three cuboids of dimensions 5cm×6m×7cm, 7cm×4cm×8cm and 3cm×13cm×2cm are melted and a cube is made .find the volume and lateral surface area of new cube.
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Volume of First cuboid = 5 × 6 × 7 = 210 cm3
Volume of second cuboid = 4 × 7 × 8 = 224 cm3
Volume of third cuboid = 2 × 3 × 13 = 78 cm3 So,
Volume of a cube = 210 + 224 + 78 = 512 cm3
Let side of a cube be ‘a’ a3 = 512 ∴ a = 8 cm
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