FTCE General Knowledge Math Practice Test

What is the name of the space figure characterized by a square base and four triangular sides?

1. Pyramid

2. Cube

3. Cylinder

4. Prism

The correct answer is: Pyramid

The space figure characterized by a square base and four triangular sides is known as a pyramid. A pyramid has a polygonal base—in this case, a square—and its triangular faces converge at a single point called the apex. This structure gives the pyramid its distinct shape, differentiating it from other three-dimensional figures. In contrast, a cube comprises six square faces and exhibits equal length on all sides; it does not have a triangular face. A cylinder has two parallel circular bases connected by a curved surface, which is entirely different from the defined edges of a pyramid. A prism is identified by having two parallel, congruent bases connected by rectangular or parallelogram faces, lacking the apex characteristic of a pyramid. Thus, when recognizing the properties unique to a pyramid, it becomes clear why the correct answer is the pyramid.