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 m 2
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 m
2
Hence, the correct answer is 1282.5 m
2
.
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