Three cuboids of dimemsions 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.
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