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Three cuboids of dimensions 5 cm × 6cm × 7cm, 4cm × 7cm × 8cm and 2 cm×3 cm× 13 cm are melted and a cube is made. Find the side of cube.

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Volume of First cuboids = 5 × 6 × 7 = 210 vm3

Volume of second cuboids = 4 × 7 × 8 = 224 cm3

Volume of third cuboids = 2 × 3 × 13 = 78 cm3

Volume of cube = 210 + 224 + 78 = 512

Let side of cube = a

⇒ a3 = 512

a = 8 cm

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