Subjects geometry

Hall Cost

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Hall Cost


1. **State the problem:** We have a cuboid-shaped community hall with dimensions 30 m (length), 15 m (width), and 3 m (height). We need to find the cost of painting the walls and ceiling and tiling the floor. 2. **Calculate the area to be painted:** The walls consist of two pairs: - Two walls of size 30 m × 3 m each - Two walls of size 15 m × 3 m each Total wall area = $2 \times (30 \times 3) + 2 \times (15 \times 3) = 2 \times 90 + 2 \times 45 = 180 + 90 = 270$ m² 3. **Calculate the ceiling area:** Ceiling area is the floor area as well since it's a cuboid: $30 \times 15 = 450$ m² 4. **Total paint area (walls + ceiling):** $270 + 450 = 720$ m² 5. **Calculate how many tins of paint are needed:** Each tin covers 25 m². Number of tins = $\frac{720}{25} = 28.8$ tins Since tins can't be bought in fractions, round up to 29 tins. 6. **Calculate paint cost:** Each tin costs 10. Total paint cost = $29 \times 10 = 290$ 7. **Calculate floor area (for tiles):** $30 \times 15 = 450$ m² 8. **Calculate tile cost:** Each tile covers 1 m² and costs 3. Total tile cost = $450 \times 3 = 1350$ 9. **Calculate total cost:** Total cost = paint cost + tile cost = $290 + 1350 = 1640$ **Final answers:** - Paint cost: $290$ - Tiles cost: $1350$ - Total cost: $1640$