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Two identical cubes each of volume 64 cm3 are joined together end to end. What is the surface area of the resulting cuboid?

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Best answer

Let the side of one cube = a

Surfaces area of resulting cuboid = 2(Total surface area of a cube) – 2(area of single surface)

We know that,

Total surface area of cube = 6a2 , where a = side of cube

⇒ Surfaces area of resulting cuboid = 2(6a2) – 2(a2) = 10a2

Also,

According to the question,

Volume of cube = 64 cm3

Volume of cube = a3

64 = a3

a = 4 cm

Therefore,

Surface area of resulting cuboid = 10a2 = 10(4)2 = 160 cm2

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