Question

Rachael is placing a protective cover on a glass case. The case is a cube and the perimeter of one face of the cube is 56 inches. How many square inches of the protective covering does she need for the case?

Answer 1

to cover this cube she needs at least 1,176 square inches of protective covering.

Explanation:

The surface area of a cube is given by the following formula:

surface area cube = 6*l²

While the perimeter of each face of the cube is:

perimeter face = 4*l

Where l is the length of each side of the cube. Applying the data from the problem we have:

56 = 4*l

l = 56/4= 14 inches

surface area cube = 6*(14)²

surface area cube = 6*(196)

surface area cube = 1,176 square inches.

Therefore to cover this cube she needs at least 1,176 square inches of protective covering.