What is the volume of a square pyramid with a side length of 15.2 centimeters and a height of 9.6 centimeters? Round to the nearest hundredth.

To find the volume of a square pyramid, you can use the formula: \( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \). The base area of a square pyramid is calculated as the side length squared. In this case, the base area is \( 15.2 \, \text{cm} \times 15.2 \, \text{cm} = 231.04 \, \text{cm}^2 \). Plugging the values into the volume formula gives: \[ V = \frac{1}{3} \times 231.04 \, \text{cm}^2 \times 9.6 \, \text{cm} = \frac{2210.784 \, \text{cm}^3}{3} \approx 736.94 \, \text{cm}^3. \] So, the volume of the pyramid is approximately \( 736.94 \, \text{cm}^3 \). Ancient Egyptians are often credited with the construction of pyramids, which served as grand tombs for pharaohs. These monumental structures, like the Great Pyramid of Giza, showcased advanced engineering skills and mathematical precision, making them wonders of the ancient world. In the real world, understanding the volume of geometric shapes like pyramids is not just academic! It has practical applications in various fields, such as architecture, art, and even packaging design, where it's crucial to maximize space and materials efficiently. Ever packed a suitcase or designed a building? You're applying these concepts!