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Finding: Surface Area of
Triangular Prism 1
- Mr Kim
Surface Area of the following
prisms will be explained in this
lesson
Starts from slide number 36
Example 1
9 m
16 m
11 m
9 m
16 m
11 m
This is a Triangular
Prism
9 m
16 m
11 m
Triangular Prism
has 5 faces
1
2
3
4
5
We must calculate the
Total Area of all 5 Faces
9 m
16 m
11 m
9 m
16 m
11 m
Front Area is
9 m
16 m
11 m
Front Area is

2
1
Always times by a half
for Triangles
9 m
16 m
11 m
Front Area is
9
2
1

9 m
16 m
11 m
Front Area is
119
2
1

9 m
16 m
11 m
Now, the Back Area is
the same as the Front
so…
119
2
1

9 m
16 m
11 m
2119
2
1

Now, the Back Area is
the same as the Front so
times by 2
9 m
16 m
11 m
Now we are going to find
the Side Area
2119
2
1

9 m
16 m
2119
2
1

11 m
Now we are going to find
the Side Area
9 m
16 m
 2119
2
1
11 m
Make sure to add that on
The Side Area is a Rectangle
so just multiply the numbers
9 m
16 m
 2119
2
1
11 m
The Side Area is a Rectangle
so just multiply the numbers
9 m
16 m
 2119
2
1
11 m
16
The Side Area is a Rectangle
so just multiply the numbers
9 m
16 m
 2119
2
1
11 m
1216
9 m
16 m
 2119
2
1
11 m
But the other Side is the
same as well so…
1216
9 m
16 m
 2119
2
1
11 m
But the other Side is the
same as well so times by 2
21216 
9 m
16 m
 2119
2
1
11 m
Now we are going to find
the Bottom Area
21216 
9 m
16 m
 2119
2
1
11 m
21216 
Now we are going to find
the Bottom Area
9 m
16 m
 2119
2
1
11 m
 21216
Make sure to add that on
as well
9 m
16 m
 2119
2
1
11 m
The Bottom Area is a
Rectangle as well so just
multiply the numbers
 21216
9 m
16 m
 2119
2
1
11 m
 21216
9
The Bottom Area is a
Rectangle as well so just
multiply the numbers
9 m
16 m
 2119
2
1
11 m
 21216
169
The Bottom Area is a
Rectangle as well so just
multiply the numbers
9 m
16 m
 2119
2
1
11 m
Putting this altogether in
the calculator gives…
 21216
169
9 m
16 m
 2119
2
1
11 m
Putting this altogether in
the calculator gives…
 21216
2
627169 m
Our Final Answer!
Example 2
7 cm
8 cm
12.5 cm
7 cm
8 cm
12.5 cm
Once again we need to
calculate the Area of all
5 Faces
7 cm
8 cm
12.5 cm
Front Area is
7 cm
8 cm
12.5 cm
Front Area is

2
1
7 cm
8 cm
12.5 cm
Front Area is
87
2
1

7 cm
8 cm
12.5 cm
And the Back Area is the
same as the Front so…
87
2
1

7 cm
8 cm
12.5 cm
287
2
1

And the Back Area is the
same as the Front so
times by 2
7 cm
8 cm
12.5 cm
Now we are going to find
the Right Side Area
287
2
1

