Mathematics in Daily Life 17’th group. VIDEO.

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1 Mathematics in Daily Life 17’th group

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3 VIDEO

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5 National Monument ( MONAS )

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

7 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.

8 Monas at Night

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10 Puncak monas The tower of monas Pelataran bawah A B C

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13 Pyramid

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

16 Detail of Monas’s Measurement 5 m 6 m

17 5 m pyramid A B c E F G T P H O D 6 m 5 m 93 m

18 The surface area of monas’s tower Surface area big pyramid – surface area small pyramid V. Big pyramid= VA V. 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

19 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

20 Question Berapakah Luas Permukaan dan Volume dari Limas di samping ?