contestada

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?

Respuesta :

Answer:

[tex]l=\dfrac{2(S-b)}{P}[/tex]

Step-by-step explanation:

The surface area formula for pyramids is given by :

[tex]S=\dfrac{1}{2}Pl+b[/tex] ...(1)

We need to arrange the formula for l.

Take b to LHS,

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

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

Otras preguntas