The walls and ceiling of a room are to be plastered. The dimensions of the room are 4.5 m × 3 m × 50 cm. Find the cost of plastering at the rate of ₹ 12/m2
Answers
Answer:
Given, length of the room (l) = 4.5 m
Breadth of the room (b) = 3m
Height of the room (h) = 350 cm = 3.5 m
And the cost of plastering = Rs. 8perm
2
Therefore, the area of the walls = 2h(l+b)
= 2×3.5×(4.5+3) = 7×(7.5) = 52.2 m
2
Area of the ceiling = lb = 4.5×3 = 13.5m
2
Area of the room = 52.5+13.5 = 66m
2
Hence, the cost of plastering = 66×8 = Rs 528
Step-by-step explanation:
hope its helpful
☀ Given that: The dimensions of the room are 4.5m × 3m × 50cm and the walls, ceiling of that room are to be plastered.
Need to find: Cost of plastering at the rate of Rs. 12/m²
Must Understand:
- This room is in the form of cuboid as length, width, height are not same in measure.
- The area to be plastered for walls is the Lateral Surface Area.
- Area of ceiling alone will be area of a rectangle.
- Lateral Surface Area of cuboid = 2h( l + b )
- Area of Ceiling = lb
- Total Area to be plastered = 2h( l + b ) + lb
Where,
l is length ( 4.5m )
b is breadth ( 3m )
h is height ( 50cm = 0.5m )
Solution:
Area to be plastered-
→ 2h( l + b ) + lb
→ 2 × 0.5( 4.5 + 3 ) + 4.5 × 3
→ 1 × 7.5 + 13.5
→ 7.5 + 13.5
→ 21 m²
Cost of Plastering-
→ Area × Cost per m²
→ 21 × 12
→ Rs 252
_______________
- Henceforth, the cost of plastering is Rs 252