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14 November, 06:14

The sides of one cube are twice as long as the sides of s second cube. What is the side length of each cube if the total volume of the cubes is 72 cm^3

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  1. 14 November, 06:35
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    Let the side of the second cube be x, then the side of the second cube is 2x.

    Volume of a cube = s^3

    x^3 + (2x) ^3 = 72

    x^3 + 8x^3 = 72

    9x^3 = 72

    x^3 = 72/9 = 8

    x = cube root (8) = 2

    Therefore, the side length of the first cube is 2x = 2 (2) = 4cm

    while the second cube is 2 cm long.
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