Mathematics Education 2012 A State University Of Surabaya By Group 14 th Leny Fitryasari (123174012)...

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