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

Answer:

$l=\frac{A-2wh}{2w+2h}$

Step-by-step 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

$\frac{A-2wh}{2w+2h}=l$

Therefore:

$l=\frac{A-2wh}{2w+2h}$