The expression for the slant height is l = 2(S-B)/P
Subject of formula
The subject of formula is a way of representing a variable in terms of other variables.
Given the formula for calculating the surface area as;
S=1/2Pl + B
We are to find the value of the slant height.
Subtract B from both sides
S - B = 1/2Pl + B - B
S - B = 1/2Pl
Cross multiply
2(S-B) = Pl
Divide both sides by P
2(S-B)/P =Pl/P
2(S-B)/P = l
Swap
l = 2(S-B)/P
Hence the expression for the slant height is l = 2(S-B)/P
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