the dimension of mr narula's bedroom is 8m × 7m × 5m. it has two windows each measuring 2 m × 1m and one door measuring 3m × 1m. find the cost of white washing the room ₹50 per square metre.
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Answer:
Given,
Dimensions of bedroom =8 m×7 m×5 m
Area of room = area of cuboid =2(lb+bh+hl)
=2(8×7+7×5+5×8)
=2(56+35+40)
=2(131)
=262 m
2
Hence, area of room =262 m
2
Area of window = Area of rectangle =l×b
=2×1=2 m
2
There are 2 windows, total area =2×2=4 m
2
Area of door =l×b=3×1=3 m
2
∴ Area of whitewashing room = Area of room − [area of door + area of window]
=262−[4+3]
=262−7
=255 m
2
Hence, the cost of whitewashing (at Rs. 50 per square meter ) =255×50
=Rs. 12750
Hence, the cost of whitewashing the room is Rs. 12750.
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