Answer:
[tex]l=\frac{A-2wh}{2w+2h}[/tex]
Step-by-step explanation:
We were given that; the formula for the surface area, A, of a prism is given by
[tex]A=2lw +2lh +2wh[/tex]
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;
[tex]A-2wh=2lw +2lh [/tex]
Factor l on the right;
[tex]A-2wh=(2w +2h)l [/tex]
Divide both sides by 2w +2h
[tex]\frac{A-2wh}{2w+2h}=l[/tex]
Therefore:
[tex]l=\frac{A-2wh}{2w+2h}[/tex]
