2. Solid Geometry

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

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

5. 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.

6. Polyhedron A geometric object with flat faces and straight edges.geometric a polyhedron is a three - dimensional figure made up of sides called faces, each face being a polygon. 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 TypeExamplesProperties 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

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

14. 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. Drawing a 3D Figure