1. 7 April 2011 Warm UP– silently please 1 ) HOMEWORK DUE NEXT CLASS: pg. 524: 1 – 22 just write your answer 2) WARM UP- Silently do handout on 10.1 terms THINK- 5 minutes independent PAIR- 5 minutes work with partner SHARE- whole class review

2. Objective Students will be able to define the basic vocabulary of polyhedrons and find the volume of prisms and cylinders. Homework Due TODAY 10 word cards

3. Solids Worksheet Find as many similarities and differences between pairs of figures as you can. Each group will be assigned one row or one column. Consider symmetry parallelism perpendicularity congruent parts

4. Volume: the measure of the amount of space contained in a solid the measure of the amount of space contained in a solid measured in cubic units (in 3, ft 3 ) measured in cubic units (in 3, ft 3 )

5. Volume = Surface Area  The sum of the areas of all the face  The ‘outside’ of the geometric figure  Use area formulas  Measured in square inches, square feet…  The measure of the amount of space contained in a solid  The ‘inside’ of the geometric figure  Use volume formulas  measured in cubic feet, cubic inches…

6. base or side??? base- which part is the base of each object? sides- which parts are the sides? What type of polygon forms the sides of each? prisms and cylinders each have TWO CONGRUENT and PARALLEL bases

7. So…… Prism: 2 congruent parallel bases bases are _____________ sides are _____________ Cylinder: 2 congruent parallel bases bases are ___________ side “unwrapped” is a _______________ Pyramid: one base that is a _____________ sides are ________________ Cone: 1 base that is a _____________

8. Geometric Solids 2 Bases 1 Base No Base 2 Bases 1 Base No Base Prisms & Cylinders Cones & pyramids Spheres Bases are congruent and parallel

9. Right Prism Lateraledge Lateralface height

10. Oblique Cylinder Altitude (segment) = height (length of segment) Right Cylinder Altitude Think of altitude of a plane--- it is the distance straight down to the ground Right Cylinder

11. Oblique Rectangular Prism Altitude = height altitude is the PERPENDICULAR line segment from a vertex or base to the plane of the opposite base

12. Term Definition Example Polyhedron: A solid formed by polygons (polygon-closed figure formed by line segments) Faces The flat polygonal surfaces of a polyhedron Base Two congruent, parallel faces of a prism or cylinder. The bottom of a pyramid or cone. Edge Vertex The segment where two faces intersect The point of intersection of three or more edges Tetrahedron Hexahedron Heptahedron Decahedron dodecahedron 4 sided polyhedron 6 sided polyhedron 7 sided polyhedron 10 sided polyhedron 12 sided polyhedron edge vertex

13. Name that part…. For your object--- identify its base(s) lateral edges lateral faces vertex / vertices

14. Review How can you identify an oblique pyramid from a right pyramid?

15. Classifying solids 3-D objects either have only flat faces or they have curved faces (all curved or curves mixed with flat surfaces) POLYHEDRONS FLAT FACESCURVED FACES Cones Cylinders Spheres Hemispheres Prisms Pyramids

16. thinking about volume Demonstration- What is the area of the base of the figure? To fill the space, we can STACK the cubes. The number of cubes in the bottom layer represents the area of the base. Investigation, pg. 531--- Find the volume of figures a, b and c.

17. Term Definition Example VolumeThe measure of the amount of space contained in a solid Measured in cubic units Prism/cylinder volume conjecture The volume of a prism or a cylinder is the area of the base multiplied by the height Volume = Area base x H Volume

18. Volume VOLUME = Area of the BASE x Height of object

19. What about if it is OBLIQUE?? Demonstration Stack of paper Stack of pennies