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.
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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!
Quote:
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 . . .
We have: .Code:*-----------*
/ /|
/ / | H
*-----------* |
| | *
| | /
| |/ W
*-----------*
L
Multiply the equations: .
Hence: .
Therefore the volume is: .
Ok cool. So did you assign LW=8; WH=10; LH=20 arbitarily?
Quote:
Originally Posted by benny92000
Yes, I did.
Can you see that their assignments made no difference?