Cement Cost
1. **State the problem:** We need to find the cost of the cement used to cover the interior floor and walls of a basement room measuring 10m by 18m with a height of 3m, where the cement layer thickness is 5cm. Cement costs 108 per cubic meter.
2. **Convert thickness to meters:** The thickness is 5cm which equals $\frac{5}{100} = 0.05$ meters.
3. **Calculate the volume of cement for the floor:**
- Floor area: $10 \times 18 = 180$ m\(^2$)
- Volume on floor: $180 \times 0.05 = 9$ m\(^3$)
4. **Calculate the volume of cement for the walls:**
- Walls dimensions: Two walls are 10m long and two walls are 18m long, all 3m tall.
- Total wall surface area: $2 \times 10 \times 3 + 2 \times 18 \times 3 = 60 + 108 = 168$ m\(^2$)
- Volume on walls: $168 \times 0.05 = 8.4$ m\(^3$)
5. **Calculate total volume of cement:**
$$9 + 8.4 = 17.4\text{ m}^3$$
6. **Calculate total cost:**
$$17.4 \times 108 = 1879.2$$
**Final answer:** The approximate cost of the cement is 1879.2.