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Question---2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid??
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Step-by-step explanation:
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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