Which of the following describes a solid object that has flat faces and is a polyhedron?

Which of the following describes a solid object that has flat faces and is a polyhedron?

• A. Sphere
• B. Cylinder
• C. Prism
• D. Pyramid

Answer: (C)

A solid object characterized by having flat faces and classified as a polyhedron is best described as a prism. Prisms are defined by two parallel, congruent bases connected by rectangular faces, all of which are flat polygons. This structural feature of having flat surfaces is essential to the definition of polyhedra, which are three-dimensional figures with flat polygonal faces, straight edges, and vertices. While a pyramid also qualifies as a polyhedron due to its flat faces, with a base that can be any polygon and triangular faces converging at a point, the term "prism" specifically indicates a category of polyhedra that includes a uniformity in structure of the bases. Spheres and cylinders do not fit the criteria for polyhedra, as they contain curved surfaces rather than flat faces. Thus, the selection of a prism identifies a solid that adheres strictly to the definition of flat-faced polyhedra, making it the most accurate choice.

A solid object characterized by having flat faces and classified as a polyhedron is best described as a prism. Prisms are defined by two parallel, congruent bases connected by rectangular faces, all of which are flat polygons. This structural feature of having flat surfaces is essential to the definition of polyhedra, which are three-dimensional figures with flat polygonal faces, straight edges, and vertices.

While a pyramid also qualifies as a polyhedron due to its flat faces, with a base that can be any polygon and triangular faces converging at a point, the term "prism" specifically indicates a category of polyhedra that includes a uniformity in structure of the bases. Spheres and cylinders do not fit the criteria for polyhedra, as they contain curved surfaces rather than flat faces. Thus, the selection of a prism identifies a solid that adheres strictly to the definition of flat-faced polyhedra, making it the most accurate choice.