This is one of the important question from the cbse board exam because this question was asked in 2011 cbse board exam; Question number 26 from RS Aggarwal book page number 827, exercise 17D, chapter volume and surface area of solid.

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# 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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## Volume of 3 cubes = Volume of cube

Volume of cube =a^3

Therefore, (3^3)+(4^3)+(5^3)=a^3

⇒27+64+125=a^3

⇒a^3=216

⇒ edge of the new cube formed is a=6cm