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16 July, 09:43

A cross section of the prism shown is parallel to a base. The area of the cross section is 78.5 square feet. The ratio of AB to BC is 5:4. The length of AB is 10 feet. Find the volume of the prism.

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  1. 16 July, 12:19
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    Given:

    Area of cross section = 78.5 ft²

    Ratio of AB to BC = 5 : 4

    AB=10 ft

    To find BC, we get

    5/4=10/BC

    5BC=40

    BC=8 ft

    Now formula for volume of prism:

    V=Area of base x height

    Put values

    V=78.5 x (10+8)

    V=78.5 x 18

    V=1413 ft²

    Answer: 1413 ft²
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