Sabtu, 27 April 2013

rumus bangun ruang 3 dimensi



Rumus Bangun Ruang 3 Dimensi
 RUMUS-RUMUS BAGUN 3 DIMENSI



1.KUBUS
ciri-ciri :
  • jumlah sisi/muka ada 6 buah
  • panjang tiap sisi itu sama
  • punya 8 titik sudut
  • punya 12 rusuk 
Description: https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhiyCF6TKaRu95qPJh2ZFM4nhXZO4qTqKSxP7CkgqVaJSShbUTecJrajzgbcvNEAf0WwvvxoG7Sthyphenhyphenwxqbvkm3kiLEnj1zivBim9Wy49fx3IjmqHjavE8jHUd_DtZIbcknQNBQPP7Njlao/s200/rubiks-cube.jpg
RUMUS-RUMUS=
Luas
Description: L = 6\cdot s.s
Volume


Description: V = \ s^3






2.BALOK

   ciri-ciri ;
Description: https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgj7Zu7C1vHCz0N5L7mHbenFkvHSd_dxJFcJQP7mcOFGiQBZfcwaY4zx0RMWCt_pHVJA47BY8B7NwWugVX6JiEIS7VkqR3ZFkJgOIQERE99Yf4bgmYI41w9n935BmG8AbWUZ2V8dNF1pFQ/s1600/220px-Balok1.JPG
  • jumlah sisi/muka ada 6 buah
  • punya 8 titik sudut
  • punya 12 rusuk
RUMUS-RUMUS =
Luas permukaan
Description: L = 2\cdot (p\cdot l + p\cdot t + l\cdot t)
 Volume
Description: V = p\cdot l \cdot t
Panjang diagonal ruang
Description: d_R = \sqrt{(s^2+s^2+s^2)}
 Panjang diagonal bidang
Description: d_{B1} = \sqrt{(s^2+s^2)}
Description: d_{B2} = \sqrt{(s^2+s^2)}
Description: d_{B3} = \sqrt{(s^2+s^2)}
 Luas bidang diagonal
Description: L_{B2} = d_{B2}\cdot l



Description: L_{B3} = d_{B3}\cdot p

C.LIMAS
Description: https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgU6eBEhtbIrO5-nPeP_UU07mDWtgBttJKF_oxY9o2oJnQZs3sbKdZggXIjcmoScwoJfSXfmgWPUPCJhEapDeCfwrDzfzYW5RMnmCQ8RFVKuOEu4iUf-JWBRdQOlC74mNU9R5xUNpKLCMY/s1600/220px-Limas.JPG
 RUMUS-RUMUS =
Luas permukaan
Luas permukaan limas dengan alas segi-n dapat dihitung dengan rumus berikut:
L = a + (n.t)
Catatan: yang diambil salah satu sisi tegaknya saja.
Volume

Description: V = \frac{1}{3}\cdot Luas Alas \cdot t

D.BOLA
Description: https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUuzHKVcWmtGHaGqOf2E4hidWsSshJrLA_2yAqc2BdroZpXP0zLyk8UlZmwST34XGI3nOZTf7hO7JZBnNWJ9sUjP9VnyZupm3MsvY-8L_uElYqnRo55RnZYwVYwr60lAZSbUq04XYZqrs/s200/H.jpg
RUMUS-RUMUS
Luas permukaan
Description: L = 4 \pi r^2 \,
Volume
Description: V = \frac{4}{3}\pi r^3

KET:   r= jari jari lingkaran




E.TABUNG
CIRI-CIRI
  • PUNYA 3 SISI
  • PUNYA 2 RUSUK

Description: https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjesOEUCiL6FZEUMwWNe0juYbRxXGl2by3nYrVIbSplXGs4H7djZ2hzFNAHxKfMauOFHKSFHXxO6HyAz6B52naJCdmtB9I_BaR9H6RORsvKDvGXKsLnWNX8yogqXY6H4ostnO3I4o-VAT4/s1600/images.jpgRUMUS-RUMUS=
Luas alas
L = πr2
Luas selimut
Description: L = 2 \ \pi r \ t
Luas permukaan
Description: L = 2\cdot LuasLingkaran + LuasSelimut
    Description:  = 2\cdot \pi r^2 + 2 \pi r \cdot t, atau
    Description:  = 2\cdot \pi r\cdot (r + t)
Volume
Description: V = \pi r^2 \cdot t
   Description: = \frac{1}{4} \pi d^2 \cdot t

KET:   r= jari jari lingkaran
          t = tinggi
          d= diameter

F.KERUCUT
RUMUS-RUMUS
Description: https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYtIj1EIltyIliP9N1H2ikNLD6Vsq6AvLCc4drYjqQLYfG1DhbFwR0zMGODYo154quIgZQI0Y9rMbv4BqiryUKJX_AO8NxrXLCegLsLtC2rAU64kGr875KIGae9L0feCzFZz3AFdEvndw/s1600/L.jpgLuas alas
L = πr2
Luas selimut
Description: L = \pi\ r\ s
Luas permukaan
Description: L = \ LuasLingkaran + LuasSelimut
    Description:  = \pi r^2 + \pi\cdot r\cdot s, atau
    Description:  = \pi r\cdot (r + s)
Volume
Description: V = \frac{1}{3}\cdot \pi r^2 \cdot t




KET:   r= jari jari lingkaran
          t = tinggi
          p = sisi miring

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