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Published byMadlyn Phelps Modified over 5 years ago

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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 & Back Top & Bottom Left & Right

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

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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

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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 cm 2 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? 5 Two triangles Three rectangles 10’

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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?

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

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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

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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

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Triangular Prism 6m 10m TSA? 25m

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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

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2 : 2 ½ 6 ? = ____ S1 : 10 25 = 250 S2 : 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 = 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

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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

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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? 8 2 hexagons 6 rectangles 15m

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

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

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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

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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

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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

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Cylinder 15m 5m What is the TSA?

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

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Cylinder 15m 5m 2r2r

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

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