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Soal + Jawaban Matematika Kelas 6

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Mari Belajar - Soal + Jawaban Matematika Kelas 6

1. Tentukan volume gabungan bangun ini!
Jawaban No. 1

Volume Balok
= p x l x t
= 11 x 7 x 20
= 1.540 cm³

Volume Kubus
= S³
= 7³
= 343 cm³

Volume gabungan = 1.540 + 343 = 1.883 cm³

2. Tentukan volume gabungan bangun ini! 
Jawaban No. 2

Volume Limas
= 1/3 x Luas Alas x tinggi
= 1/3 x 27 x 10 x (27-12)
= 1/3 x 27 x 10 x 15 
= 1/3 x 4.050
= 1.350 cm³

Volume Balok
= p x l x t
= 27 x 10 x 12
= 3.240 cm³

Volume gabungan = 4.590 cm³

3. Tentukan volume gabungan bangun ini!
Jawaban No. 3

Volume Tabung
= πx r x r x t
= 3,14 x 16/2 x 16/2 x 14
= 1/3 x 3,14 x 8 x 8 x 14
= 2.813,44 cm³

Volume Kerucut
= 1/3 x πx r x r x t
= 1/3 x 3,14 x 16/2 x 16/2 x 6
= 1/3 x 3,14 x 8 x 8 x 6
= 1/3 x 1.205,76
= 401,92 cm³ 

Volume gabungan = 2.813,44 + 401,92 = 3.215,36 cm³

Atau

Volume Tabung
= πx r x r x t
= 22/7 x 16/2 x 16/2 x 14
= 22/7 x 8 x 8 x 14
= 22 x 8 x 8 x 2
= 2.816 cm³

Volume Kerucut
= 1/3 x πx r x r x t
= 1/3 x 3,14 x 16/2 x 16/2 x 6
= 1/3 x 3,14 x 8 x 8 x 6
= 1/3 x 1.205,76
= 401,92 cm³ 

Volume gabungan = 2.816 + 401,92 = 3.217,92 cm³

4. Tentukan volume gabungan bangun ini! 
Jawaban No. 4

Volume Balok
= p x l x t
= 24 x 18 x 14
= 6.048 cm³ 

Volume Setengah Tabung
= 1/2 x πx r x r x t
= 1/2 x 3,14 x 18/2 x 18/2 x 24
= 1/2 x 3,14 x 9 x 9 x 24
= 1/2 x 6.104,16
= 3.052,08 cm³

Volume gabungan = 6.048 + 3.052,08 = 9.100,08 cm³ 

5. Tentukan volume gabungan bangun ini!
Jawaban No. 5

Volume Tabung
= πx r x r x t
= 3,14 x 40/2 x 40/2 x (40-30)
= 3,14 x 20 x 20 x 10
= 12.560 cm³

Volume Setengah Bola
= 1/2 x 4/3 × π× r³
= 1/2 x 4/3 x 3,14 x 40/2³
= 1/2 x 4/3 x 3,14 x 20³
= 2/3 x 3,14 x 8.000
= 16.746, 67 cm³

Volume gabungan = 12.560  + 16.746, 67 = 29.306,67 cm³


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