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The length of a rectangular prism is 4 more than 3 times the width, w. The volume of the prism is 3w^3 + 16w^2 + 16w. What is a simplified expression for the height of the prism?

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  1. 11 July, 09:11
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    Height = w + 4

    Step-by-step explanation:

    3w³ + 16w² + 16w = w (3w² + 16w + 16)

    = w (3w + 4) (w + 4)

    The length of a rectangular prism is 4 more than 3 times the width, w

    L = 3w + 4

    R prism volume = L x W x H

    Height = w + 4
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