Thread: finding volume with algebra

Please help me with this question.

PUZZLING PRISM:
The areas of three faces of a rectangular prism are 63 cm2, 56 cm2 and 72 cm2. What is the volume of the prism?

What I know:

Volume= LxWxH
Area = LxW

Ps. reply asap. thank you very much for your help and your time!

Originally Posted by puppy_wish

Please help me with this question.

PUZZLING PRISM:
The areas of three faces of a rectangular prism are 63 cm2, 56 cm2 and 72 cm2. What is the volume of the prism?

What I know:

Volume= LxWxH
Area = LxW

Ps. reply asap. thank you very much for your help and your time!

You know that,



Multiply them together,


Thus,

Hello, puppy_wish!

This can be solved with "normal" algebra
. . but there is a cute solution . . .

The areas of three faces of a rectangular prism are 63 cm², 56 cm² and 72 cm².
What is the volume of the prism?

Let the length, width, height be:

We are told that: .

Multiply the three equations: .

and we have: .

Therefore: .


I like this solution . . . I hope you do.
We answered the questi0on without finding and

Originally Posted by Soroban

Hello, puppy_wish!

This can be solved with "normal" algebra
. . but there is a cute solution . . .


Let the length, width, height be:

We are told that: .

Multiply the three equations: . 63)(56)(72)" alt="(LW)(WH)(LH) \:=\63)(56)(72)" />

and we have: .

Therefore: .


I like this solution . . . I hope you do.
We answered the questi0on without finding and

wow thank you both of you. I really appreciate it