HACİM VE ALAN HESAPLARI

15 / 11 / 2012 HACİM VE ALAN HESAPLARI 1  www.elektrobank.com.tr İSMİ ŞEKİL HACİM ALAN DİKDÖRTGEN PRİZMA V = a . b . c      A = 2(a . b + a . c + b . c) KÜP                                 d3 V = a3 = ------                2.828       A = 6 . a2 = 3d2 U = Altıgen çevresi PRİZMA A  = A1 . h         A1 = 2,598 . a A1 = AltIgen yüzey h = Yükseklik A = U . h + 2A1 A1 = 2,598 . a PİRAMİT                                           1 A = ----- . F.h                 3                           a2 hb =√ h2 + ------ L =                    4               a2 =√hb2 + -------                 4                      hbxa A =F +6 ( -------- )                         2 F = 2,598.a2  KONİ                    1 A = ------- F.h                  3 A = π.r.s +π.r2 S = √h2 +r2 KESİK KONİ                            π.h V = (R2 +r2 +R.r)  -----                             3 A = (R +r ).π.S +π (R2 +r2) S = √ h2 + (R −r )2 KÜRE                    4 V = ---- .π.r3                           3            V =4,189.r3                  V =0,5236.d3 A = 4 . π . r2               A = π . d2 KESİK KÜRE                                      2            V = -------  .π.r3                     3 A = 3π . r2                                      HACİM VE ALAN HESAPLARI  2 İSMİ ŞEKİL HACiM ALAN KÜRE PARÇASI               1 V =π.h2 (r − ---- . h)                3     a = 2π.r.h+π(2.r.h - h2)       A = π.h(4r - h) KESİK  SİLİNDİR                    h +h1    V = π r2 . ----------                       2      A= π.r.(h+h1)+F+f SİLİNDİR       V = π . r2 . h          A=2π.r.h+2π.r2 İÇİ BOŞ SİLİNDİR     V = π . h(R2 — r2)    A=2.π.h(R+r)+2π.(R2 - r2) SİLİNDİRİK HALKA              π.d 2      V = ---------  .π.D                 4         A = π . d . π . D