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Solve the surface area formula
A=6s^(2) for
s. Then find the value of
s when
A=24.

Solve the surface area formula $A=6s^{2}$ for $s$ . Then find the value of $s$ when $A=24$ .

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Write and solve direct variation equations

Full solution

Q. Solve the surface area formula

A=6s^{2}

for

s

. Then find the value of

s

when

A=24

.

Identify Formula: Identify the formula for the surface area of a cube. $\newline$ The formula given is $A = 6s^2$ , where $A$ is the surface area and $s$ is the side length of the cube.
Substitute Value: Substitute the given value of $A$ into the formula. $\newline$ We know $A = 24$ , so plug it into the formula: $24 = 6s^2$ .
Solve for $s^2$ : Solve for $s^2$ . $\newline$ Divide both sides by $6$ to isolate $s^2$ . $\newline$ $\frac{24}{6} = s^2$ $\newline$ $4 = s^2$
Find Value of s: Find the value of $s$ . $\newline$ Take the square root of both sides to solve for $s$ . $\newline$ $s = \sqrt{4}$ $\newline$ $s = 2$

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