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Question

A brick has length (l), breadth (b) and height (h) in the ratio 1:2:3, the total surface area of the brick is 792 sq. m. Find its volume.


A

1296 m3

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B

1396 m3

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C

1496 m3

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D

1596 m3

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Solution

The correct option is A

1296 m3


Given - I:b:h = 1:2:3

Let the length be x. Then b = 2x, h = 3x

As per question:

2(lb + bh + hl) = 792

2(2x2+6x2+3x2) = 792

11 x2 = 7922

x2 = 39611 = 36

x = 6 m

l = 6m, b = 2 × 6 = 12m and h = 3 × 6 = 18m

Hence volume= lbh= 6×12×18 = 1296 m3


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