10-1 Polyhedrons

What is a polyhedron?

• A 2D shape with curved edges and vertices.

• A 3D shape with flat polygonal faces, straight edges, and vertices.

• A solid object with no edges or vertices.

• A shape that can only exist in a two-dimensional plane.

Name a polyhedron with 6 faces.

• Cube

• Pyramid

• Octahedron

• Hexahedron

How many faces does a triangular pyramid have?

• 3 (1 triangular base and 2 triangular sides)

• 4 (1 triangular base and 3 triangular sides)

• 5 (1 triangular base and 4 triangular sides)

• 6 (1 triangular base and 5 triangular sides)

What is the formula for finding the volume of a rectangular prism?

• Volume = length + width + height.

• Volume = length × width × height.

• Volume = length × width ÷ height.

• Volume = length - width + height.

What is a regular polyhedron?

• A shape with all sides of different lengths and angles.

• A three-dimensional shape with at least one curved surface.

• A regular polyhedron has all faces that are the same shape and size.

• A polyhedron that can be divided into two equal halves.

How many vertices does a cube have?

• 6

• 8

• 12

• 4

Can a polyhedron have curved surfaces?

• Yes, a polyhedron can have curved surfaces.

• No, a polyhedron must have flat surfaces.

• Some polyhedra can have curved surfaces.

• Only certain types of polyhedra can have curved surfaces.

What is the term for the line segment where two faces meet?

• Vertex

• Edge

• Face

• Corner

What is the difference between a triangular prism and a triangular pyramid?

• A triangular prism has two triangular faces and three rectangular faces, while a triangular pyramid has one triangular base and three triangular faces.

• A triangular prism has three triangular faces and two rectangular faces, while a triangular pyramid has two triangular bases and three rectangular faces.

• A triangular prism has one triangular base and three rectangular faces, while a triangular pyramid has two triangular faces and one rectangular face.

• A triangular prism has four triangular faces and one rectangular face, while a triangular pyramid has three triangular bases and two rectangular faces.

What shape is formed by connecting the midpoints of a cube's edges?

• A smaller cube.

• A sphere.

• A tetrahedron.

• A rectangular prism.