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Supriyadi, S.Pd. Gr
VOLUME
BANGUN RUANG
HAL.97-109
VOLUME BANGUN RUANG
KUBUS &
BALOK
Supriyadi, S.Pd. Gr
Supriyadi, S.Pd. Gr
VOLUME KUBUS
Rumus
rusuk
rusuk
rusuk
Volume kubus = rusuk x rusuk x rusuk
Volume kubus = r3
8 cm
8 cm
8 cm
contoh
Volume kubus = rusuk x rusuk x rusuk
= 8 cm x 8 cm x 8 cm
= 512 cm3
Supriyadi, S.Pd. Gr
VOLUME BALOK
Rumus
panjang
tinggi
lebar
Volume balok = panjang x lebar x tinggi
Volume balok = p x l x t
Rumus
10 cm
8 cm
5 cm
Volume balok = panjang x lebar x tinggi
= 10 cm x 5 cm x 8 cm
= 400 cm3
VOLUME BANGUN RUANG
PRISMA &
TABUNG
Supriyadi, S.Pd. Gr
Supriyadi, S.Pd. Gr
VOLUME PRISMA TEGAK SEGITIGA
Rumus
Volume Prisma = luas alas x tinggi
Volume Prisma =
1
2
a x t x T
tinggi
ala
s
Karena alasnya berbentuk
segitiga,
maka rumusnya luas segitiga =
1
2
a x t
contoh
Volume Prisma = luas alas x tinggi
Volume Prisma =
1
2
a x t x T
Volume Prisma =
1
2
8 cm x 5 cm x 15 cm = 300 cm3
8 cm
5 cm
8 cm
15 cm
5 cm
Supriyadi, S.Pd. Gr
VOLUME TABUNG
Rumus
Volume Tabung = luas alas x tinggi
Volume Tabung = 𝜋 x r2 x t
Karena alasnya berbentuk
lingkaran,
maka rumusnya luas lingkaran = 𝜋
x r2
ting
gi
r
Contoh
Volume Tabung = luas alas x tinggi
Volume Tabung = 𝜋 x r2 x t
Volume Tabung =
22
7
x 7 cm x 7 cm x 15 cm = 2.310 c
15
cm
7 cm
VOLUME BANGUN RUANG
LIMAS&
KERUCUT
Supriyadi, S.Pd. Gr
Supriyadi, S.Pd. Gr
VOLUME LIMAS SEGI EMPAT
Rumus
Volume limas segiempat =
1
3
x luas alas x tinggi
Volume limas segiempat =
1
3
x (p x l x t)
Karena alasnya berbentuk
segiempat,
maka rumusnya luas lingkaran = p
x l
Contoh
Volume limas segiempat =
1
3
x luas alas x tinggi
Volume limas segiempat =
1
3
x p x l x tinggi
Volume limas segiempat =
1
3
x [ 8 cm x 5 cm x 10 c
panjang
lebar
ting
gi
8 cm
5 cm
10
cm Volume limas segiempat =
1
3
x 400 cm3 = 133 cm3
Supriyadi, S.Pd. Gr
VOLUME KERUCUT
Rumus
Volume Kerucut =
1
3
x luas alas x tinggi
Volume Kerucut =
1
3
x (𝜋 x r2 x t)
Karena alasnya berbentuk
lingkaran,
maka rumusnya luas lingkaran =
𝜋 x r2
Contoh
Volume Kerucut =
1
3
x luas alas x tinggi
Volume Kerucut =
1
3
x (𝜋 x r2 x t)
Volume Kerucut =
1
3
x (
22
7
x 72 x 15)
Volume Kerucut =
1
3
x 2.310 cm3 = 770 cm3
r
ting
gi
7 cm
15
cm
VOLUME BANGUN RUANG
BOLA
Supriyadi, S.Pd. Gr
Supriyadi, S.Pd. Gr
VOLUME BOLA
Rumus
Volume Bola =
4
3
x luas alas x tinggi
Volume Bola =
4
3
x (𝜋 x r2 x r)
Contoh
Volume Bola =
4
3
x luas alas x tinggi
Volume Bola =
4
3
x (𝜋 x r3)
Volume Bola =
4
3
x (
22
7
x 73)
Volume Bola =
4
3
x 1.078 cm3 = 1.437,33 cm3
r
r
7 cm
7 cm
Volume Bola =
4
3
