Area of a Rectangular prism is 48ft2 and it’s width is x ft and it’s length is 3 ft more than the width. Find the height of the rectangular

Question

Area of a Rectangular prism is 48ft2 and it’s width is x ft and it’s length is 3 ft more than the width. Find the height of the rectangular prism.

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Arianna 2 weeks 2021-09-13T21:26:58+00:00 1 Answer 0

Answers ( )

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    2021-09-13T21:28:23+00:00

    Answer:

    h = (24 – 3x – x²)/(2x + 3)

    Step-by-step explanation:

    Surface area:

    2(x × (x + 3)) + 2(x)h + 2(x + 3)h

    2(x² + 3x) + 2xh + 2(x + 3)h = 48

    x² + 3x + xh + xh + 3h = 24

    h(2x + 3) = 24 – x² – 3x

    h = (24 – 3x – x²)/(2x + 3)

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