Question

which of the following are polyhedrons?

check all that apply.

a. cone
b. cylinder
c. pyramid
d. prism

Explanation:

Define a polyhedron

A polyhedron is a three-dimensional solid whose faces are all polygons (flat surfaces bounded by straight line segments).

Analyze the given options

• Cone: Has a curved lateral surface and a circular base (not a polygon). Thus, it is not a polyhedron.
• Cylinder: Has a curved lateral surface and two circular bases (not polygons). Thus, it is not a polyhedron.
• Pyramid: Consists of a polygonal base and triangular flat faces meeting at a common vertex. All faces are polygons, so it is a polyhedron.
• Prism: Consists of two parallel, congruent polygonal bases connected by parallelogram lateral faces. All faces are polygons, so it is a polyhedron.

Identify the correct choices

The polyhedrons among the choices are the pyramid and the prism.

Answer:

• A. Cone
• B. Cylinder
• C. Pyramid (Correct answer)
• D. Prism (Correct answer)