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Surface Area

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Surface Area What am I learning today? Surface Area How will I show that I learned it? Find the surface area of right rectangular prisms and cylinders by using ... – PowerPoint PPT presentation

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Title: Surface Area


1
Surface Area
2
  • What am I learning today?
  • Surface Area
  • How will I show that I learned it?
  • Find the surface area of right rectangular prisms
    and cylinders by using manipulatives,
    constructing nets, and using formulae.

3
What is surface area?
  • Surface area is the total area of all faces and
    surfaces of a solid figure. We abbreviate surface
    area as SA.

4
How do we find the SA of a rectangular prism from
its net?
5
What is the formula for SA of a rectangular prism?
  • SA (2 x l x w) (2 x w x h) (2 x l x h)

L 3 m w 2 m h 5 m SA (2
x l x w) (2 x w x h) (2 x l x h) SA (2 x 3
x 2) (2 x 2 x 5) (2 x 3 x 5) SA 12 20
30 SA 62 m2
6
You try it!
  • SA (2 x l x w) (2 x w x h) (2 x l x h)

L 4 ft w 5 ft h 8 ft SA
(2 x l x w) (2 x w x h) (2 x l x h) SA (2 x
4 x 5) (2 x 5 x 8) (2 x 4 x 8) SA 40 80
64 SA 184 ft2
7
How do we find the SA of a cube from its net?
8
What is the formula for SA of a cube?
  • SA 6s2

s 5 m SA 6 s2 SA 6 x 52 SA 6 x 25 SA
150 m2
9
You try it!
  • SA 6s2

s 7 in SA 6 s2 SA 6 x 72 SA 6 x 49 SA
294 in2
10
How do you find the SA of a cylinder from its net?
11
What is the formula for SA of a cylinder?
  • SA 2prh 2pr2

r 2 cm h 4 cm SA 2prh 2pr2 SA
(2 x 3.14 x 2 x 4) (2 x 3.14 x 22) SA (6.28
x 8) (6.28 x 4) SA 50.24 25.12 SA 75.36
cm2
12
You try it!
  • SA 2prh 2pr2

r 3 cm h 5 cm SA 2prh 2pr2 SA
(2 x 3.14 x 3 x 5) (2 x 3.14 x 32) SA (6.28
x 15) (6.28 x 9) SA 94.2 56.52 SA 150.72
cm2
13
Practice Problems
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