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20 January, 08:30

A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 54545454 feet2^22start superscript, 2, end superscript of material to build the cube.

What is the volume inside the giant sugar cube?

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  1. 20 January, 10:47
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    The volume inside is 27 cu. ft.

    The surface area of a cube is the area of each face of the cube added together. There are 6 faces on a cube; 54/6 = 9 sq. ft. for each face of the cube.

    Each face of a cube is a square, whose area is given by A=s²:

    9 = s²

    Take the square root of both sides:

    √9 = √s²

    3 = s

    Each side of the square, or edge of the cube, is 3 ft.

    This makes the volume 3 (3) (3) = 27 cu. ft.
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