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4 February, 07:51

The formula for the volume of a rectangular prism is V = lwh. The height is 12 cm. The prism has a volume of 10,800 cubic cm. The prism's length is modeled by 3x cm and its width by (2x+1) cm.

A. What is the value of X?

B. What are the dimensions of he length and the width?

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  1. 4 February, 07:57
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    A.

    V=LWH

    10,800 = (3x) (2x+1) (12) here I would divide out the 12, then distribute the 3x

    900 = 6x^2 + 3x

    6x^2 + 3x - 900 = 0 now use the quadratic formula to find x

    x = 12

    B. now plug in the x into each given dimension

    L = 3x = 3 (12) = 36

    W = (2x+1) = 2 (12) + 1 = 25
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