Three metallic cubes whose edges are 3 cm, 4 cm and 5 cm, are melted and recast into a single large cube. Find the edge of the new cube formed.

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Solution

Total volume of 3 cubes = (3³+ 4³+ 5³) cm³

= (27 + 64 + 125)cm³

= 216 cm³

Now volume of new cube = 216 cm³

So edge of new cube = cube root of 216 cm³

= 6 cm

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