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Question
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.
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Solution
Let the breadth be x
and the length be 2x
Height = 3 m
Area of four walls = 108 m2
⇒ 2(l + b)h = 108
⇒ 2(2x + x)3 = 108
⇒ `6 xx 3x = 108`
⇒ `3x = 108/6`
⇒ `x = 18/3 = 6`m
∴ Breadth = x = 6 m
and length = 2x = 12 m
Hence, Volume = `l xx b xx h`
= `12 xx 6 xx 3`
= 216 m3
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