Total Surface Area
Total Surface Area. Rectangular Prism 6 “ 4 “ 5 “ What is the Total Surface Area?
Dec 17, 2015
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Total Surface Area
Rectangular Prism
6 “
4 “
5 “
What is the Total Surface Area?
Rectangular Prism
6 “
4 “
5 “
How many sides?
Rectangular Prism
6 “
4 “
5 “
How many sides? 6
Front & BackTop & BottomLeft & Right
Rectangular Prism
6 “
4 “
5 “
How many sides? 6
Front & BackTop & BottomLeft & Right
= 6 5 = 30= 6 4 = 24= 4 5 = 20
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
Rectangular Prism
What is the TSA?
10 cm
40 cm
8 cm
Rectangular Prism
10 8 = 80
10 40 = 400
40 8 = 320
= 2 800
TSA = 1600 cm2
10 cm
40 cm
8 cm
Triangular Prism
6’
5’
What is the TSA?
10’
Triangular Prism
6’
5’
How many sides?
10’
Triangular Prism
6’
5’
How many sides? 5Two trianglesThree rectangles
10’
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?
Triangular Prism
6’
5’ 10’
2: 2 ½ 6 5 = 30S1 : 6 10 = 60S2 : 5 10 = 50 S3 : ? 10 =
! Pythagorean Thm
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
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
Triangular Prism
6m
10m
TSA?
25m
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
2: 2 ½ 6 ? = ____S1 : 10 25 = 250S2 : 10 25 = 250 S3 : 6 25 = 150
Triangular Prism
6m
10m
25m
! Pythagorean Thm
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
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
Hexagonal Prism
5m
TSA?
15m
Hexagonal Prism
5m
How many sides?
15m
Hexagonal Prism
5m
How many sides? 82 hexagons6 rectangles
15m
Hexagonal Prism
5m
2 hexagons - 2 ½ ans6 rectangles – 6 l w
15m
? How do youget the apothem
Hexagonal Prism
5m
2 hexagons - 2 ½ ans6 rectangles – 6 l w
15m
! 30-60-90 triangle or Pythagorean thm
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
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
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
Cylinder
15m
5mWhat is the TSA?
Cylinder
15m
5mWhat does this look like“Cut” apart?
Cylinder
15m
Two circles and a rectangle
5m
What is the length of the rectangle?
Cylinder
15m
5m
The length of the rectangle isthe CIRCUMFERENCE of the circle.
Cylinder
15m
5m
2r
Cylinder
15m
5m
2 circles: 2 52 = 157.080
Rectangle: 2 5 15 = 471.239
TSA = 628.32
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