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

`l=(2(S-b))/(P)`

Explanation:

The surface area formula for pyramids is given by :

`S=(1)/(2)Pl+b` ...(1)

We need to arrange the formula for l.

Take b to LHS,

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

So, the expression is
`(2(S-b))/(P)` for the slant height.