Question

1. what is the name of this polyhedron?

a) hexagonal prism
b) pentagonal pyramid
c) hexagonal pyramid
d) pentagonal prism

1. guess the polyhedron. i have 6 flat faces. some are rectangles. i have 12 edges and 8 vertices.

a) square pyramid
b) cube
c) triangular pyramid
d) rectangular prism/cuboid

1. name the polyhedron

a) triangular pyramid
b) rectangular prism
c) triangular prism
d) cube

Explanation:

For Question 6:

A prism has two congruent polygonal bases connected by rectangular faces. The figure has a hexagonal (6-sided) base, so it is a hexagonal prism.

For Question 7:

• A square pyramid has 5 faces, 8 edges, 5 vertices.
• A cube has 6 square faces, 12 edges, 8 vertices, but all faces are squares (not "some rectangles").
• A triangular pyramid has 4 faces, 6 edges, 4 vertices.
• A rectangular prism/cuboid has 6 faces (2 rectangular bases, 4 rectangular lateral faces; or some can be rectangles if not a cube), 12 edges, 8 vertices, matching the description.

For Question 8:

A triangular prism has two congruent triangular bases connected by rectangular faces, which matches the drawn figure.

Answer:

1. a) hexagonal prism
2. d) Rectangular prism/cuboid
3. c) Triangular Prism