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28 August, 04:36

The volume of a box containing 15 identical cubes is 295245cu. m. Find the edge of the cube.

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  1. 28 August, 05:00
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    Edge length of the cube = 27 m

    Dimensions of the box is length = 135 m, width = 81 m, height = 27 m

    Step-by-step explanation:

    The box contains 15 identical cubes therefore, we have

    Edge length of cube = Side, s, of cube

    15 * s³ = 295245 m³

    ∴ s³ = 295245/15 = 19683 m³

    s = ∛19683 = 27 m

    Hence the edge length of the cube = 27 m

    The dimension of the box is length = 5 * 27 = 135 m

    Width = 3 * 27 = 81 m

    height = 27 m.
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