A carpenter, working with a buzz saw, wishes to cut a wooden cube, three inches on a side, into 27 one-inch cubes. This can be easily done by making six cuts through the cube, keeping the pieces ...

2025 isn't just a new year; it's a year of celebration for math enthusiasts ... It's the sum of three squares: 40 2 +20 2 +5 2 =2025 4. It's the sum of the cubes of numbers from 1 to 9: 1 3 ...

For example, these 4 cubes can be shared into two equal groups of 2 cubes. So 4 is an even number. An odd number cannot be shared equally into two groups. For example, these 3 cubes cannot be ...