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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

Respuesta :

calculista

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]

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

[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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