Lesson 11.1 Review - Space Figures and Cross Sections

Front

What is a polyhedron?

Back

A polyhedron is a three-dimensional shape with flat polygonal faces, straight edges, and vertices.

Front

What is Euler's Formula?

Back

Euler's Formula states that for any convex polyhedron, the relationship between the number of faces (F), vertices (V), and edges (E) is given by F + V = E + 2.

Front

How do you calculate the number of vertices in a polyhedron?

Back

You can calculate the number of vertices using Euler's Formula: V = E + 2 - F.

Front

What is the difference between edges and vertices in a polyhedron?

Back

Edges are the line segments where two faces meet, while vertices are the points where edges meet.

Front

How many edges does a cube have?

Back

A cube has 12 edges.

Front

How many faces does a tetrahedron have?

Back

A tetrahedron has 4 faces.

Front

What is a cross section?

Back

A cross section is the intersection of a solid and a plane, showing a two-dimensional shape of the solid.

Front

How many vertices does a triangular prism have?

Back

A triangular prism has 6 vertices.

Front

What is the formula to find the number of edges in a prism?

Back

The formula to find the number of edges in a prism is E = 3n, where n is the number of sides of the base polygon.

Front

How many faces does a cylinder have?

Back

A cylinder has 3 faces: 2 circular bases and 1 curved surface.