To determine how many cuboids Anita needs to form a cube, we first need to establish the volume of both the cuboid and the cube.

Volume of the Cuboid
- The formula for the volume of a cuboid is:
**Volume = Length × Width × Height**
- For Anita's cuboid:
**Length = 5 cm, Width = 2 cm, Height = 5 cm**
- Calculating the volume:
**Volume = 5 cm × 2 cm × 5 cm = 50 cm³**

Volume of the Cube
- The volume of a cube is given by the formula:
**Volume = Side³**
- To find the smallest cube that can be formed using the cuboids, we need to determine a side length that is a multiple of the dimensions of the cuboid. The smallest cube that can accommodate the cuboid dimensions is a cube with a side length of 10 cm.
- Calculating the volume of the cube:
**Volume = 10 cm × 10 cm × 10 cm = 1000 cm³**

Number of Cuboids Required
- To find out how many cuboids are needed to fill the volume of the cube, we use the following calculation:
**Number of Cuboids = Volume of Cube / Volume of Cuboid**
- Therefore:
**Number of Cuboids = 1000 cm³ / 50 cm³ = 20**

Conclusion
- Anita will need **20 cuboids** of dimensions 5 cm × 2 cm × 5 cm to form a cube with a side length of 10 cm. This allows her to utilize the volume efficiently and create a complete cube structure.