A glass of water has an ice cube floating in water. The water level just touches the rim of the glass. Will the water overflow when the ice melts?

Why ice floats on water?

Ice floats on water because

For same mass of water and ice, why ice floats over water?

A glass beaker of mass 400 kg floats in water with the open end just touching the surface of water and half of the beaker filled with water. The inner volume of the beaker is 500 cm^3 What is the density of the meterial of the beaker ?