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15 February, 21:10

If the base of a rectangular prism has an area of 2x^2+3x sq in. The volume of the perimeter is 6x^3+13x^2+6x cubic in. Which expression represents the height of the prism in inches?

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  1. 15 February, 22:13
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    The answer to your question is 3x + 2

    Step-by-step explanation:

    Data

    Area of the base = 2x² + 3x in²

    Volume of the prism = 6x³ + 13x² + 6x in³

    Height = ?

    Process

    1. - Divide the Volume of the prism by the area of the base to get the height

    3x + 2

    2x² + 3x 6x³ + 13x² + 6x

    -6x³ - 9x²

    0 + 4x² + 6x

    - 2x² - 6x

    0 0

    2. - Conclusion

    The height of the rectangular prism is 3x + 2
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