Indlela yokuthola ivolumu cube ngezindlela ezahlukene

Uma sicabange amabhlogo izingane evamile sika, kulula ukuqonda ukuthi ungathola kanjani ivolumu cube. Ngokwamukela ngevolumu iqhuzu a cubic ivolumu isilinganiso, isibonelo, ngayinye decimeter cubic, siqala ukwakha cube esisodwa esikhulu. Egoqekayo isikwele "phansi" lokuqala, ezifana 4x4, kufanele abeke 4 ngaphezulu "phansi" bonke imiphetho cube yethu bayalingana. Ukulingana kuzo zonke izinhlangothi cube - ke mthetho main, okuyinto efakazela ukuthi phambi kithi cube.

Thola usayizi eyodwa ubuso square kalula, kudingeka kuphela uphindaphinde ububanzi nobude base, okungukuthi, ukwakha emaphethelweni esigcawini. Njengoba sithola imigqa embalwa - "izibuya", noma kunalokho, ematfuba abo ilandelana inani elilingana emaphethelweni cube, isikwele okuholela futhi iphindwe ukuphakama cube, okungukuthi, emphethweni waso. It kuvela, ngakho-ke, ukuthi thina eselwakha ubambo ngezinga lwesithathu, ngamanye amagama - e cube. Njengalo, kubonakala, thola ivolumu cube!

Kuyinto lapha futhi kuthatha igama lawo ukwakhiwa yombuso wesithathu - ". E cube" Okungukuthi, "cube" kuthatha kathathu ukuze wande inombolo ngokwalo - inkulumo ethi ngokwayo kakade isekelwe ekutholeni ikhambi lenkinga ivolumu cubic.

Kodwa uma usayizi emaphethelweni cube, okungukuthi, kolunye uhlangothi cube, ayaziwa, kodwa inikezwe usayizi omunye ubuso yayo indlela yokuthola ivolumu cube? Ingabe ungakwazi? It kuvela ukuthi kuba impela computable.

uhlangothi Ovundlile kumelwe abale isiqondiso efanayo elibonakalayo usifake cube, ukuthi kungenzeka ngezinga lwesithathu. Ukuze wenze kube sobala, sithola elinye cubic ubuso - kuzoba isikwele, isibonelo, PMNK, lapho MN - idayagonali, okuyinto kithi waziwa. Ukusebenzisa theorem kaPythagoras, vozvedom eyaziwa ukubaluleka ngokuphambeneyo e isikwele noma besigaba sesibili. Ngo unxantathu kwesokudla PMN MN ohlangothini iyona hypotenuse, nesikwele salo ilingana nenani lezinombolo of the nezinye izinhlangothi ezimbili, elalizokwakhiwa e isikwele.

Kodwa siyazi ukuthi imilenze - a ohlangothini ubuso square cube. Ngakho umphumela kufanele ihlukaniswe ezimbili, futhi ukuthola impande square. Lo mphumela kuyoba ulingana ecaleni - emaphethelweni cube. Manje umbuzo uwukuthi kanjani ukubala ivolumu cube isixazululekile ngendlela elula. Vele into nje yimani niqonde uhlangothi cube ngezinga yesithathu - futhi umphumela isobala.

Kaningi kuyenzeka ukuthi inkinga kukhona value, njengoba indawo omunye ubuso cube. Kulokhu kumele kuqala uthole ohlangothini square - ubuso cube. Kuyinto ngokwanele ukuthola impande skwele a yalendawo. Khona-ke, ukubaluleka ibalwa iyanda yi esengozini endaweni eyaziwa.

Ngezinye izikhathi kufanele nje kudingeka akwazi ukuthola ngevolumu cube, kodwa akukho usayizi, akukho izimbambo, akukho ndawo cube isandla. Nokho, uma lo msebenzi uye wanikeza ukwaziswa ezifana kwabantu kanye nesisindo, umbiko ungakwazi ukubala ngokuvele azalane ukubaluleka idatha: ukuminyana futhi mass. ivolumu Ukufuna izotholwa e umkhiqizo.

Futhi uma umuntu ayinazo yizilinganiso uqhubeka kanjani kulesi simo? Ekusebenteni, ngokuvamile zisebenzisa reception lelula, njengoba umbhapathizo umzimba in uketshezi. Ngakho indlela yokuthola ivolumu cube kungekho izinyathelo itheyiphu nababusi?

Udinga ngiyolinganisa ethile ketshezi ethangini, isibonelo, i-pan, ukugcwalisa phama. Bese kufika umthamo ukubeka kwelinye isitsha. Ukugxila cube ku uketshezi, kubalulekile ukuzama ukuqoqa wonke ketshezi slopping phezu. Khona-ke, ukulinganisa beaker noma usebe lwawo (kuya ngevolumu lamanani cube), ungenza isiphetho ngabantu ngevolumu cube - kuzoba ilingana nenani uketshezi ukuthi cube usuthathe indawo dive yakhe.

Ngeshwa, kuba nzima noma kungenzeki nhlobo ukukala ngale ndlela ngevolumu eside usayizi cubes. Kodwa kusukela ungafunda hhayi kuphela umthamo cube, kodwa izinto yanoma iluphi.

Zikhona nezinye amathuba okuthola ivolumu cubes. Ngokwesibonelo, ubude eyaziwayo diagonal cube (hhayi onqenqemeni!). Kuyaziwa ukuthi ifomula cube idayagonali umkhiqizo uzwakalise of imiphetho yayo impande skwele 3. Ngakho-ke, leli gebe idayagonali impande skwele 3 futhi bathole ubude onqenqemeni. Ngemva kwalokho, konke silula: yimani niqonde umphumela cube futhi uthole impendulo oyifunayo.