anonymous
  • anonymous
Help!?!?These two rectangular prisms are similar. Find the volume of the larger rectangular prism
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
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Directrix
  • 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.
Directrix
  • Directrix
The cube of (1/3) = 24/V where V is the volume of the larger prism.

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Directrix
  • Directrix
(1/3)^3 = 24/V Solve the equation for V.
Directrix
  • Directrix
@not_so_smart Question?
anonymous
  • anonymous
I got 192cm3 but that's wrong. Whats the answer so I can work the steps backwards? thanks
Directrix
  • Directrix
Is your question identical to this one? http://openstudy.com/study#/updates/523bf07ae4b00182897ed413
anonymous
  • anonymous
yes
Directrix
  • Directrix
Hold on.
Directrix
  • Directrix
@not_so_smart What equation did you use to get 192cm3 ?
Directrix
  • Directrix
(1/3)^3 = 24/V 1/27 = 24/V Cross multiply: V = 27 * 24 V = ? @not_so_smart Just multiply those two numbers.
anonymous
  • anonymous
648? I think i get it now. Thank u. It helped to do it backwards.
Directrix
  • Directrix
Yes, you are welcome.
anonymous
  • anonymous
no you are!

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