Thread: 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?

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.

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

Originally Posted by Prove It

Note that the volume is actually

Sorry. Just thought it was assumed. And thanks for showing me how to use "textrm" to format my writing!

Originally Posted by Prove It

Note that the volume is actually

Yes, I forgot that volume in measured in cubic units.