question 1) An assembly hall is 45 metre long, 30 metre broad and 16 metre high. It has 5 doors each measuring 4 metre by 3.5 metre and 4 windows 2.5 by 1.6 metre each. Find (i) the cost of papering its walls at the rate of Rs.35 per metre square.(ii) the the cost of carpeting it's floor at the rate of Rs. 154 per metre square.<br />Step by step explanation.<br />No direct answers.
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Step-by-step explanation:
The Lateral Surface area of the room is 2( lb + hl )
l = 45 m b = 30 m h = 16 m
Area covered by 1 door is 4 X 3.5 = 14 sq m
Area covered by one window = 2.5 X 1.6 = 4 sq m
Total area covered by 5 doors and 4 windows is
5 X ( 14 ) + 4 X ( 4 ) = 86 sq m
The total surface area of room is
2( 45X30 + 45X16 )
= 4140 sq m
Total area that can be covered is
Lateral Surface Area - Area covered by doors and windows
= 4054 sq m
Area of floor is bh
= 480 sq m
(i)
Cost of papering the walls is Area times the rate
= 4140 X 35
= Rs 144900
(ii)
Cost of carpeting the walls is area X rate
= 480 X 154
= Rs 73920
For visuals refer attachment.
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