1. Surface Area of Prisms and Cylinders 12.2 California State Standards 8, 9: Solve problems involving the surface area lateral area of geometric solids and COMMIT TO MEMORY THE NECESSARY FORMULAS.

2. definitions Prism Bases: two congruent, parallel polygons Lateral faces: parallelograms formed by connecting corresponding vertices of the bases. Altitude: the perpendicular distance between its bases. A prism is named for its bases Triangular Prism Rectangular Prism Pentagonal Prism

3. definition Regular Prism The bases are regular polygons The parallelogram faces are congruent

4. definition Right Prism The lateral faces are perpendicular to the bases Oblique Prism The lateral faces are not perpendicular to the bases

5. definitions Cylinder Bases: two congruent-parallel circles Lateral face: a rectangle connecting the bases Altitude: the perpendicular distance between its bases.

6. definitions Cylinder Right Cylinder: a segment joining the centers of the bases is perpendicular to the bases. right cylinder

7. definitions Surface Area The sum of the area of a polyhedron’s faces. how much wrapping paper is needed for a box Lateral area: the area of the lateral faces how much paint for the walls of a room.

8. example What would the polyhedron look like if laid flat? back front bottom left side right side left roof right roof The two-dimensional representation of a three-dimensional figure is called a NET.

9. example What would the cylinder look like laid flat? top bottom “ label ” Remember: this is called a NET.

10. example Find the surface area. 16 cm 4 cm 9 cm

11. example Find the surface area 4 m 8 m

12. example Find the surface area. 10 in 6 in