  There are 6 faces on a cube; 54/6 = 9 sq. ft. for each face of the cube.

Each face of a cube is a square, whose area is given by A=s²:
9 = s²

Take the square root of both sides:
√9 = √s²
3 = s

Each side of the square, or edge of the cube, is 3 ft.

This makes the volume 3(3)(3) = 27 cu. ft.