Question

The formula for the surface area, a, of a prism is given by A=2lw +2lh +2wh where is the length of the prism, w is the width, and h is the height. Which formula is the result of solving for the formula l

Answer 1

What he said.

Explanation:

Answer 2

`l=(A-2wh)/(2w+2h)`

Explanation:

We were given that; the formula for the surface area, A, of a prism is given by

`A=2lw +2lh +2wh`

where is the length of the prism, w is the width, and h is the height.

We want to solve this formula for l,

Group the l terms;

`A-2wh=2lw +2lh`

Factor l on the right;

`A-2wh=(2w +2h)l`

Divide both sides by 2w +2h

`(A-2wh)/(2w+2h)=l`

Therefore:

`l=(A-2wh)/(2w+2h)`