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22 November, 23:54

volume of the trapezoidal prism below. A trapezoidal prism is shown. The bases of the trapezoid have lengths of x + 2 and x + 4. The height of the trapezoid is x. The height of the prism is 2 x. If x = 12 cm, what is the volume of the prism? cm3

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  1. 23 November, 00:21
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    4320cm³

    Step-by-step explanation:

    The volume of a trapezoidal prism is L*H * (b1+b2) / 2

    Where L is the height of the trapezoid

    H is the height of the prism

    B1 and B2 are the length and wistho of the base of trapezoid.

    Here H = 2X

    L = X

    B1 and B2 are X+1 and X+2 respectively

    Remember that X = 12

    Putting all this into place we have:

    12*24 (14+16) / 2 = 4320cm³
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