A rectangular container, whose base is a square of side 5 cm, stands on a horizontal table, and holds water upto 1 cm from the top. When a cube is placed in the water it is completely submerged, the water rises to the top and 2 cubic cm of water overflows. Calculate the volume of the cube and also the length of its edge.
Given,
Side of square base of container = 5 cm
Height of water level in container = 1 cm from top
Water overflow after submerging of cube = 2 cm3
Let edge of cube = a cm
Volume of cube = a3 cm3
= a3 = 52×1 +2 = 27 cm3
= a 
20