Question

unit 1 lesson 13 additional practice problems 1. select all the polyhedra. a. image of a polyhedron b. image of a polyhedron c. image of a polyhedron d. image of a cylinder e. image of a polyhedron

Explanation:

To determine polyhedra, recall: A polyhedron is a 3D shape with flat polygonal faces, straight edges, and vertices (no curved surfaces).

Step 1: Analyze Option A

A is a prism with polygonal (octagonal) bases and rectangular faces—all flat. So it’s a polyhedron.

Step 2: Analyze Option B

B has triangular faces (like a polyhedron with many triangular faces, e.g., a type of polyhedron with flat faces). All faces are flat polygons. Polyhedron.

Step 3: Analyze Option C

C is a polyhedron (e.g., a combination of a prism and a pyramid? Or a pentagonal pyramid - like? All faces are flat polygons). Polyhedron.

Step 4: Analyze Option D

D is a cylinder, which has curved surfaces (circular bases and a curved lateral surface). Not a polyhedron.

Step 5: Analyze Option E

E is a pyramid - like shape with a polygonal (pentagonal) base and triangular faces—all flat. Polyhedron.

Answer:

A. [The octagonal prism], B. [The polyhedron with triangular faces], C. [The polyhedron with a polygonal base and triangular faces], E. [The pentagonal pyramid - like shape]

(Note: Visually, A, B, C, E have only flat polygonal faces; D has a curved surface.)