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

`h=(SA-2s^2)/(4s)`

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

`(SA-2s^2)/(4s)=h`

Rewrite

`h=(SA-2s^2)/(4s)`