Question

all polyhedrons are prisms or pyramids.

a. true
b. false

Explanation:

Analyze the definition of a polyhedron

A polyhedron is a three-dimensional solid with flat polygonal faces, straight edges, and sharp vertices.

Evaluate the statement with counterexamples

Prisms and pyramids are specific classes of polyhedra, but many other polyhedra exist that are neither, such as the regular Platonic solids (e.g., octahedron, dodecahedron, icosahedron) or Kepler-Poinsot polyhedra.

Determine the truth value

Since there exist polyhedra that are neither prisms nor pyramids, the statement "All polyhedrons are prisms or pyramids" is false.

Answer:

• A. True
• B. False (Correct answer)