St. James Nets

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• ​A polyhedron is a closed three-dimensional figure made up of flat polygonal regions.

• A face of a polyhedron is a flat surface on the polyhedron​

• ​An edge of a polyhedron is a line segment where the faces of the polyhedron intersect.

• ​The vertex of a polyhedron is the intersection of three edges of the polyhedron.

• ​The bases of a prism or cylinder are the two parallel congruent faces of the solid.

• ​The base of a pyramid or cone is the face of the solid opposite the vertex of the solid.

​VOCAB - Add all this to your notes

9.1 Polyhedrons

A polyhedron is a 3D figure that is formed by polygons.

Examples of polyhedrons include a cube, prism, or pyramid. Non-polyhedrons are cones, spheres, and cylinders because they have sides that are not polygons.

Prisms are 3 dimensional figures that have polygons for bases that are parallel and congruent

​Prisms

A pyramid is a geometric figure that has a polygon base with sides that come to a point 1 base

• Triangular faces

• Names come from the bases

• Example: The square pyramid has one square base

​Pyramid

Prisms vs. Pyramids

A prism is a polyhedron with two congruent bases and the lateral sides are rectangles.

A pyramid is a polyhedron with one base and all the lateral sides meet at a common vertex.

Note: All prisms and pyramids are named by their bases.

Property of the solids

​Nets

9.2 Nets of 3D Shapes

A net is an unfolded, flat representation of the sides of a 3D shape.

Note: There are several different nets of any polyhedron.

Nets

• Nets are the unfolded version of a 3d figure.

• A net shows you all the different faces and base(s)

• We can use nets to help us calculate surface area

Nets of a cuboid

Nets of a cylinder