surface area of triangular prism 1
TRANSCRIPT
![Page 1: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/1.jpg)
Finding: Surface Area of Triangular Prism 1
- Mr Kim
![Page 2: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/2.jpg)
Surface Area of the following prisms will be explained in this
lesson
Starts from slide number 36
![Page 3: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/3.jpg)
Example 1
![Page 4: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/4.jpg)
9 m
16 m
11 m
12 m
![Page 5: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/5.jpg)
9 m
16 m
11 m
12 m
This is a Triangular Prism
![Page 6: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/6.jpg)
9 m
16 m
11 m
Triangular Prism has 5 faces
12 m
![Page 7: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/7.jpg)
1
![Page 8: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/8.jpg)
2
![Page 9: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/9.jpg)
3
![Page 10: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/10.jpg)
4
![Page 11: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/11.jpg)
5
![Page 12: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/12.jpg)
We must calculate the Total Area of all 5
Faces
![Page 13: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/13.jpg)
9 m
16 m
11 m
12 m
![Page 14: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/14.jpg)
9 m
16 m
11 m
12 m
Front Area is
![Page 15: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/15.jpg)
9 m
16 m
11 m
12 m
Front Area is
21
Always times by a half
for Triangles
![Page 16: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/16.jpg)
9 m
16 m
11 m
12 m
Front Area is
921
![Page 17: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/17.jpg)
9 m
16 m
11 m
12 m
Front Area is
11921
![Page 18: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/18.jpg)
9 m
16 m
11 m
12 m
Now, the Back Area is the same as the Front
so…
11921
![Page 19: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/19.jpg)
9 m
16 m
11 m
12 m
211921
Now, the Back Area is the same as the Front
so times by 2
![Page 20: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/20.jpg)
9 m
16 m12 m
11 m
Now we are going to find the Side Area
211921
![Page 21: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/21.jpg)
9 m
16 m12 m
211921
11 m
Now we are going to find the Side Area
![Page 22: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/22.jpg)
9 m
16 m12 m
211921
11 m
Make sure to add that on
![Page 23: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/23.jpg)
The Side Area is a Rectangle so just multiply
the numbers
9 m
16 m12 m
211921
11 m
![Page 24: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/24.jpg)
The Side Area is a Rectangle so just multiply
the numbers
9 m
16 m12 m
211921
11 m
16
![Page 25: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/25.jpg)
The Side Area is a Rectangle so just multiply
the numbers
9 m
16 m12 m
211921
11 m
1216
![Page 26: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/26.jpg)
9 m
16 m12 m
211921
11 m
But the other Side is the same as well so…
1216
![Page 27: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/27.jpg)
9 m
16 m12 m
211921
11 m
But the other Side is the same as well so
times by 2
21216
![Page 28: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/28.jpg)
9 m
16 m12 m
211921
11 m
Now we are going to find the Bottom Area
21216
![Page 29: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/29.jpg)
9 m
16 m12 m
211921
11 m
21216
Now we are going to find the Bottom Area
![Page 30: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/30.jpg)
9 m
16 m12 m
211921
11 m
21216
Make sure to add that on as well
![Page 31: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/31.jpg)
9 m
16 m12 m
211921
11 m
The Bottom Area is a Rectangle as well so
just multiply the numbers
21216
![Page 32: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/32.jpg)
9 m
16 m12 m
211921
11 m
21216
9
The Bottom Area is a Rectangle as well so
just multiply the numbers
![Page 33: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/33.jpg)
9 m
16 m12 m
211921
11 m
21216
169
The Bottom Area is a Rectangle as well so
just multiply the numbers
![Page 34: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/34.jpg)
9 m
16 m12 m
211921
11 m
Putting this altogether in the calculator
gives…
21216
169
![Page 35: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/35.jpg)
9 m
16 m12 m
211921
11 m
Putting this altogether in the calculator
gives…
212162627169 m
Our Final Answer!
![Page 36: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/36.jpg)
Example 2
![Page 37: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/37.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
![Page 38: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/38.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
Once again we need to calculate the Area of all
5 Faces
![Page 39: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/39.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
Front Area is
![Page 40: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/40.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
Front Area is
21
![Page 41: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/41.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
Front Area is
8721
![Page 42: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/42.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
And the Back Area is the same as the Front
so…
8721
![Page 43: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/43.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
28721
And the Back Area is the same as the Front
so times by 2
![Page 44: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/44.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
Now we are going to find the Right Side
Area
28721
![Page 45: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/45.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
Now we are going to find the Right Side
Area
28721
![Page 46: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/46.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
28721
Make sure to add that on
![Page 47: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/47.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
The Right Side is a Rectangle so just multiply
the numbers
28721
![Page 48: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/48.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
The Right Side is a Rectangle so just multiply
the numbers
28721
![Page 49: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/49.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
5.126.10
28721
The Right Side is a Rectangle so just multiply
the numbers
![Page 50: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/50.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
Now we are going to find the Left Side Area
5.126.10
28721
![Page 51: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/51.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
Now we are going to find the Left Side Area
28721
5.126.10
![Page 52: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/52.jpg)
7 cm
8 cm
28721
5.126.1012.5 cm
10.6 cm
Make sure to add that on
![Page 53: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/53.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
The Left Side is a Rectangle as well
28721
5.126.10
![Page 54: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/54.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
So the Left Side Area is
28721
5.126.10
![Page 55: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/55.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
So the Left Side Area is
28721
5.126.10
![Page 56: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/56.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
7
28721
5.126.10
So the Left Side Area is
![Page 57: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/57.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
So the Left Side Area is
7
28721
5.126.10
![Page 58: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/58.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
7
28721
5.126.10
If it’s 12.5 cm there
![Page 59: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/59.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
7
It’s 12.5 cm there as well
28721
5.126.1012.5 cm
![Page 60: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/60.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
5.127
28721
5.126.10
It’s 12.5 cm there as well
12.5 cm
![Page 61: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/61.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
5.127
Now finally, we need to find the Bottom Area
12.5 cm
28721
5.126.10
![Page 62: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/62.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
5.127
Now finally, we need to find the Bottom Area
12.5 cm
28721
5.126.10
![Page 63: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/63.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
5.127
12.5 cm
28721
5.126.10
Make sure to add that on
![Page 64: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/64.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
The Bottom Area is a Rectangle as well so just
multiply the numbers
5.127
12.5 cm
28721
5.126.10
![Page 65: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/65.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
The Bottom Area is a Rectangle as well so just
multiply the numbers
5.127
12.5 cm
28721
5.126.10
![Page 66: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/66.jpg)
7 cm
8 cm
12.5 cm
10.6 cm
5.1275.128
12.5 cm
28721
5.126.10
The Bottom Area is a Rectangle as well so just
multiply the numbers
![Page 67: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/67.jpg)
7 cm
8 cm
10.6 cm
5.1275.128
12.5 cm
Putting this altogether in the calculator
gives…
12.5 cm
28721
5.126.10
![Page 68: Surface Area of Triangular Prism 1](https://reader030.vdocuments.us/reader030/viewer/2022033101/58a0a1041a28ab9f758b63cb/html5/thumbnails/68.jpg)
7 cm
8 cm
10.6 cm
5.1275.128
12.5 cm
Putting this altogether in the calculator
gives…
2376cmOur Final Answer!
12.5 cm
28721
5.126.10