Chapter 10, Problem 1P

To determine

To Find: The mass of the granite monolith.

Answer to Problem 1P

The mass of the granite monolith is $2.7\times {10}^{11}\text{ kg}$ .

Explanation of Solution

Given info:

Volume $V={10}^8{\text{ m}}^{\text{3}}$ .

Density of granite monolith $\rho =2.7\times {10}^3{\text{ kg/m}}^3$ .

Formula used:

Expression of density and mass:

  $\begin{array}{l}\rho \text{ = }\frac{\text{Mass}}{\text{Volume}}\text{ = }\frac{m}{V}\\ m=\rho \times V\end{array}$

Calculation:

Substitute the given values in the above equation,

  $\begin{array}{c}m=\rho \times V\\ =2.7\times {10}^3\times {10}^8\\ =2.7\times {10}^{11}\text{ kg}\end{array}$

Conclusion:

Thus, the mass of the granite monolith is $2.7\times {10}^{11}\text{ kg}$ .