A company that sells prefabricated homes ships the frames for each home in large shipping containers. Each shipping container is in the shap

Question

A company that sells prefabricated homes ships the frames for each home in large shipping containers. Each shipping container is in the shape of a rectangular prism and its volume can be represented by the polynomial expression 5x^3 + 7.5x^2, where x is the width of the shipping container. If the length of the shipping container is five times the width, write the expression that represents the height of the shipping container in terms of its width, x.

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    2021-10-11T07:20:54+00:00

    volume ————— > 5x^3 + 7.5x^2
    volume=w*h*l
    l=5w

    we have that
    w=x
    l=5x
    therefore
    V=w*h*l————– > h=V/(w*l)=V/(x*5x)=V/(5x²)
    h=(5x^3 + 7.5x^2)/(5x²)=x+1.5
    h=x+1.5

    the answer is h=(x+1.5)

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