A room 7m long, 5m wide and 4m high has to be painted and the floor has to be tiled. The walls and the roof have to be painted at a cost of Rs.220 per sq.m. and the floor has to be tiled with square tiles of side 50 cm at a cost of Rs.400 for a pack of 20 tiles. What is the total cost?
Answers
Answer:
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Step-by-step explanation:
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Answer:
Total cost = Rs. 31620
Step-by-step explanation:
Given,
Length of room = l = 7m
Breadth of the room = b = 5m
Height of the room = h = 4m
Length of side of a tile = s = Rs. 50cm
Cost of painting = Rs. 220 per sq.m
Cost of tiles = Rs. 400 for a pack of 20 tiles.
To find,
The total cost of painting the wall and roof and tiling the floor
Recall the concepts:
Total surface area of the room = 2(lh+bh+lb)
Solution:
Total area of the walls = 2lh+2bh = 2(lh+bh)
Area of the roof = lb
Area of the floor = lb
Area to be painted = Area of the walls + Area of the roof
= 2(lh+bh) + lb
= 2(7×4+ 5×4) + 7×5
= 2(28+20) + 35
= 2×48 +35
= 131
Area to be painted = 131sq.m
Cost of painting 1 sq.m = Rs. 220
Cost of painting 131sq.m = Rs. 220×131
= Rs. 28820
The total cost of painting the walls and floor = Rs. 28,820
Area to be tiled = area of the floor
= 35sq.m
Since side of square tile = 50cm =
Area of the square tile = = sq.m
Number of tiles required = = 35×4 = 140tiles
Cost of a pack of 20 tiles = Rs. 400
Since 140 tiles require 7 packs of tiles.
Cost of 140 tiles = 400× 7 = Rs. 2800
Cost of tiling the floor = Rs. 2800
Total cost = cost of painting the floor +cost of tiling the floor
= Rs. 28820 + Rs. 2800
= Rs. 31620
Total cost = Rs. 31620
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