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13 July, 05:53

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

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  1. 13 July, 06:17
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    4 in.

    Step-by-step explanation:

    The volume of the box is (8 in) (2 in) (4 in) = 64 in^3.

    The formula for the volume of a cube is V = s^3, where s is the length of one side of the cube.

    Setting V = s^3 = 64 in^3, we get s = 4 in.

    The length of one side of the cube is 4 in.
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