FTCE Professional Education Practice Exam

Which formula represents the total area of a pyramid?

1. 1/3Bh

2. B + 1/2PI

3. 1/2PI + B

4. 2(3.14)(rh) + 2(3.14)r^2

The correct answer is: 1/2PI + B

The correct formula for the total area of a pyramid, specifically when considering the surface area, involves both the base area and the lateral surface area. The formula that correctly represents the total area of a pyramid is typically given as the sum of the area of the base (B) and the lateral surface area. In this context, the term "1/2PI" should refer to the lateral surface area of a cone when applied in a pyramid-like scenario. However, for a pyramid, the representation should directly utilize the measures related to its sides and base. In instances where lateral areas are considered, the correct relationship for the lateral area of a pyramid is less straightforward and depends significantly on the shape and type of pyramid. Thus, the ideal representation will often separate the lateral surface area from the base, where the combination inherently reflects the total surface area. Choosing the option interpreted to include lateral adjustments or extra parameters could blend in confusion with the actual lateral surface area specifics of a pyramid unless clarified otherwise. Therefore, without correctly identifying the intended application of "1/2PI" in the context of pyramids distinctly, it might be misapplied here. Overall, understanding the surface area as the sum of the base area and the lateral surface area enables you