Question

Please help me with this! If you’re smart you can solve it!

Answer 1

Let L, H, W be the length, height, and width.

Using the 3 clues they gave us, we have:

L x W = 12

L x H = 8

W x H = 6

Our goal is to figure out volume: L x W x H

One way of solving this is to just randomly plug in numbers which should be easy to do for this problem.

Another way is to use substitution.

From first equation: L = 12/W

Plug that into second equation:

12/W x H = 8,

H = (8/12)W = (2/3)W

Plug that into the third equation:

W x (2/3)W = 6,

W x W = 9

W must be equal to 3.

And since we know that L x H = 8

Then L x H x W = (8) x 3 = 24 cm^3