1. Surface Area and Volume of Prisms
Mr. Bench
PVMS

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

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

4. L = Ph
height
Perimeter
T = P h + 2B

5. Example T = Ph + 2B T = 14(10) + 2(12) T = 140 + 24 T = 164 43
Find the total surface area of the right quadrilateral prism.
T = Ph + 2B
T = 14(10) + 2(12)
T =
T = 164

6. Find the surface area of the regular oblique hexagonal prism.
T = Ph + 2B
B = 10.4 2 10
T = B
T =
T = 140.8

7. Find the surface area of the prism.
Quick Quiz 12 4 3
Find the surface area of the prism.
A = Ph + 2B
A = 14(12) + 2(12)
Surface Area = 192 sq. units

8. A = Ph + 2B A =(12)2 + 12 Quick Quiz3 4 2
Find the surface area of the right triangular prism. 5
A = Ph + 2B
A =(12)2 + 12
Surface Area = 36 sq. units

9. The amount of space in a figure
Volume
The amount of space in a figure 7 12
V = Bh
V = (Area of base) h
49(12)
588 units3

10. Volume V = Bh V = (1/2bh)h V = (1/2(15h)10 152 + h2 = 252 h = 20
V = 1500 units3 15