Final answer:
To determine the side length of a cube with a volume of 8000cm³, calculate the cube root of the volume. The cube root of 8000cm³ is 20cm, so the side length is 20cm.
Step-by-step explanation:
To find the side length for a cube with a volume of 8000cm³, we use the formula for the volume of a cube V=s³, where V is the volume and s is the side length of the cube. To solve for s, we take the cube root of the volume:
s = ∛V
Plugging in the given volume:
s = ∛8000cm³
Calculating the cube root of 8000 gives us:
s = 20cm
Therefore, the side length of a cube with a volume of 8000cm³ is 20cm.