Geo 11.1-11.3 Review

Front

What is a polyhedron?

Back

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

Front

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

Back

Use Euler's formula: V - E + F = 2, where V is vertices, E is edges, and F is faces.

Front

What is the formula for the volume of a pyramid?

Back

Volume = (1/3) * base area * height.

Front

What is a vertex in geometry?

Back

A vertex is a point where two or more edges meet.

Front

What is the formula for the volume of a cylinder?

Back

Volume = π * radius² * height.

Front

What is the relationship between the number of faces, vertices, and edges in a polyhedron?

Back

Euler's formula states that V - E + F = 2.

Front

How do you round a number to the nearest whole number?

Back

If the decimal is 0.5 or higher, round up; if it's less than 0.5, round down.

Front

What is the volume of a cylinder with a radius of 5 m and a height of 10 m?

Back

Volume = π * (5 m)² * (10 m) ≈ 785 m³.

Front

What is the difference between a face and an edge in a polyhedron?

Back

A face is a flat surface of the polyhedron, while an edge is a line segment where two faces meet.

Front

What is the volume of a pyramid with a base area of 12 m² and a height of 3 m?

Back

Volume = (1/3) * 12 m² * 3 m = 12 m³.