1. Solid Geometry

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

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

4. Three-dimensional figures have faces, edges, and vertices
Three-dimensional figures have faces, edges, and vertices. A face - is a flat surface, and edge - is where two faces meet, and a vertex - is where three or more edges meet.

5. In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of lines through opposite edges of a cube.

6. 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.

7. 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.

8. 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.

9. 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.

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

11. Cone
A solid
(3-dimensional) object that has a circular base and one vertex

12. Prisms & Pyramids Triangular Prism Rectangular Prism Cube
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
Square Pyramid
1 square base
4 triangular faces
● 8 edges
● 5 vertices
Triangular Pyramid
● 4 faces
1 triangular base
3 triangular faces
● 6 edges
● 4 vertices

13. Three Dimensional Figures with Curved Surfaces
Type
Example
Properties
Cylinder
● 2 circular bases
● 1 curved surface
Cone
● 1 circular base
● 1 vertex
Sphere

14. Drawing a 3D Figure
3-dimensional objects can also be depicted as 2-dimensional drawings taken at different views. These representations are called orthogonal drawings. The 3-dimensional drawing at the left is represented by the 2-dimensional drawings from the top, front and right-side views.