Thread: Solving for volume of rectangular prism

If a rectangular prism has faces with areas of 8, 10, and 20 units squared, then what is its volume? The answer is 40. How do I know which side length (length, width, and heighth) corresponds to which given area? Thanks.

Hello, benny92000!

If a rectangular prism has faces with areas of 8, 10, and 20 units squared,
then what is its volume? .The answer is 40.

How do I know which sides (length, width, height) correspond to which given area?

We don't need that information . . .

Code:

         *-----------*
        /           /|
       /           / | H
      *-----------*  |
      |           |  *
      |           | /
      |           |/ W
      *-----------*
            L

We have: .

Multiply the equations: .

Hence: .


Therefore the volume is: .

Ok cool. So did you assign LW=8; WH=10; LH=20 arbitarily?

Originally Posted by benny92000

Ok cool.
So did you assign LW=8; WH=10; LH=20 arbitarily?

Yes, I did.

Can you see that their assignments made no difference?