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Question

Two cubes each of volume 125 cm3 are joined end to end to form a solid. Find the surface area of the resulting cuboid. [CBSE 2013C]

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Solution

Let the edge of the cube be a.As,Volume of the cube=125 cm3a3=125a=1253a=5 cmSo,Length of the resulting cuboid, l=2×5=10 cm,Breadth of the resulting cuboid, b=5 cm andHeight of the resulting cuboid, h=5 cmNow,Surface area of the resulting cuboid=2lb+bh+hl=2×10×5+5×5+5×10=2×50+25+50=2×125=250 cm2

So, the surface area of the resulting cuboid is 250 cm2.

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