Final answer:
To find the side length of a cube with a volume of 779 cubic inches, calculate the cube root of 779 and round to the nearest tenth, which is approximately 9.2 inches.
Step-by-step explanation:
To find the side length of a cube with a volume of 779 cubic inches, you need to understand the formula for the volume of a cube, which is V = s³, where V is the volume and s is the side length. We need to solve for s: s = √(779 inches³).
First, take the cube root of 779 to find the side length:
s = √(779 inches³) ≈ 9.153 inches
To round to the nearest tenth, we get approximately:
s ≈ 9.2 inches