1. 11.2 and 11.4: Prisms and Cylinders

2. Prisms
Prism – A 3-dimensional figure with two congruent, parallel faces, called bases.
Lateral Faces – Faces that are not bases

3. Surface Area of Prisms bases lateral faces
Lateral Area – Sum of the areas of the lateral faces

4. Surface Area of Prisms bases lateral faces Regular Pentagon 12 in.

5. Surface Area of Prisms
THEOREM 11.1 – Surface Area of Prism The surface area of a prism is the sum of the lateral area and the area of the two bases.
4 in.
12 in.
Regular
Pentagon

6. Surface Area of Prisms
Find the surface area of the following prism.

7. Cylinders
Cylinder – A 3-dimensional figure with two congruent, parallel, circular bases.

8. Surface Area of Cylinder
THEOREM 11.2 – Surface Area of Cylinder The surface area of a cylinder is the sum of the lateral area and the area of the two bases.

9. Surface Area of Cylinders
Find the surface area of the following cylinder in terms of π.
4 in.
6 in.

10. Volume of Prisms 6 cm 12 cm 4 cm
THEOREM 11.6 – Volume of Prism The volume of a prism is the product of the area of a base and the height of the prism.

11. Volume of Cylinders
THEOREM 11.7 – Volume of Cylinder The volume of a cylinder is the product of the area of the base and the height of the cylinder.
Find the volume of the following cylinder in terms of π.

12. 11.2 and 11.4: Prisms and Cylinders
Homework:
p.612 #5-11
p.627 #4-6, 8-10, 15