Three metallic solid cubes whose edges are 3 cm, 4 cm and 5 cm are melted and formed into a single cube. Find the edge of the cube so formed.
Given edge of three solid cubes are 3 cm , 4 cm and 5 cm respectively
Volume of first cube =(3)3=27cm3
Volume of second cube =(4)3=64cm3
And Volume of third cube =(5)3=125cm3
∴ Sum of volume of three cubes =(27+64+125)=216cm3
Let the edge of the resulting cube R = cm
Then, volume of the resulting cube, R3=216⇒R=6cm.