1. ## 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?

2. 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.

3. Originally Posted by magentarita
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

$\displaystyle 24\textrm{ units}^3$

4. Originally Posted by Prove It
Note that the volume is actually

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

5. ## Thanks

Originally Posted by Prove It
Note that the volume is actually

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