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Question

The dimensions of a cuboid are in the ratio of 1 : 2 : 3 and its total surface area is 88 m2. The volume of cuboid in m3___ m3

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Solution

The sides will be x,2x,3x

Total surface area =2(x.2x+2x.3x+x.3x)

2(2x2+6x2+3x2)=88

22x2=88

x=2

So sides are 2 cm, 4 cm and 6 cm

So volume =2×4×6=48m3


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