Final answer:
To find the surface area of a cube with a volume of 8 cubic feet, we can follow these steps: 1. Find the length of the side by taking the cube root of the volume. 2. Use the formula for the surface area of a cube, SA = 6s², and substitute the length of the side into the formula. 3. Calculate the surface area.
Step-by-step explanation:
To find the surface area of a cube with a volume of 8 cubic feet, we first need to find the length of the side of the cube. We can use the formula for the volume of a cube, V = s³, and substitute the given volume, 8 cubic feet, into the formula. So, 8 = s³. Taking the cube root of both sides gives us s = 2 feet. Now, we can use the formula for the surface area of a cube, SA = 6s², and substitute the length of the side, 2 feet, into the formula. So, SA = 6(2)² = 24 square feet.