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14 April, 14:12

A cube has side length a. The side lengths are decreased to 30% of their original size. Write an expression in simplest form for the volume of the cube in terms of a.

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  1. 14 April, 14:14
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    Volume V = 0.027a^3

    Step-by-step explanation:

    Let a represent the length of the side length of the cube.

    a. The side lengths are decreased to 30% of their original size;

    l = 30% of a

    l = 0.3a ... 1

    The volume of a cube can be expressed as;

    V = l * l * l

    V = l^3 ... 2

    Where;

    l = side length

    Substituting the value of l into equation 2;

    V = l^3 = (0.3a) ^3

    V = 0.027a^3

    Volume V = 0.027a^3
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