Question

A rectangular container, whose base is a square of side 5 cm, stands on a horizontal table, and holds water up to 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.

Answer 1

Let the length of each edge of the cube be x cm
Then,
Volume of cube = volume of water inside the tank + volume of water that over flowed

`x^3=(5xx5xx1)+2=25+2`

`x^3=27`

`x=3cm.`

Hence, volume of cube `= 27cm^3`

And edge of cube = `3cm`