Final answer:
The volume of a cube with an edge length of 8 cm is 512 cm³, so you would need 512 cubic centimeters to fill it.
Step-by-step explanation:
To find the volume of a cube with an edge length of 8 cm, we use the formula for the volume of a cube, which is V = a3, where a is the length of an edge of the cube. So, for a cube with an edge length of 8 cm, the volume V would be:
V = 8 cm × 8 cm × 8 cm = 512 cm3.
Therefore, you would need 512 cubic centimeters to fill the cube completely.