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Beamergirl101
Beamergirl101 asked in Science & MathematicsMathematics · 3 years ago

Math questions?

A machine produces open boxes using square sheets of metal. The machine cuts​ equal-sized squares measuring 22 inches on a side from the corners and then shapes the metal into an open box by turning up the sides. If each box must have a volume of 72 cubic​ inches, find the length and width of the open box?

2 Answers

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  • ?
    Lv 7
    3 years ago

    Let X represent the unknown dimension of the box.

    Then X^2 * 22 = 72, defines the volume.

    Solving for X; X^2 = 72/22

  • DWRead
    Lv 7
    3 years ago

    area of base = 72/22 = 36/11 in²

    length = width = √(36/11) = 6/√11 = 6√11/11 in

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