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Formule

Cubul. Formule. Notăm cu “a” latura cubului=>. A l =4a². A t =6a². V=a³. d cub =a√3. A b =a². d f =a√2. Problema rezolvată (1). Știind cã aria unei fețe a unui cub este egalã cu 25 dm², calculați: a) lungimea muchiei cubului; b) aria totalã a cubului; c) volumul cubului.

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Formule

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  1. Cubul Formule

  2. Notăm cu “a” latura cubului=> Al=4a² At=6a² V=a³ dcub=a√3 Ab=a² df=a√2

  3. Problema rezolvată (1) Știind cã aria unei fețe a unui cub este egalã cu 25 dm², calculați: a) lungimea muchiei cubului; b) aria totalã a cubului; c) volumul cubului. Rezolvare: a) Aria unei fețe este 25 dm²=>lungimea muchiei cubului=√25=5 (dm) b) At=6a² At =6*25=150 (dm²) c) V=a³ V=5³=125 (dm³).

  4. Problemarezolvată (2) Suma lungimilormuchiilorunuicubcuvolumul 64 cm³ este..... Rezolvare: V=a³=64 (cm³) l=³√64=4 (cm) 12*l=12*4=48 (cm).

  5. Problema rezolvată (3) Aflați aria totalã a unui cub știind cã suma lungimilor muchiilor este 120 cm. Rezolvare: 12*l=120 cm=>l=120/12=10 (cm) At=6a²; a=10 (cm) At=6*10²=6*100=600 (cm²).

  6. Bibliografie: http://www.iluzieoptica.com/data/media/3/cubul_necker.png http://www.edituracaba.ro/pdf-uri/Geometrie_6.pdf

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