Question : The length of cold storage is 5 times its breadth, and its height is 8 m. The area of its four walls (including the doors) is 720 m2. Find the total surface area of cold storage.
Option 1: 1290.6 m2
Option 2: 1275.3 m2
Option 3: 1265.25 m2
Option 4: 1282.5 m2
Correct Answer: 1282.5 m2
Solution : Let the breadth of the cold storage as b (in meters). Given that the length is 5 times the breadth. Then, its length would be 5b, and the height would be 8m. The area of the four walls (including the doors) = 2 × (length + breadth) × height ⇒ 2 × (5b + b) × 8 = 720 ⇒ 12b × 8 = 720 ⇒ 96b = 720 ⇒ b = $\frac{720}{96}$ = 7.5 m So, the breadth of the cold storage is 7.5m, and the length is 5 × 7.5 = 37.5 m The total surface area of the cold storage (including the floor and ceiling) = 2 × (length × breadth + breadth × height + height × length) = 2 × (37.5 × 7.5 + 7.5 × 8 + 8 × 37.5) = 2 × (281.25 + 60 + 300) = 2 × 641.25 = 1282.5 m2 Hence, the correct answer is 1282.5 m2.
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Question : The length and breadth of a cuboidal store are in the ratio 2 : 1 and its height is 3.5 metres. If the area of its four walls (including doors) is 210 m2, its volume is ____.
Option 1: 679 m3
Option 2: 700 m3
Option 3: 567 m3
Option 4: 1050 m3
Question : A hall of 10 m in length, 5 m in width, and 6 m in height is to be painted (one side only). Determine the total surface area to be painted. (neglect the area of windows and doors)(floor area is NOT to be painted)
Option 1: 300 m2
Option 2: 280 m2
Option 3: 330 m2
Option 4: 230 m2
Question : The internal length of a room is two times its breadth and three times its height. The total cost of painting its four walls at the rate of INR 25/m2 is INR 3,600. What is the cost of laying a carpet on its floor at the rate of INR 90.50/m2?
Option 1: INR 6,516
Option 2: INR 7,240
Option 3: INR 5,430
Option 4: INR 5,970
Question : The area of a rectangular field is 480 m2. If the length is 20% more than the breadth, then the length of the rectangular field is:
Option 1: 30 m
Option 2: 20 m
Option 3: 24 m
Option 4: 27 m
Question : The ratio of the length and breadth of a rectangular parallelepiped is 5 : 3 and its height is 6 cm. If the total surface area of the parallelepiped is 558 cm2. then its length (in dm) is:
Option 1: 9
Option 2: 1.5
Option 3: 10
Option 4: 15
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