x (𝜋 x r3)
“TIADA KEAHLIANTANPA LATIHA
Supriyadi, S.Pd. Gr

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Volume kubus dan balok

  • 2. VOLUME BANGUN RUANG KUBUS & BALOK Supriyadi, S.Pd. Gr
  • 3. Supriyadi, S.Pd. Gr VOLUME KUBUS Rumus rusuk rusuk rusuk Volume kubus = rusuk x rusuk x rusuk Volume kubus = r3 8 cm 8 cm 8 cm contoh Volume kubus = rusuk x rusuk x rusuk = 8 cm x 8 cm x 8 cm = 512 cm3
  • 4. Supriyadi, S.Pd. Gr VOLUME BALOK Rumus panjang tinggi lebar Volume balok = panjang x lebar x tinggi Volume balok = p x l x t Rumus 10 cm 8 cm 5 cm Volume balok = panjang x lebar x tinggi = 10 cm x 5 cm x 8 cm = 400 cm3
  • 5. VOLUME BANGUN RUANG PRISMA & TABUNG Supriyadi, S.Pd. Gr
  • 6. Supriyadi, S.Pd. Gr VOLUME PRISMA TEGAK SEGITIGA Rumus Volume Prisma = luas alas x tinggi Volume Prisma = 1 2 a x t x T tinggi ala s Karena alasnya berbentuk segitiga, maka rumusnya luas segitiga = 1 2 a x t contoh Volume Prisma = luas alas x tinggi Volume Prisma = 1 2 a x t x T Volume Prisma = 1 2 8 cm x 5 cm x 15 cm = 300 cm3 8 cm 5 cm 8 cm 15 cm 5 cm
  • 7. Supriyadi, S.Pd. Gr VOLUME TABUNG Rumus Volume Tabung = luas alas x tinggi Volume Tabung = 𝜋 x r2 x t Karena alasnya berbentuk lingkaran, maka rumusnya luas lingkaran = 𝜋 x r2 ting gi r Contoh Volume Tabung = luas alas x tinggi Volume Tabung = 𝜋 x r2 x t Volume Tabung = 22 7 x 7 cm x 7 cm x 15 cm = 2.310 c 15 cm 7 cm
  • 9. Supriyadi, S.Pd. Gr VOLUME LIMAS SEGI EMPAT Rumus Volume limas segiempat = 1 3 x luas alas x tinggi Volume limas segiempat = 1 3 x (p x l x t) Karena alasnya berbentuk segiempat, maka rumusnya luas lingkaran = p x l Contoh Volume limas segiempat = 1 3 x luas alas x tinggi Volume limas segiempat = 1 3 x p x l x tinggi Volume limas segiempat = 1 3 x [ 8 cm x 5 cm x 10 c panjang lebar ting gi 8 cm 5 cm 10 cm Volume limas segiempat = 1 3 x 400 cm3 = 133 cm3
  • 10. Supriyadi, S.Pd. Gr VOLUME KERUCUT Rumus Volume Kerucut = 1 3 x luas alas x tinggi Volume Kerucut = 1 3 x (𝜋 x r2 x t) Karena alasnya berbentuk lingkaran, maka rumusnya luas lingkaran = 𝜋 x r2 Contoh Volume Kerucut = 1 3 x luas alas x tinggi Volume Kerucut = 1 3 x (𝜋 x r2 x t) Volume Kerucut = 1 3 x ( 22 7 x 72 x 15) Volume Kerucut = 1 3 x 2.310 cm3 = 770 cm3 r ting gi 7 cm 15 cm
  • 12. Supriyadi, S.Pd. Gr VOLUME BOLA Rumus Volume Bola = 4 3 x luas alas x tinggi Volume Bola = 4 3 x (𝜋 x r2 x r) Contoh Volume Bola = 4 3 x luas alas x tinggi Volume Bola = 4 3 x (𝜋 x r3) Volume Bola = 4 3 x ( 22 7 x 73) Volume Bola = 4 3 x 1.078 cm3 = 1.437,33 cm3 r r 7 cm 7 cm Volume Bola = 4 3 x (𝜋 x r3)