A group of students from Class \(8\) is helping their school’s handicraft club prepare wooden cube-shaped crates for an exhibition. Each crate must have a volume that is a perfect cube, because the crates are to be stacked neatly without leaving gaps.
1. Find the smallest number by which 24565 must be divided so that the quotient becomes a perfect cube.
2. Find the smallest number by which 18225 should be multiplied to make it a perfect cube.
3. Which whole number cubed gives a value closest to 10000 but not exceeding it?
4. If the total number of blocks used is 8000, then find the side length.