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21 September, 12:15

The ratio of the corresponding linear measures of to some little jewelry boxes is 2 to 3 the larger Box has a volume of 162 in³ what is the volume of the sot smaller jewelry Box

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  1. 21 September, 16:07
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    48 in³

    Step-by-step explanation:

    The ratio of the linear measures is 2/3.

    The ratio of the volumes is the cube of the ratio of the linear measures, so the ratio of the volumes is 2^3/3^3 = 8/27.

    The volume of the larger box is 162 in³.

    Let the volume of the smaller box be x.

    x/162 = 8/27

    27x = 8 * 162

    x = 48
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