Help!?!?These two rectangular prisms are similar. Find the volume of the larger rectangular prism

Question

anonymous · Answer

attachment

directrix · Answer

If two solids are similar, the cube of their scale factor is equal to the ratio of their volumes.

In this problem, 4/12 or 1/3 is the scale factor.

directrix · Answer

The cube of (1/3) = 24/V where V is the volume of the larger prism.

directrix · Answer

(1/3)^3 = 24/V

Solve the equation for V.

directrix · Answer

@not_so_smart   Question?

anonymous · Answer

I got 192cm3 but that's wrong. Whats the answer so I can work the steps backwards?  thanks

directrix · Answer

Is your question identical to this one? http://openstudy.com/study#/updates/523bf07ae4b00182897ed413

anonymous · Answer

yes

directrix · Answer

Hold on.

directrix · Answer

@not_so_smart   What equation did you use to get  192cm3 ?

directrix · Answer

(1/3)^3 = 24/V

1/27 = 24/V

Cross multiply:

V = 27 * 24

V = ?   @not_so_smart    Just multiply those two numbers.

anonymous · Answer

648?  I think i get it now. Thank u. It helped to do it backwards.

directrix · Answer

Yes, you are welcome.

anonymous · Answer

no you are!