7 cm
8 cm
12.5 cm
Now we are going to find
the Right Side Area
287
2
1

7 cm
8 cm
12.5 cm
 287
2
1
Make sure to add that on
7 cm
8 cm
12.5 cm
The Right Side is a Rectangle
so just multiply the numbers
 287
2
1
7 cm
8 cm
12.5 cm
The Right Side is a Rectangle
so just multiply the numbers
 287
2
1
7 cm
8 cm
12.5 cm 5.126.10 
 287
2
1
The Right Side is a Rectangle
so just multiply the numbers
7 cm
8 cm
12.5 cm
Now we are going to find
the Left Side Area
5.126.10 
 287
2
1
7 cm
8 cm
12.5 cm
Now we are going to find
the Left Side Area
 287
2
1
5.126.10 
7 cm
8 cm
 287
2
1
 5.126.1012.5 cm
Make sure to add that on
7 cm
8 cm
12.5 cm
The Left Side is a
Rectangle as well
 287
2
1
 5.126.10
7 cm
8 cm
12.5 cm
So the Left Side Area is
 287
2
1
 5.126.10
7 cm
8 cm
12.5 cm
So the Left Side Area is
 287
2
1
 5.126.10
7 cm
8 cm
12.5 cm
7
 287
2
1
 5.126.10
So the Left Side Area is
7 cm
8 cm
12.5 cm
So the Left Side Area is
7
 287
2
1
 5.126.10
7 cm
8 cm
12.5 cm
7
 287
2
1
 5.126.10
If it’s 12.5 cm there
7 cm
8 cm
12.5 cm
7
It’s 12.5 cm there as well
 287
2
1
 5.126.10
12.5 cm
7 cm
8 cm
12.5 cm
5.127
 287
2
1
 5.126.10
It’s 12.5 cm there as well
12.5 cm
7 cm
8 cm
12.5 cm
5.127
Now finally, we need to
find the Bottom Area
12.5 cm
 287
2
1
 5.126.10
7 cm
8 cm
12.5 cm
5.127
Now finally, we need to
find the Bottom Area
12.5 cm
 287
2
1
 5.126.10
7 cm
8 cm
12.5 cm
 5.127
12.5 cm
 287
2
1
 5.126.10
Make sure to add that on
7 cm
8 cm
12.5 cm
The Bottom Area is a
Rectangle as well so just
multiply the numbers
 5.127
12.5 cm
 287
2
1
 5.126.10
7 cm
8 cm
12.5 cm
The Bottom Area is a
Rectangle as well so just
multiply the numbers
 5.127
12.5 cm
 287
2
1
 5.126.10
7 cm
8 cm
12.5 cm
 5.127
5.128
12.5 cm
 287
2
1
 5.126.10
The Bottom Area is a
Rectangle as well so just
multiply the numbers
7 cm
8 cm  5.127
5.128
12.5 cm
Putting this altogether in
the calculator gives…
12.5 cm
 287
2
1
 5.126.10
7 cm
8 cm  5.127
5.128
12.5 cm
Putting this altogether in
the calculator gives…
2
376cm
Our Final Answer!
12.5 cm
 287
2
1
 5.126.10

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Surface Area of Triangular Prism 1

