Chapter 10, Problem 7Q

To determine

To explain: The density of the ice and as the ice melts whether the water will overflow or not.

Explanation of Solution

Introduction:

Density can be defined as the measure of mass per unit volume. Mathematically, density is given by:

  $\rho =\frac{m}{V}$

Here,

  $m$ is the mass of the fluid.

  $V$ is the volume of the fluid.

According to the given statement, the ice floats in the glass of water. Hence, as it floats it can be concluded that the density of ice is lesser as compared to the density of water.

Now, the ice cube displaces the same volume of water as the mass of itself. So, as the ice cube melts it will cover the same volume of water which was displaced by it before. Hence, the water will not overflow.

Conclusion:

Hence, the density of ice is less and the water will not overflow.