Questions: A stone pyramid in Egypt has a square base that measures 148 m on each side. The height is 93 m. What is the volume of the pyramid? m^3 Round your answer to the nearest tenth if necessary.

Solution Steps

To find the volume of a pyramid, we use the formula: Volume = (Base Area * Height) / 3. The base area of the pyramid is a square, so we calculate it by squaring the side length of the base. Then, we multiply the base area by the height and divide by 3 to get the volume.

The base of the pyramid is a square with a side length of \( 148 \, \text{m} \). The area of the base \( A \) is calculated as: \[ A = \text{side length}^2 = 148^2 = 21904 \, \text{m}^2 \]

The volume \( V \) of the pyramid is given by the formula: \[ V = \frac{A \cdot h}{3} \] where \( h \) is the height of the pyramid, which is \( 93 \, \text{m} \). Substituting the values: \[ V = \frac{21904 \cdot 93}{3} = 679024 \, \text{m}^3 \]

The volume rounded to the nearest tenth is: \[ V \approx 679024.0 \, \text{m}^3 \]

Final Answer