Final answer:
To find the length of a cube's edge when the volume is known (800 cubic inches), you take the cube root of the volume. The edge length of the cube is approximately 9.283 inches.
Step-by-step explanation:
The student is asking how to find the length of an edge of a cube given its volume. For a cube with a volume of 800 cubic inches, we must take the cube root of the volume to find the length of one side, since the volume of a cube is equal to the side length cubed (V = s³).
Calculating the cube root of 800 gives us the side length:
- Edge length = ∛(800 cubic inches)
- Edge length ≈ 9.283 inches
Therefore, each edge of the cube is approximately 9.283 inches long.