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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 & Back Top & Bottom Left & Right

Rectangular Prism 6 “ 4 “ 5 “ How many sides? 6 Front & Back Top & Bottom Left & Right = 6  5 = 30 = 6  4 = 24 = 4  5 = 20

Rectangular Prism 6 “ 4 “ 5 “ How many sides? 6 Front & Back Top & Bottom Left & Right = 6  5 = 30 = 6  4 = 24 = 4  5 = 20 = 2  74 = 148 in 2 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 cm 2 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? 5 Two triangles Three rectangles 10’

Triangular Prism 6’ 5’ 10’ 2  : 2  ½ 6  5 = 30 S1 : 6  10 = 60 S2 : 5  10 = 50 S3 : ?  10 = ? How do you find this side?

Triangular Prism 6’ 5’ 10’ 2  : 2  ½ 6  5 = 30 S1 : 6  10 = 60 S2 : 5  10 = 50 S3 : ?  10 = ! Pythagorean Thm

Triangular Prism 6’ 5’ 10’ 2  : 2  ½ 6  5 = 30 S1 : 6  10 = 60 S2 : 5  10 = 50 S3 : ?  10 = 5 2 + 6 2 = c 2 25 + 36 = c 2 61 = c 2 7.810 = c

Triangular Prism 6’ 5’ 10’ 2  : 2  ½ 6  5 = 30 S1 : 6  10 = 60 S2 : 5  10 = 50 S3 : 7.810  10 = 78.10 TSA = 218.10 ft 2

Triangular Prism 6m 10m TSA? 25m

2  : 2  ½ 6  ? = ____ S1 : 10  25 = 250 S2 : 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 = 250 S2 : 10  25 = 250 S3 : 6  25 = 150 Triangular Prism 6m 10m 25m ! Pythagorean Thm

2  : 2  ½ 6  ? = ____ S1 : 10  25 = 250 S2 : 10  25 = 250 S3 : 6  25 = 150 Triangular Prism 6m 10m 25m 10 2 – 3 2 = a 2 100 – 9 = a 2 91 = a 2 9.539 = a

2  : 2  ½ 6  9.539 = 57.236 S1 : 10  25 = 250 S2 : 10  25 = 250 S3 : 6  25 = 150 TSA = 707.24 m 2 Triangular Prism 6m 10m 25m

Hexagonal Prism 5m TSA? 15m

Hexagonal Prism 5m How many sides? 15m

Hexagonal Prism 5m How many sides? 8 2 hexagons 6 rectangles 15m

Hexagonal Prism 5m 2 hexagons - 2 ½ ans 6 rectangles – 6 l  w 15m ? How do you get the apothem

Hexagonal Prism 5m 2 hexagons - 2 ½ ans 6 rectangles – 6 l  w 15m ! 30-60-90 triangle or Pythagorean thm

Hexagonal Prism 5m 2 hexagons - 2 ½ ans 6 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  5 6 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 = 129.904 6  5  15 = 450 TSA = 579.90m 2 15m ! 30-60-90 triangle or Pythagorean thm 2.5 The apothem is 2.5 

Cylinder 15m 5m What is the TSA?

Cylinder 15m 5m What 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 is the CIRCUMFERENCE of the circle.

Cylinder 15m 5m 2r2r

Cylinder 15m 5m 2 circles: 2   5 2 = 157.080 Rectangle: 2  5  15 = 471.239 TSA = 628.32

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