Answer:
16 square feet
Step-by-step explanation:
First, let's find how long each side of the cube is.
The volume of a cube is found by this formula, where s is a side of the cube:
[tex]V = s^3[/tex]
We can take the cube root of both sides:
[tex]\sqrt[3]{V} = \sqrt[3]{s^3}[/tex]
Just flipping it:
[tex]\sqrt[3]{s^3}=\sqrt[3]{V}\\s = \sqrt[3]{V}[/tex]
We know our volume is 64 cubic feet. Let's put that into our equation as V:
[tex]s=\sqrt[3]{64}[/tex]
The cubic root of 64 is 4, since 4 * 4 * 4 = 64
[tex]s=4[/tex]
Thus, each side of our cube is 4 feet.
Now, the area of a side of our cube is found using this formula:
[tex]A = s^2[/tex]
Since we know s, we can easily find the area A by squaring it:
[tex]A = 4^2 = 16[/tex]
Answer: 16 square feet
