total surface area

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