Solid Geometry

Student Expectations

7th Grade:7.3.6C Use properties to classify three-dimensional figures, including pyramids, cones, prisms, and cylinders.

Three Dimensions

Solid Geometry is the geometry of three-dimensional spaceIt is called three-dimensional, or 3D because there are three dimensions: width, depth and height.

Polyhedron

A geometric object with flat faces and straight edges.

a polyhedron is a three - dimensional figure made up of sides called faces, each face being a polygon.

Base

The lowest part. The surface that a solid object stands on, or the bottom line of a shape such as a triangle or rectangle.

Prism

A solid object that has two identical ends and all flat sides.The cross section is the same all along its length.The shape of the ends give the prism a name, such as "triangular prism“

It is a polyhedron.

Pyramid

A solid object where:

* The base is a polygon (a straight-sided shape)

* The sides are triangles which meet at the top (the apex).

It is a polyhedron.

Cylinder

A cylinder is a solid object with:* two identical flat circular or elliptical ends* and one curved side.

Cone

A solid (3-dimensional)

object that has a circular base and one vertex

Prisms & Pyramids

Type Examples Properties

Triangular Prism

●5 faces 2 triangular bases 3 rectangular faces●9 edges●6 vertices

Rectangular Prism

6 faces 2 rectangular bases 4 rectangular faces●12 edges●8 vertices

Cube

●6 faces 2 square bases 4 square faces●12 edges●8 vertices

Square Pyramid

●5 faces 1 square base 4 triangular faces●8 edges●5 vertices

Triangular Pyramid

●4 faces 1 triangular base 3 triangular faces●6 edges●4 vertices

Three Dimensional Figures with Curved Surfaces

Type Example Properties

Cylinder

●2 circular bases●1 curved surface

Cone●1 circular base

●1 curved surface●1 vertex

Sphere ●1 curved surface