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Total Surface Area
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Rectangular Prism
6 “
4 “
5 “
What is the Total Surface Area?
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Rectangular Prism
6 “
4 “
5 “
How many sides?
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Rectangular Prism
6 “
4 “
5 “
How many sides? 6
Front & BackTop & BottomLeft & Right
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Rectangular Prism
6 “
4 “
5 “
How many sides? 6
Front & BackTop & BottomLeft & Right
= 6 5 = 30= 6 4 = 24= 4 5 = 20
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Rectangular Prism
6 “
4 “
5 “
How many sides? 6
Front & BackTop & BottomLeft & Right
= 6 5 = 30= 6 4 = 24= 4 5 = 20
= 2 74
= 148 in2
Two of each side
TSA
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Rectangular Prism
What is the TSA?
10 cm
40 cm
8 cm
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Rectangular Prism
10 8 = 80
10 40 = 400
40 8 = 320
= 2 800
TSA = 1600 cm2
10 cm
40 cm
8 cm
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Triangular Prism
6’
5’
What is the TSA?
10’
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Triangular Prism
6’
5’
How many sides?
10’
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Triangular Prism
6’
5’
How many sides? 5Two trianglesThree rectangles
10’
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Triangular Prism
6’
5’ 10’
2: 2 ½ 6 5 = 30S1 : 6 10 = 60S2 : 5 10 = 50 S3 : ? 10 =
? How do you find this side?
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Triangular Prism
6’
5’ 10’
2: 2 ½ 6 5 = 30S1 : 6 10 = 60S2 : 5 10 = 50 S3 : ? 10 =
! Pythagorean Thm
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Triangular Prism
6’
5’ 10’
2: 2 ½ 6 5 = 30S1 : 6 10 = 60S2 : 5 10 = 50 S3 : ? 10 =
52 + 62 = c2
25 + 36 = c2
61 = c2 7.810 = c
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Triangular Prism
6’
5’ 10’
2: 2 ½ 6 5 = 30S1 : 6 10 = 60S2 : 5 10 = 50 S3 : 7.810 10 = 78.10 TSA = 218.10 ft2
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Triangular Prism
6m
10m
TSA?
25m
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2: 2 ½ 6 ? = ____S1 : 10 25 = 250S2 : 10 25 = 250 S3 : 6 25 = 150
Triangular Prism
6m
10m
25m
? How do you find the height
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2: 2 ½ 6 ? = ____S1 : 10 25 = 250S2 : 10 25 = 250 S3 : 6 25 = 150
Triangular Prism
6m
10m
25m
! Pythagorean Thm
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2: 2 ½ 6 ? = ____S1 : 10 25 = 250S2 : 10 25 = 250 S3 : 6 25 = 150
Triangular Prism
6m
10m
25m
102 – 32 = a2
100 – 9 = a2
91 = a2
9.539 = a
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2: 2 ½ 6 9.539 = 57.236S1 : 10 25 = 250S2 : 10 25 = 250 S3 : 6 25 = 150
TSA = 707.24 m2
Triangular Prism
6m
10m
25m
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Hexagonal Prism
5m
TSA?
15m
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Hexagonal Prism
5m
How many sides?
15m
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Hexagonal Prism
5m
How many sides? 82 hexagons6 rectangles
15m
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Hexagonal Prism
5m
2 hexagons - 2 ½ ans6 rectangles – 6 l w
15m
? How do youget the apothem
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Hexagonal Prism
5m
2 hexagons - 2 ½ ans6 rectangles – 6 l w
15m
! 30-60-90 triangle or Pythagorean thm
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Hexagonal Prism
5m
2 hexagons - 2 ½ ans6 rectangles – 6 l w
15m
! 30-60-90 triangle or Pythagorean thm
2.5
The apothem is 2.5
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Hexagonal Prism
5m
2 hex - 2 ½ 2.5 6 56 rect – 6 5 15
15m
! 30-60-90 triangle or Pythagorean thm
2.5
The apothem is 2.5
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Hexagonal Prism
5m
2 ½ 2.5 6 5 = 129.9046 5 15 = 450
TSA = 579.90m2
15m
! 30-60-90 triangle or Pythagorean thm
2.5
The apothem is 2.5
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Cylinder
15m
5mWhat is the TSA?
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Cylinder
15m
5mWhat does this look like“Cut” apart?
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Cylinder
15m
Two circles and a rectangle
5m
What is the length of the rectangle?
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Cylinder
15m
5m
The length of the rectangle isthe CIRCUMFERENCE of the circle.
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Cylinder
15m
5m
2r
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Cylinder
15m
5m
2 circles: 2 52 = 157.080
Rectangle: 2 5 15 = 471.239
TSA = 628.32