Answer:
[tex]h=\frac{SA-2B}{P}[/tex]
Step-by-step explanation:
we know that
The formula to calculate the surface area of a prism is equal to
[tex]SA=Ph+2B[/tex]
where
P is the perimeter of the base
h is the height of the prism
B is the area of the base
solve the formula for h
That means ----> isolate the variable h
Subtract 2B both sides
[tex]SA-2B=Ph+2B-2B[/tex]
[tex]SA-2B=Ph[/tex]
Divide by P both sides
[tex]\frac{SA-2B}{P}=h[/tex]
Rewrite
[tex]h=\frac{SA-2B}{P}[/tex]
