Mathematics

The edges of three solid cubes are 6 cm, 8 cm and 10 cm. These cubes are melted and recasted into a single cube. Find the edge of the resulting cube.

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Volume of resulting cube = Volume of three cubes.

Volume of the cube = side³

Sides of three solid cubes are 6 cm, 8 cm and 10 cm.

Let R be the side of resulting cube.

So,

R³ = 6³ + 8³ + 10³

⇒ R³ = 216 + 512 + 1,000

⇒ R³ = 1,728

⇒ R = $\sqrt[3]{1,728}$

⇒ R = 12 cm

Hence, the edge of resulting cube is 12 cm.

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