1. **State the problem:** We need to find how many smaller cuboid boxes (10 cm by 3 cm by 4 cm) fit completely inside the larger cuboid box (50 cm by 30 cm by 20 cm). 2. **Formula used:** The number of smaller boxes that fit inside the larger box is the ratio of their volumes: $$\text{Number of smaller boxes} = \frac{\text{Volume of larger box}}{\text{Volume of smaller box}}$$ 3. **Calculate the volume of the larger box:** $$\text{Volume} = \text{length} \times \text{width} \times \text{height}$$ $$= 50 \times 30 \times 20 = 30000 \text{ cm}^3$$ 4. **Calculate the volume of the smaller box:** $$= 10 \times 3 \times 4 = 120 \text{ cm}^3$$ 5. **Calculate how many smaller boxes fit inside:** $$\frac{30000}{120} = 250$$ 6. **Interpretation:** You would need 250 smaller boxes to completely fill the larger box without gaps or overlaps.