Mathematics in Daily Life

17’th group

• Siti Zubaidah Purwaning Arum(123174015)

• Fevri Dwi Cahyani(123174

VIDEO

National Monument ( MONAS )

Monas

• Tower or Monument• Height of Monas• The Construction of Monas

The Construction Was Built By 3 Steps :

a. First, on 1961/1962 – 1964/1965.

b.The second step was on 1966 – 1968.

c. The fanil step was 1969 – 1967.

Monas at Night

Monas at New Year

The parts of monas

Puncak monas

The tower of monas

Pelataran bawah

A

B

C

THE TOWER OF MONAS

Pyramid

A three dimensional figure that the base is quadrilateral and the lateral face is triangle

Picture of pyramid

The surface area’s formula of pyramid

Luas Permukaan = Luas Alas + 4 ( Luas Segitiga)Luas Permukaan = ( S x S ) + 4 ( ½ x a x t)

Detail of Monas’s Measurement

5 m

6 m

6 m

5 m

pyramid

A B

c

E F

G

T

P

H

O

D

6 m

5 m

93 m

The surface area of monas’s tower

Surface area big pyramid – surface area small pyramid

V. Big pyramid= VAV. Small pyramid= VB

V. pyramid = VA – VB=[1/3(L.alas)A x t A] – [(1/3L.alas) B x t B=[1/3(s Ax s A x t A) – 1/3(s B x s B x t B)]=1/3[((s A) 2 x t A) – ((s B) 2 x t B)]

A B

c

E F

G

T

P

H

O

L = La x 4(L. )

The base area

• Berdasarkan rumus diatas, maka volume tugu monas dapat dihitung sebagai berikut :

• V. pyramid =1/3 [((s A) 2 x t A) – ((s B) 2 x t B)]=1/3 [((6) 2 x 110) – ((5) 2 x 17)]=1/3[(36 x 110) –(25 x 17)]=1/3 [3960 – 425]=1/3 x 3535 m 3

=1178.3 m 3

Question

Berapakah Luas Permukaan dan Volume dari Limas di samping ?