A baseball fits snugly inside a transparent display cube. The length of an edge of the cube is 2.9 inches.
Is the baseball’s volume greater than, less than, or equal to cubic inches? Explain how you know.
1. A cube’s volume is 512 cubic units. What is the length of its edge?
2. If a sphere fits snugly inside this cube, what is its volume?
3. What fraction of the cube is taken up by the sphere? What percentage is this? Explain or show your reasoning.