If I want to put a protective cover on a glass cube with the perimeter of one face @ 56 inches. How many square inches will I need?

Answer 1

Hi,

A cube has 6 faces.

A cube has 12 edges of length s (for "side' length).

The volume of a cube is V = s*s*s = s³ [well, it is called a 'cube']

The surface area of a cube is S = 6s² [which is 6 times the area of one face]

For a cube with "perimeter of one face @ 56 inches," the side length is perimeter/4 = 56/4

s = 14 inches

The total surface area to be covered is 6*s² = 6*(14)² = 1176 in²