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Math Help - Rectangular Box

  1. #1
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    Rectangular Box

    The dimensions of a rectangular box are sqrt{2}, sqrt{3} and 4(sqrt{6}). Find volume in simplest radical form.

    I found the volume to be 24 but is 24 in simplest radical form?
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  2. #2
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    Yes it is, because:

    = sqrt{2} * sqrt{3} * 4(sqrt{6})
    = 4(sqrt{36})

    Then the simpler form is 4(6), because you're reducing just like you would a fraction, such as the simplest form of 81/3 being 27, or 3^3. So, 24 would be the simplest form.
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  3. #3
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    Quote Originally Posted by magentarita View Post
    The dimensions of a rectangular box are sqrt{2}, sqrt{3} and 4(sqrt{6}). Find volume in simplest radical form.

    I found the volume to be 24 but is 24 in simplest radical form?
    Note that the volume is actually

    24\textrm{ units}^3
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    Quote Originally Posted by Prove It View Post
    Note that the volume is actually

    24\textrm{ units}^3
    Sorry. Just thought it was assumed. And thanks for showing me how to use "textrm" to format my writing!
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    Thanks

    Quote Originally Posted by Prove It View Post
    Note that the volume is actually

    24\textrm{ units}^3
    Yes, I forgot that volume in measured in cubic units.
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