Answer
The surface area is $96\; in.^2$.
Work Step by Step
The given equation is
$\Rightarrow s=\sqrt{\frac{A}{6}}$
Substitute edge length $s=4$.
$\Rightarrow 4=\sqrt{\frac{A}{6}}$
Square each side of the equation.
$\Rightarrow (4)^2=(\sqrt{\frac{A}{6}})^2$
Simplify.
$\Rightarrow 16=\frac{A}{6}$
Multiply each side by $6$.
$\Rightarrow 6\times 16=6\times \frac{A}{6}$
Simplify.
$\Rightarrow 96=A$
Hence, the surface area is $96\; in.^2$.
