Q3 of 44 Page 14

The length of cold storage is double its breadth. Its height is 3 metres. The area of its four walls (including doors) is 108 m2. Find its volume.

Given: Area = 108m2, Height = 3m


and Length of a cold storage is double its breadth


So, Let breadth of a cold storage = x


∴ length of the cold storage = 2x


Area of four walls = 108m2


∴ 2(l + b)× h = 108


⇒ 2 (x + 2x)×3 = 108


⇒ 6(3x) = 108



⇒ x = 6


∴ Breadth of a cold storage = 6m


and Length of a cold storage = 2×6 = 12m


Hence, Volume of the cold storage = l × b × h


= 12 × 6 × 3


= 216m3


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Cardboard boxes of two different sizes are made. The bigger has dimensions 20cm, 15cm and 5cm and the smaller dimensions 16cm, 12cm and 4cm. 5% of the total surface area is required extra for all overlaps. If the cost of the cardboard is Rs. 20 for one square metre, find the cost of the cardboard for supplying 200 boxes of each kind.

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