three cuboids of dimension 5cm x 6cm x 7cm, 4cm x 7cm x 8cm and 2cm x 3cm x 13cm are melted and a cube is made. Find the side of cube
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Volume of first cuboid = 5*6*7 cm^3 = 210 cm^3
Volume of second cuboid = 4*7*8 cm^3 = 224 cm^3
Volume of third cuboid = 2*3*13 cm^3 = 58 cm^3
Volume of the cube = Total volume of all three cuboids = 210+224+58 = 492 cm^3
Side of the new cube formed = a^3 = 492 cm^3
=> a = 6 root 3 cm
Side = 6 root 3 cm
Volume of second cuboid = 4*7*8 cm^3 = 224 cm^3
Volume of third cuboid = 2*3*13 cm^3 = 58 cm^3
Volume of the cube = Total volume of all three cuboids = 210+224+58 = 492 cm^3
Side of the new cube formed = a^3 = 492 cm^3
=> a = 6 root 3 cm
Side = 6 root 3 cm
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