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Mathematics

The length of a hall is double its breadth. Its height is 3 m. The area of its four walls (including doors and windows) is 108 m2, find its volume.

Surface Area, Volume, Capacity

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Answer

Given:

Let b be the breadth of the hall.

The length l of the hall is double its breadth, so l = 2b

The height h of the hall is 3 m.

The area of the four walls is 108 m2.

The area of the four walls of a hall = 2(l + b)h

⇒ 2(l + b)h = 108

⇒ 2(2b + b) x 3 = 108

⇒ 2 x 3b x 3 = 108

⇒ 18b = 108

⇒ b = 10818\dfrac{108}{18}

⇒ b = 6 m

So, l = 2b = 2 x 6 m = 12 m

And, volume of hall = l x b x h

= 12 x 6 x 3 m3

= 216 m3

Hence, the volume of the hall is 216 m3.

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