Question

In order to determine the slant height of several pyramids, Marjorie used the surface area formula, s= 1/2 pl+b for the slant height,l . Which equation , in terms of l, represents the correct transformation of the surface area formula?

Answer 1

Answer:

$l=\dfrac{2(S-b)}{P}$

Step-by-step explanation:

The surface area formula for pyramids is given by :

$S=\dfrac{1}{2}Pl+b$ ...(1)

We need to arrange the formula for l.

Take b to LHS,

$S-b=\dfrac{1}{2}Pl\\\\2(S-b)=Pl\ [\text{cross-multiplying}]\\\\l=\dfrac{2(S-b)}{P}$

So, the expression is $\dfrac{2(S-b)}{P}$ for the slant height.