Which of the following are polyhedrons?Check all that apply.A.PrismB.CylinderC.PyramidD.Cone

Break Down the Problem

1. Define Polyhedrons: A polyhedron is a solid object with flat faces, straight edges, and vertices.
2. Identify Each Option: Analyze each option to determine if it fits the definition of a polyhedron.

Relevant Concepts

1. Prism: A solid with two parallel faces (bases) connected through rectangular sides.
2. Cylinder: A solid with circular bases connected through a curved surface.
3. Pyramid: A solid with a polygonal base and triangular faces that meet at a point (the apex).
4. Cone: A solid with a circular base and a single vertex (the apex) connected through a curved surface.

Analysis and Detail

1. Prism (A): Meets the definition of a polyhedron as it has flat faces, edges, and vertices.
2. Cylinder (B): Does not fit the definition, as it has curved surfaces.
3. Pyramid (C): Fits the definition of a polyhedron, as it has flat triangular faces and a base.
4. Cone (D): Does not meet the definition because it has a curved surface and only one flat base.

Verify and Summarize

• From the analysis, both the prism and pyramid are polyhedrons, while the cylinder and cone are not.

Final Answer

The polyhedrons from the options are:

• A. Prism
• C. Pyramid