# 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

1 answer

###### 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

## Answers

Answer:[tex]h=\frac{SA-2s^2}{4s}[/tex]Step-by-step explanation:we know that'The formula to calculate the surface area of a square prism is [tex]SA=2s^2+4sh[/tex]wheres is the length of the side of the square baseh is the height of the prismSolve for hThat means ----> Isolate the variable hsosubtract 2s^2 both sides[tex]SA-2s^2=4sh[/tex]Divide by 4s both sides[tex]\frac{SA-2s^2}{4s}=h[/tex]Rewrite[tex]h=\frac{SA-2s^2}{4s}[/tex]

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