Understanding Solid Figures

1. Understanding Solid Figures 6.3.1.1 Calculate the surface area and volume of prisms and use appropriate units, such as cm2 and cm3. Justify the formulas used. Justification my involve decomposition, nets, or other models.

2. I can… • Classify solid (3D) figures • Identify edges, faces, and vertices Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

3. What is a solid figure? • A solid figure is a three-dimensional figure. • “Three- dimensional” means that the figure has measures in three directions, such as length, width, and height.

4. Examples of solid figures: cube sphere triangularprism triangular pyramid squarepyramid cylinder rectangularprism cone

5. What are the parts of a solid figure? • The face is the flat surface of a solid figure. • The vertex is the point where three or more edges of a solid figure meet. The vertex is sometimes called a corner. vertex • The edge is the line segment where two faces of a solid figure meet.

6. What are the parts of a solid figure? • The base is the face of a solid figure by which the figure is named. base

7. Some solid figures have a curved surface. cone cylinder curved surface

8. What’s the difference between a prism and a pyramid? A solid figure whose base is a polygon and whose other faces are triangles with a common vertex is a pyramid. These are pyramids.

9. What’s the difference between a prism and a pyramid? A solid figure whose ends are congruent, parallel polygons, and whose sides are rectangles is a prism. These are prisms.

10. Practice counting vertices: Remember to count the vertices that you can’t see. 8 0 4

11. Practice counting faces: Remember to count the faces that you can’t see. 4 6 1

12. Click on the solid figure described below. I have one base and one vertex. No, a cylinder has 2 bases. No, this pyramid has 4 vertices! Yes, a cone is correct.

13. Click on the solid figure described below. I have 6 square faces and 8 vertices. No, this prism does not have square faces. No, this pyramid has triangular faces. Yes, cube is correct!

14. I can… • Classify solid (3D) figures • Identify edges, faces, and vertices Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

15. 10.5 Notes face vertex