1. **State the problem:** We need to find the depth of a cuboid-shaped basin that holds 158.175 litres of water. The basin's length is 95 cm and width is 45 cm. 2. **Formula used:** The volume $V$ of a cuboid is given by: $$V = \text{length} \times \text{width} \times \text{depth}$$ 3. **Convert litres to cubic centimeters:** Since 1 litre = 1000 cm³, $$158.175 \text{ litres} = 158.175 \times 1000 = 158175 \text{ cm}^3$$ 4. **Set up the equation:** $$158175 = 95 \times 45 \times \text{depth}$$ 5. **Calculate the product of length and width:** $$95 \times 45 = 4275$$ 6. **Solve for depth:** $$\text{depth} = \frac{158175}{4275} = 37$$ 7. **Answer:** The depth of the basin is **37 cm**. This means the basin is 37 cm deep to hold 158.175 litres of water.