  • 1. Finding: Surface Area of Triangular Prism 1 - Mr Kim
  • 2. Surface Area of the following prisms will be explained in this lesson Starts from slide number 36
  • 5. 9 m 16 m 11 m This is a Triangular Prism
  • 6. 9 m 16 m 11 m Triangular Prism has 5 faces
  • 7. 1
  • 8. 2
  • 9. 3
  • 10. 4
  • 11. 5
  • 12. We must calculate the Total Area of all 5 Faces
  • 14. 9 m 16 m 11 m Front Area is
  • 15. 9 m 16 m 11 m Front Area is  2 1 Always times by a half for Triangles
  • 16. 9 m 16 m 11 m Front Area is 9 2 1 
  • 17. 9 m 16 m 11 m Front Area is 119 2 1 
  • 18. 9 m 16 m 11 m Now, the Back Area is the same as the Front so… 119 2 1 
  • 19. 9 m 16 m 11 m 2119 2 1  Now, the Back Area is the same as the Front so times by 2
  • 20. 9 m 16 m 11 m Now we are going to find the Side Area 2119 2 1 
  • 21. 9 m 16 m 2119 2 1  11 m Now we are going to find the Side Area
  • 22. 9 m 16 m  2119 2 1 11 m Make sure to add that on
  • 23. The Side Area is a Rectangle so just multiply the numbers 9 m 16 m  2119 2 1 11 m
  • 24. The Side Area is a Rectangle so just multiply the numbers 9 m 16 m  2119 2 1 11 m 16
  • 25. The Side Area is a Rectangle so just multiply the numbers 9 m 16 m  2119 2 1 11 m 1216
  • 26. 9 m 16 m  2119 2 1 11 m But the other Side is the same as well so… 1216
  • 27. 9 m 16 m  2119 2 1 11 m But the other Side is the same as well so times by 2 21216 
  • 28. 9 m 16 m  2119 2 1 11 m Now we are going to find the Bottom Area 21216 
  • 29. 9 m 16 m  2119 2 1 11 m 21216  Now we are going to find the Bottom Area
  • 30. 9 m 16 m  2119 2 1 11 m  21216 Make sure to add that on as well
  • 31. 9 m 16 m  2119 2 1 11 m The Bottom Area is a Rectangle as well so just multiply the numbers  21216
  • 32. 9 m 16 m  2119 2 1 11 m  21216 9 The Bottom Area is a Rectangle as well so just multiply the numbers
  • 33. 9 m 16 m  2119 2 1 11 m  21216 169 The Bottom Area is a Rectangle as well so just multiply the numbers
  • 34. 9 m 16 m  2119 2 1 11 m Putting this altogether in the calculator gives…  21216 169
  • 35. 9 m 16 m  2119 2 1 11 m Putting this altogether in the calculator gives…  21216 2 627169 m Our Final Answer!
  • 38. 7 cm 8 cm 12.5 cm Once again we need to calculate the Area of all 5 Faces
  • 39. 7 cm 8 cm 12.5 cm Front Area is
  • 40. 7 cm 8 cm 12.5 cm Front Area is  2 1
  • 41. 7 cm 8 cm 12.5 cm Front Area is 87 2 1 
  • 42. 7 cm 8 cm 12.5 cm And the Back Area is the same as the Front so… 87 2 1 
  • 43. 7 cm 8 cm 12.5 cm 287 2 1  And the Back Area is the same as the Front so times by 2
  • 44. 7 cm 8 cm 12.5 cm Now we are going to find the Right Side Area 287 2 1 
  • 45. 7 cm 8 cm 12.5 cm Now we are going to find the Right Side Area 287 2 1 
  • 46. 7 cm 8 cm 12.5 cm  287 2 1 Make sure to add that on
  • 47. 7 cm 8 cm 12.5 cm The Right Side is a Rectangle so just multiply the numbers  287 2 1
  • 48. 7 cm 8 cm 12.5 cm The Right Side is a Rectangle so just multiply the numbers  287 2 1
  • 49. 7 cm 8 cm 12.5 cm 5.126.10   287 2 1 The Right Side is a Rectangle so just multiply the numbers
  • 50. 7 cm 8 cm 12.5 cm Now we are going to find the Left Side Area 5.126.10   287 2 1
  • 51. 7 cm 8 cm 12.5 cm Now we are going to find the Left Side Area  287 2 1 5.126.10 
  • 52. 7 cm 8 cm  287 2 1  5.126.1012.5 cm Make sure to add that on
  • 53. 7 cm 8 cm 12.5 cm The Left Side is a Rectangle as well  287 2 1  5.126.10
  • 54. 7 cm 8 cm 12.5 cm So the Left Side Area is  287 2 1  5.126.10
  • 55. 7 cm 8 cm 12.5 cm So the Left Side Area is  287 2 1  5.126.10
  • 56. 7 cm 8 cm 12.5 cm 7  287 2 1  5.126.10 So the Left Side Area is
  • 57. 7 cm 8 cm 12.5 cm So the Left Side Area is 7  287 2 1  5.126.10
  • 58. 7 cm 8 cm 12.5 cm 7  287 2 1  5.126.10 If it’s 12.5 cm there
  • 59. 7 cm 8 cm 12.5 cm 7 It’s 12.5 cm there as well  287 2 1  5.126.10 12.5 cm
  • 60. 7 cm 8 cm 12.5 cm 5.127  287 2 1  5.126.10 It’s 12.5 cm there as well 12.5 cm
  • 61. 7 cm 8 cm 12.5 cm 5.127 Now finally, we need to find the Bottom Area 12.5 cm  287 2 1  5.126.10
  • 62. 7 cm 8 cm 12.5 cm 5.127 Now finally, we need to find the Bottom Area 12.5 cm  287 2 1  5.126.10
  • 63. 7 cm 8 cm 12.5 cm  5.127 12.5 cm  287 2 1  5.126.10 Make sure to add that on
  • 64. 7 cm 8 cm 12.5 cm The Bottom Area is a Rectangle as well so just multiply the numbers  5.127 12.5 cm  287 2 1  5.126.10
  • 65. 7 cm 8 cm 12.5 cm The Bottom Area is a Rectangle as well so just multiply the numbers  5.127 12.5 cm  287 2 1  5.126.10
  • 66. 7 cm 8 cm 12.5 cm  5.127 5.128 12.5 cm  287 2 1  5.126.10 The Bottom Area is a Rectangle as well so just multiply the numbers
  • 67. 7 cm 8 cm  5.127 5.128 12.5 cm Putting this altogether in the calculator gives… 12.5 cm  287 2 1  5.126.10
  • 68. 7 cm 8 cm  5.127 5.128 12.5 cm Putting this altogether in the calculator gives… 2 376cm Our Final Answer! 12.5 cm  287 2 1  5.126.10