Paint Cans Needed 5209A7
1. **State the problem:** Daniel needs to paint the walls and ceiling of a cuboidal hall with dimensions length = 15 m, breadth = 10 m, and height = 7 m. Each can of paint covers 100 m^2. We need to find how many cans of paint are required.
2. **Formula and explanation:**
- Surface area to be painted = Area of 4 walls + Area of ceiling
- Area of 4 walls = 2 \times height \times (length + breadth)
- Area of ceiling = length \times breadth
- Total area = 2h(l + b) + lb
- Number of cans = \frac{\text{Total area}}{100}
3. **Calculate the area of walls:**
$$2 \times 7 \times (15 + 10) = 2 \times 7 \times 25 = 350 \text{ m}^2$$
4. **Calculate the area of ceiling:**
$$15 \times 10 = 150 \text{ m}^2$$
5. **Calculate total area to be painted:**
$$350 + 150 = 500 \text{ m}^2$$
6. **Calculate number of cans needed:**
$$\frac{500}{100} = 5$$
**Final answer:** Daniel needs 5 cans of paint to cover the walls and ceiling of the hall.