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30 December, 02:08

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?

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  1. 30 December, 02:15
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    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.
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