Formule corpuri
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Formule corpuri

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Formule corpuri Document Transcript

  • 1. www.mateinfo.ro FORMULE - CORPURI GEOMETRICE I. POLIEDRE CUBUL PARALELIPIPEDUL DREPTUNGHIC Al = 4l 2 ; At = 6l 2 ; V = l 3 At = 2 ⋅ ( L ⋅ l + L ⋅ h + l ⋅ h ) ; V = L ⋅ l ⋅ h d f = l 2; d = l 3 d = L2 + l 2 + h 2 PRISMA REGULATĂ TRIUNGHIULARĂ PATRULATERĂ Al = Pb ⋅ h At = Al + 2 ⋅ Ab HEXAGONALĂ V = Ab ⋅ h PIRAMIDA REGULATĂ TRIUNGHIULARĂ Al = PATRULATERĂ Pb ⋅ a p 2 At = Al + Ab HEXAGONALĂ V= Ab ⋅ h 3
  • 2. www.mateinfo.ro TRUNCHIUL DE PIRAMIDĂ REGULATĂ TRIUNGHIULARĂ Al = PATRULATERĂ ( PB + Pb ) ⋅ at At = Al + AB + Ab 2 HEXAGONALĂ V= ( ht ⋅ AB + Ab + AB ⋅ Ab 3 II. CORPURI ROTUNDE CILINDRUL CONUL Al = π RG At = π R ( G + R ) Al = 2π RG At = 2π R ( G + R ) V= V =πR H 2 TRUNCHIUL DE CON At = π Gt ( R + r ) + π R + π r π Ht 2 2 V= ( R + r + Rr ) 3 3 SFERA Al = π Gt ( R + r ) 2 π R2 H 2 A = 4π R 2 4π R 3 V= 3 )