Question

Medal!

Bonnie has a container in the shape of a rectangular pyramid. The formula for the surface area of the enclosed space is S = lw + 0.5Ph. Solve for P.


P = S – lw – 0.5h
P = S + lw + 0.5h

P = The quantity S minus l times w all divided by 0.5 times h

P = S divided by the quantity l times w plus 0.5 times h

Answer 1

C

Answer 2

ok

Answer 3

??? where your text went

Answer 4

Firstly, Let's subtract lw from both sides as follows:
S=lw + 0.5 Ph

Answer 5

s (-lw) = lw(-lw) + 0.5 Ph
this gives:
s-lw = 0.5 Ph

Answer 6

Next, Ph really means P x h , and all we want is P, so we will need to divide both sides by h, as follows:
s-lw/h = (0.5 Ph)/h

Answer 7

now the h's on the right-hand side cancel, and you are left with:
s-lw/h = 0.5 P
to get P that means we need to multiply both sides by 2 as follows:
2 x(s-lw/h) = 2 x 0.5 P

Answer 8

so our answer is 2(s-lw/h) = P or (2s -2lw)/h = P