A household aquarium tank in the shape of a rectangular prism has a base length of 242424 inches (\text{in})(in)(, start text, i, n, end tex

Question

A household aquarium tank in the shape of a rectangular prism has a base length of 242424 inches (\text{in})(in)(, start text, i, n, end text, )and a base width of 15\,\text{in}15in15, start text, i, n, end text. The height of the water is 12\,\text{in}12in12, start text, i, n, end text above the base. During cleaning, 900900900 cubic inches of water is removed. What is the absolute value of the change in the height of the water in inches

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Calantha 4 years 2021-08-25T05:08:44+00:00 1 Answers 9 views 0

Answers ( )

  1. Jezebel
    0
    2021-08-25T05:10:19+00:00
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    Answer:

    The absolute change in the height of the water is 9.5 inches

    Step-by-step explanation:

    Given

    l =24in — length

    w = 15in — width

    h =12in — height

    V_1 = 900in^3 — the volume removed

    Required

    The absolute change in the height of the water

    First, calculate the base area (b):

    b = l * w

    b =24in * 15in

    b =360in^2

    The height of the water that was removed is:

    H = \frac{V_1}{b} i.e. the volume of the water removed divided by the base area

    H = \frac{900in^3}{360in^2}

    H = \frac{900in}{360}

    H = 2.5in

    The absolute change in height is:

    \triangle H = |h - H|

    \triangle H = |12in - 2.5in|

    \triangle H = |9.5in|

    \triangle H = 9.5in

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