Answer :
Answer:
[tex]P=2(S-lw)/h[/tex]
Step-by-step explanation:
we have that
The formula for the surface area of the enclosed space is
[tex]S=lw+0.5Ph[/tex]
Solve for P
That means ------> isolate the variable P
Subtract lw both sides
[tex]S-lw=lw+0.5Ph-lw[/tex]
[tex]S-lw=0.5Ph[/tex]
Multiply by 2 both sides
[tex]2(S-lw)=(2)0.5Ph[/tex]
[tex]2(S-lw)=Ph[/tex]
Divide by h both sides
[tex]2(S-lw)/h=Ph/h[/tex]
[tex]2(S-lw)/h=P[/tex]
Rewrite
[tex]P=2(S-lw)/h[/tex]