2. Surface Area and Volume of Prisms Geometry Brent Mecham Rebecca Jung Gary Jonas Bryona Golding

3. Objectives 1. Identify the parts of a. prism 2. Find the lateral and total. surface area and volume. of a prism.

4. Prism Terms B = surface area of 1 of the bases L = lateral area - sum of each lateral face (doesn’t include area of bases) P = Perimeter h = height

5. Lateral Area = Perimeter x height height Perimeter Total Surface Area = +  Bases LA +

6. L = Ph h P T =Ph + BB B B

7. Example 10 4 3 Find the total surface area of the right quadrilateral prism. T = Ph + 2B T = 14(10) + 2(12) T = 140 + 24 T = 164

8. 12 4 3 Find the surface area of the prism. Surface Area = 192 sq. units T = Ph + 2B T = 14(12) + 2(12)

9. Volume = The amount of space in a figure V = Bh 7 12 7 49(12) 588 units 3 V = (Area of base) h