The length of the base edge of a square pyramid is 3 ft , and the height of the pyramid is 20 ft . What is the volume of the pyramid? \( 60 \mathrm{ft}^{3} \) \( 90 \mathrm{ft}^{3} \) \( 180 \mathrm{ft}^{3} \) \( 360 \mathrm{ft}^{3} \)

To find the volume of the square pyramid, you can use the formula: \[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \] The base area of a square with side length \(3 \, \text{ft}\) is \(3 \times 3 = 9 \, \text{ft}^2\). The height of the pyramid is \(20 \, \text{ft}\). Plugging these values into the formula gives: \[ V = \frac{1}{3} \times 9 \, \text{ft}^2 \times 20 \, \text{ft} = \frac{180}{3} = 60 \, \text{ft}^3. \] So, the correct answer is \(60 \mathrm{ft}^3\). Pyramids have fascinated architects and historians alike for centuries! The Great Pyramid of Giza, the largest of the three pyramids on the Giza Plateau, was built around 2580–2560 BC and originally stood at 146.6 meters (481 feet). It's a stunning example of ancient engineering and continues to inspire wonder today. If you're looking to solve similar problems, remember that the formula for the volume of any pyramid remains constant, regardless of its shape. Just ensure that you calculate the base area properly! A common mistake is forgetting to divide by 3, so keep that in mind, or you'll end up with an inflated volume. Happy calculating!