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27 March, 12:52

A gift box is in the shape of a trapezoidal prism with base lengths of 7 inches and 5 inches and a height of 4 inches. The height of the gift box is 8 inches. What is the volume of the gift box?

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  1. 27 March, 13:10
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    First of all there are multiple formula's to get the volume of a trapezoidal prism:

    V = (1/2 * (base1 + base2) * h) * height prism

    Using the numbers you gave:

    base1 = 7 base2 = 5 h = 4 height prism = 8

    Putting this into the equation: V = (1/2 * (7 + 5) * 4) * 8

    V = (1/2 * 12 * 4) * 8

    V = 24 * 8

    V = 192

    The volume of the gift box is 191 inches squared.
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