![Page 1: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/1.jpg)
Mathematics Education
2012 AState University Of
Surabaya
Mathematics Education
2012 AState University Of
Surabaya
By Group 14th Leny Fitryasari (123174012)
Muhammad Naufal Faris (123174229)
By Group 14th Leny Fitryasari (123174012)
Muhammad Naufal Faris (123174229)
Mathematics in Daily Life
![Page 2: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/2.jpg)
Do you know Bedugul lake????
![Page 3: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/3.jpg)
Bedugul LakeBedugul Lake
![Page 4: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/4.jpg)
Bedugul lake located in the village
Candikuning, Tabanan, Bali.
Bedugul lake located at a height of more than
1000 meters from the surface of the sea.
In the middle of the Bedugul lake, there is a
temple namely Ulun Danu temple.
![Page 5: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/5.jpg)
Ulun Danu TempleUlun Danu Temple
![Page 6: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/6.jpg)
Ulun Danu Temple is a temple located
in the village Candikuning, Tabanan,
Bali.
This temple was built in 1663 in several
islands.
This is the central praying temple to
the Sang Hyang Dewi Danu, for give
prosperity.
![Page 7: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/7.jpg)
Ulun Danu Temple while the tide
Ulun Danu Temple while low tide
![Page 8: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/8.jpg)
Ulun Danu Temple seen at
day
Ulun Danu Temple seen at evening
![Page 9: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/9.jpg)
Ulun Danu Temple as the symbol of our
money
![Page 10: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/10.jpg)
Bedugul Botanical Garden
![Page 11: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/11.jpg)
Ulun Danu Temple consist of trapezoids and pyramid
Trapezo
i
d
Pyramid
![Page 12: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/12.jpg)
TrapezoidTrapezoid Trapezoid is a quadrilateral which has one
pair of parallel side.
AB and CD is parallel.
AD and BC are hypotenuse.
a
b
![Page 13: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/13.jpg)
FormulaFormula
The surface area of
trapezoid
HeightSurface Area
The Parallel
Side
t
b
a
![Page 14: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/14.jpg)
One trapezoid of Ulun
Danu Temple at the
bottom side has AB =
5 m, CD = 3 m and
hypotenuse = 2m.
The surface area of
one trapezoid is
1 m 1 m
3 m
5 m
2 m2 m
D C
A B
2 m
1 m
t
![Page 15: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/15.jpg)
The surface area of
trpezoid
1 m
1 m
3 m
5 m
2 m
2 m
Because there are 4 trapezoid in the bottom
of Ulun Danu Temple, so the surface area of
4 trapezoid is
![Page 16: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/16.jpg)
D
BA
C
E
FG
PyramidPyramid Pyramid – A three dimensional figure that the base
is quadrilateral and the lateral face is triangle.
Vertex
HeightSlant Height
Perimeter
![Page 17: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/17.jpg)
FormulaFormulaThe Surface Area of
Pyramid
Surface Area
D
BA
C
E
L
B F
𝐿=12×𝑎×𝑡
Lateral Area
Base Perimete
r
Slant Heigh
t
Base Area
Lateral Area
![Page 18: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/18.jpg)
Pyramid of Ulun Danu
Temple has AB = 1 m,
EC = 1m.
The surface area of
pyramid is
t1 m
0,5 m
A
E
D C
B
F
![Page 19: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/19.jpg)
A
C
E
D
B
FG
The Surface Area of
PyramidL
B
![Page 20: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/20.jpg)
QuestionQuestion1. Calculate the surface area of the
pyramid with a perpendicular height 12
cm and base edge 10 cm.
![Page 21: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/21.jpg)
5 cm
12 cm
The Surface area of Pyramid
12 cm
5 cm
AnswerAnswer
![Page 22: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/22.jpg)
2. Calculate the hypotenuse of trapezoid if
given the surface area is 189 cm2.
18 cm
9 cm
![Page 23: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/23.jpg)
AnswerAnswerThe Surface area of trapezoid
18 cm
9 cm
9 cm
14 cm
![Page 24: Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012) Muhammad Naufal Faris (123174229) By Group 14 th Leny](https://reader036.vdocuments.site/reader036/viewer/2022062805/5697c00d1a28abf838cc96a3/html5/thumbnails/24.jpg)