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6 March, 18:47

The dimensions in inches of a shipping box at We Ship 4 You can be expressed as width x, length x + 5, and height 3x - 1. The volume is about 7.6 ft3. Find the dimensions of the box in inches. Round to the nearest inch.

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  1. 6 March, 21:57
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    If you would like to find the dimensions of the box in inches, you can calculate this using the following steps:

    width ... x inches

    length ... (x + 5) inches

    height ... (3 * x - 1) inches

    volume ... 7.6 ft³

    1 foot = 12 inches

    7.6 ft³ = 13132.80 in³

    volume = width * length * height

    13133 = x * (x + 5) * (3 * x - 1)

    13133 = (x^2 + 5 * x) * (3 * x - 1)

    13133 = 3 * x^3 - x^2 + 15 * x^2 - 5 * x

    13133 = 3 * x^3 + 14 * x^2 - 5 * x

    0 = 3 * x^3 + 14 * x^2 - 5 * x - 13133

    1. x ≈ 14.972 ≈ 15

    2. x ≈ - 9.820 + 13.998 * i

    3. x ≈ - 9.820 - 13.998 * i

    width ... x inches = 15 inches

    length ... (x + 5) inches = 15 + 5 = 20 inches

    height ... (3 * x - 1) inches = 3 * 15 - 1 = 45 - 1 = 44 inches

    The dimensions of the box are 15 inches, 20 inches and 44 inches.
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