## KierseyClemons 2 years ago Help!?!?These two rectangular prisms are similar. Find the volume of the larger rectangular prism

1. KierseyClemons

2. Directrix

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.

3. Directrix

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

4. Directrix

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

5. Directrix

@not_so_smart Question?

6. not_so_smart

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

7. Directrix

8. not_so_smart

yes

9. Directrix

Hold on.

10. Directrix

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

11. Directrix

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

12. not_so_smart

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

13. Directrix

Yes, you are welcome.

14. not_so_smart

no you are!