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Surface Area and Volume of Prisms. Geometry Brent Mecham Rebecca Jung Gary Jonas Bryona Golding. Objectives. 1. Identify the parts of a . prism. 2. Find the lateral and total . surface area and volume . of a prism. B = surface area of 1 of the bases. P = Perimeter.

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surface area and volume of prisms
Surface Area and Volume of Prisms

Geometry

Brent Mecham

Rebecca Jung

Gary Jonas

Bryona Golding

objectives
Objectives

1. Identify the parts of a . prism

2. Find the lateral and total . surface area and volume . of a prism.

prism terms

B = surface area of 1 of the bases

P = Perimeter

h = height

Prism Terms

L = lateral area - sum of each lateral face (doesn’t include area of bases)

slide4

height

Perimeter

Lateral Area = Perimeter x height

+

Total Surface Area =

2Bases

LA +

slide5

h

P

L = Ph

B

B

T =

P

h

+

2B

example

4

Find the total surface area of the right quadrilateral prism.

10

3

Example

T = Ph + 2B

T = 14(10) + 2(12)

T = 140 + 24

T = 164

slide7

Find the surface area of the prism.

12

3

4

Quick Quiz

T = Ph + 2B

T = 14(12) + 2(12)

Surface Area = 192 sq. units

slide8

7

12

7

Volume =

The amount of space in a figure

V = Bh

V = (Area of base) h

49(12)

588 units3