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?

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

Step-by-step 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.