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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
Do you know Bedugul lake????
Bedugul LakeBedugul Lake
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.
Ulun Danu TempleUlun Danu Temple
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.
Ulun Danu Temple while the tide
Ulun Danu Temple while low tide
Ulun Danu Temple seen at
day
Ulun Danu Temple seen at evening
Ulun Danu Temple as the symbol of our
money
Bedugul Botanical Garden
Ulun Danu Temple consist of trapezoids and pyramid
Trapezo
i
d
Pyramid
TrapezoidTrapezoid Trapezoid is a quadrilateral which has one
pair of parallel side.
AB and CD is parallel.
AD and BC are hypotenuse.
a
b
FormulaFormula
The surface area of
trapezoid
HeightSurface Area
The Parallel
Side
t
b
a
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
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
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
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
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
A
C
E
D
B
FG
The Surface Area of
PyramidL
B
QuestionQuestion1. Calculate the surface area of the
pyramid with a perpendicular height 12
cm and base edge 10 cm.
5 cm
12 cm
The Surface area of Pyramid
12 cm
5 cm
AnswerAnswer
2. Calculate the hypotenuse of trapezoid if
given the surface area is 189 cm2.
18 cm
9 cm
AnswerAnswerThe Surface area of trapezoid
18 cm
9 cm
9 cm
14 cm