Stephanie built a box to hold sports equipment. The box is in the shape of a rectangular prism. The volume is 20 1/4 ft3, and the area

Question

Stephanie built a box to hold sports equipment. The box is in the shape of a rectangular prism. The
volume is 20 1/4 ft3, and the area of the base is 6 3/4 ft2. What is the height of the box?

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Aubrey 2 weeks 2021-09-08T21:58:28+00:00 2 Answers 0

Answers ( )

    0
    2021-09-08T21:59:57+00:00

    height of the box will be 3 feet

    0
    2021-09-08T21:59:57+00:00

    Answer:

      3 ft

    Step-by-step explanation:

    The volume of the box is given by the formula …

      V = Bh

    where B is the base area and h is the height. Solving for h, we get …

      h = V/B

    Filling in the numbers gives us the height:

      h = (20 1/4 ft^3)/(6 3/4 ft^2) = (81/4)·(4/27) ft = 3 ft

    The height of the box is 3 feet.

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