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Three metal cubes of sides 5 cm, 4 cm and 3 cm are melted and recast into a new cube. The length of the edge of this cube, is?

6 cm
8 cm
10 cm
None of these

Correct Answer: 6 cm

Explanation:

Volume of new cube = (5)³ + (4)³ + (3)³ cm³
= 126 cm³
Edge of this cube = (6 x 6 x 6)^1/3 = 6 cm

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