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6 August, 06:28

A box with an open top has a square base and four sides of equal height. The volume of the box is 96 ft³. The height is 2 ft greater than both the length and the width. If the surface area is 112 ft² , what are the dimensions of the box?

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  1. 6 August, 07:22
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    Dimension of box = 4 ft x 4 ft x 6 ft

    Step-by-step explanation:

    Let a be the base side of square, and h be the height.

    The height is 2 ft greater than both the length and the width.

    h = a + 2

    The volume of the box is 96 ft³.

    Volume = Base area x Height = a² x h = a² x (a+2)

    a² x (a+2) = 96

    We will get a = 4 ft

    Dimension of box = 4 x 4 x (4+2) = 4 ft x 4 ft x 6 ft
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