Answer:
512 inches³
Step-by-step explanation:
First, you need to know the equation for the surface area of a square prism:
SA = 6(L²)
(L²) is the equation to find the area of a square. Since a square prism has 6 square faces, we would multiple the area of one of the faces by 6 to get our surface area. (I use L² rather than L · W since the length and width are the same since this is a square.)
6(L²) = 384
Divide each side by 6.
6(L²) = 384
L² = (384 ÷ 6)
L² = 64
Find the square root of each side.
L² = 64
L² = √64
L = 8
Now that we know the exact value of each side of our square prism, we can use L³ (L · W · H) to get our volume.
8³ = 512 inches³
~Hope this helps!~
