Question

The surface area, SA, of a square prism is given by SA = 2s2 + 4sh. In the equation, •s is the length of the side of the square base and •h is the height. Which formula could be used to find h if you know the values of SA and s? A. H = SA + 2s2_______4 B. H = SA – 2s2_______4s C. H = SA – 2s2 – 4s D. H = SA___4s– 2s2

Answer 1

Answer:

$h=\frac{SA-2s^2}{4s}$

Step-by-step explanation:

we know that'

The formula to calculate the surface area of a square prism is

$SA=2s^2+4sh$

where

s is the length of the side of the square base

h is the height of the prism

Solve for h

That means ----> Isolate the variable h

so

subtract 2s^2 both sides

$SA-2s^2=4sh$

Divide by 4s both sides

$\frac{SA-2s^2}{4s}=h$

Rewrite

$h=\frac{SA-2s^2}{4s}$