Quiz 1 Google Classroom You might need: 圆 Calculator The Palace of Peace and Accord in Astana, Kazakhstan, was built in 2006. The building has a right square-based pyramid structure. The length of a side of the square base is $62 \mathrm{~m}$, and the vertical height of the pyramid is also $62 \mathrm{~m}$.

Step 1 ：The Palace of Peace and Accord in Astana, Kazakhstan, was built in 2006. The building has a right square-based pyramid structure. The length of a side of the square base is \(62 \mathrm{~m}\), and the vertical height of the pyramid is also \(62 \mathrm{~m}\).

Step 2 ：The question is asking for the volume of the pyramid. The formula for the volume of a pyramid is \(\frac{1}{3} \times \text{base area} \times \text{height}\). In this case, the base is a square with side length \(62\mathrm{m}\), and the height is also \(62\mathrm{m}\).

Step 3 ：First, we calculate the base area. Since the base is a square, the area is \(\text{side length}^2\). So, \(\text{base area} = 62^2 = 3844 \mathrm{m}^2\).

Step 4 ：Next, we substitute the base area and the height into the volume formula: \(\text{volume} = \frac{1}{3} \times 3844 \times 62 = 79442.66666666666 \mathrm{m}^3\).

Step 5 ：Finally, we round the volume to the nearest whole number to get the final answer.

Step 6 ：Final Answer: The volume of the pyramid is approximately \(\boxed{79443} \mathrm{m}^3\).