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Question

Two identical cubes each of volume 216 cm3 are joined together end to end. What is the surface area of the resulting cuboid?

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Solution

Let the length of a side of a cube = a cm

Given , volume of the cube , a3=216cm3a=6cm
On joining two cubes, we get a cuboid whose
Length , l = 2a cm
Breadth , b = a cm
And height , h = a cm
Now, surface area of the resulting cuboid = 2 (lb+bh+lh)
=2(2a.a+a.a+a.2a)
=2(2a2+a2+2a2)=2(5a2)
=10a2=10(6)2=360cm2­

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