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30 May, 11:59

A solid rectangular metal box of 8 inches long, 2 inches wide and 4 inches deep is melted down. All the liquid metal is used to case a cube. What is the length of one side of the cube?

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  1. 30 May, 13:48
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    Find the volume of the rectangle:

    8 x 2 x 4 = 64 cubic inches.

    This means the square can have a volume of 64 cubic inches.

    The formula for the volume of a square is V = S^# where S is the length of the side.

    Replace V with 64 to solve for S:

    64 = S^3

    To find S, take the cubic root of 64:

    S = ∛64

    S = 4

    The length of a side is 4 inches.
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