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algebra

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In a rectangular prism, the length and width are multiplied by 4. What is the relationship of the volume of the resulting rectangular prism compared to the original volume of the rectangular prism?

Is the new volume 8 times geater than original?

  • algebra -

    recall that the volume of a rectangular prism is given by
    V = L*W*H
    where
    L = lenght
    W = width
    H = height.
    if 4 is multiplied to both length and width, the new volume, V', is
    V' = (4L)*(4W)*(H)
    V' = 16*(L*W*H) or
    V' = 16*V

    thus the new volume is 16 times greater.

    hope this helps~ :)

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