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Day 02 Surface Area of Triangular Prisms.notebook May 14, 2019 May 14, 2019 Aim : SWBAT find the surface area of triangular prisms. Do Now : Take out your homework & Front of Worksheet Homework : Page 6 (bottom) & Page 7 in the Unit 5C Packet ** Unit 5C Test is Thursday, May 23 rd **

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Day 02 ­ Surface Area of Triangular Prisms.notebook May 14, 2019

May 14, 2019

Aim: SWBAT find the surface area of triangular prisms.

Do Now: Take out your homework & Front of Worksheet

Homework: Page 6 (bottom) & Page 7 in the Unit 5C Packet

** Unit 5C Test is Thursday, May 23rd **

Day 02 ­ Surface Area of Triangular Prisms.notebook May 14, 2019

SA = 6s2

= 6 (6.2)2

= 230.64

SA = 230.64 in2

A  = lw A = 10 x 6A = 60 

A  = lw A = 10 x 6A = 60 

SA = top + bottom + front + back + side 1 + side 2 = 60 + 60 + 60 + 60 + 36 + 36 = 312

SA ≈ 312 mm2

side 1/side 2A  = lw A = 6 x 6A = 36 

top/bottom

front/back

Estimate FIRST!!6.2 6 5.7 6

Top

Front Side

≈ 6

≈ 6

Day 02 ­ Surface Area of Triangular Prisms.notebook May 14, 2019

A  = lw A = 12 x 3A = 36

A  = lw A = 12 x 5A = 60 

SA = top + bottom + front + back + side 1 + side 2 = 36 + 36 + 60 + 60 + 15 + 15 = 222

SA ≈ 222 in2

side 1/side 2A  = lw A = 5 x 3A = 15

top/bottom

front/back

Top

Back

Side

Estimate FIRST!!8.25 8

SA = 6s2

= 6 (8)2

= 384

SA = 384 cm2

≈ 8

Day 02 ­ Surface Area of Triangular Prisms.notebook May 14, 2019

Day 02 ­ Surface Area of Triangular Prisms.notebook May 14, 2019

2B + PH

B = Area of Base

P = Perimeter of the Base

H = Height of Prism

Day 02 ­ Surface Area of Triangular Prisms.notebook May 14, 2019

https://www.mathsisfun.com/definitions/triangular­prism.html

Triangular Prism

Day 02 ­ Surface Area of Triangular Prisms.notebook May 14, 2019

Day 02 ­ Surface Area of Triangular Prisms.notebook May 14, 2019

Day 02 ­ Surface Area of Triangular Prisms.notebook May 14, 2019

2 sides of the triangle

are same length so. . . 

2 of the rectangles are 

the same

1 2 3

Day 02 ­ Surface Area of Triangular Prisms.notebook May 14, 2019

Day 02 ­ Surface Area of Triangular Prisms.notebook May 14, 2019

Area of triangle base

12

12

A =    bh

A =    (6) (4)    

A = 12     

Area of rectangles 1 & 2

A =  lwA = (8) (5)    A = 40     

Area of rectangle 3

A =  lwA = (8) (6)    A = 48     

SA = 2 (area triangle base) + rectangle 1 + rectangle 2 + rectangle 3 = 2 (12) + 40 + 40 + 48 = 152 SA = 152 ft2

Day 02 ­ Surface Area of Triangular Prisms.notebook May 14, 2019

Day 02 ­ Surface Area of Triangular Prisms.notebook May 14, 2019

Area of triangle base

12

12

A =    bh

A =    (6) (4)    

A = 12     

Area of rectangles 1 & 2

A =  lwA = (8) (5)    A = 40     

Area of rectangle 3

A =  lwA = (8) (6)    A = 48     

SA = 2 (area triangle base) + rectangle 1 + rectangle 2 + rectangle 3 = 2 (12) + 40 + 40 + 48 = 152 SA = 152 ft2

Estimate FIRST!!7.9 8 10.3 1018.5 1912.7 13

triangle base

12

12

A =    bh

A =   (10)(8)    

A = 40    

rectangle 1

A =  lw

A = (19) (8)    

A = 152     

rectangle 2

A =  lw

A = (10) (19)    

A = 190     

rectangle 3

A =  lw

A = (19) (13)    

A = 247     

SA = 2 (area triangle base) + rectangle 1 + rectangle 2 + rectangle 3 = 2(40) + 152 + 190 + 247

= 669 SA ≈ 669 cm2

≈ 13

≈ 8≈ 10

≈ 19

Day 02 ­ Surface Area of Triangular Prisms.notebook May 14, 2019

Area of triangle base

12

12

A =    bh

A =    (9.9) (11.4)    

A = 56.43     

Area of rectangles 1 & 2

A =  lwA = (8.5) (25.2)    

A = 214.2     

Area of rectangle 3

A =  lw

A = (9.9) (25.2)    

A = 249.48     

SA = 2 (area triangle base) + rectangle 1 + rectangle 2 + rectangle 3

= 2(56.43) + 214.2 + 214.2 + 249.48

= 790.74SA = 790.74 cm2