Question

Calculate the surface area of the square pyramid that has a base length of 12 and a slant height of 18. Show your work. Make it 1 sentence. make it 1 sentence. make it 1 sentence. make it 1 sentence.

Answer 1

The surface area \( S \) of a square pyramid can be calculated using the formula \( S = \frac{1}{2} \times \text{perimeter of the base} \times \text{slant height} + \text{area of the base} \); with a base length of 12, the perimeter is \( 4 \times 12 = 48 \), the area of the base is \( 12^2 = 144 \), and so the surface area is \( S = \frac{1}{2} \times 48 \times 18 + 144 = 432 + 144 = 576 \), making the total surface area of the square pyramid 576 square units.