n aquarium holding African cichlids is 6 inches higher than it is wide. Its length is 33 inches, and its volume is 9240 cubic inches. What i

Question

n aquarium holding African cichlids is 6 inches higher than it is wide. Its length is 33 inches, and its volume is 9240 cubic inches. What is the length and width?

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Ella 2 weeks 2021-09-12T20:00:57+00:00 1 Answer 0

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    2021-09-12T20:02:26+00:00

    Answer: Height = 20 inches

    Width = 14 inches

    Step-by-step explanation:

    The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as

    Volume = LWH

    Where L,W and H represents the length, width and height of the box.

    The aquarium holding African cichlids is 6 inches higher than it is wide. It means that

    H = W + 6

    Its length is 33 inches, and its volume is 9240 cubic inches. It means that

    9240 = 33W(W + 6)

    9240/33 = W(W + 6)

    280 = W² + 6W

    W² + 6W + (6/2)² = 280 + (6/2)²

    (W + 3)² = 280 + 9 = 289

    Taking square root of both sides, it becomes

    W + 3 = √289 = 17

    W = 17 – 3

    W = 14

    H = W + 6 = 14 + 6

    H = 20

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