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22 December, 12:27

a storage container is a rectangular prism with a volume of 392 cubic inches. the height of the container is 3 inches less than its length and its width is twice the length. what are the dimensions of the container?

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  1. 22 December, 15:00
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    Step-by-step explanation:

    Let the length of the rectangular prism = x inches

    Width of the rectangular prism = 2 x length = 2x inches

    Height of the rectangular prism = 3 inches less than the length = (x - 3) inches

    Volume of the rectangular prism = length x width x height = 392 cubic inches

    = (2x) inches x (x) inches x (x - 3) inches = 392 cubic inches

    = x2 (x-3) = 196 cubic inch

    X = 8.59 inch

    Length of the rectangular prism = x inches = 7 inch

    Width of the rectangular prism = 2 x length = 2 x 7 inch = 14 inch

    Height of the rectangular prism = 3 inches less than the length = (x - 3) inches = 7 - 3 = 4 inch
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