Unokufumana njani indawo yommandla wekhamera?

I-cube inezinto ezininzi ezinomdla eziphathekayo kwaye ziyaziwa ngabantu basezikhathini zasendulo. Abameli bezinye izikolo zaseGrike zasendulo babekholelwa ukuba iinqununu zeplastiki (i-atom) ezenza ihlabathi lethu ziyi-cube-shaped, kunye ne-mystics kunye ne-esotericists zize zenzele lo mboniso. Kwaye namhlanje, abameli be-parascience babonisa ukuba i-cube iyimimangaliso yamandla.

I-cube iyimifanekiso efanelekileyo, enye yeetlanzi ezinhlanu zePlato. Umzimba wePlato Ukulungelelanisa i-polyhedral ibinelisekile kwiimeko ezintathu:

1. Zonke iindawo zalo kunye nobuso zilingana.

2. Iipangele phakathi kobuso zilingana (i-cube ii-angles phakathi kobuso zilingana nama-90 degrees).

3. Zonke izandi zomfanekiso zichaphazela ubuso bomhlaba ochazwe ngeenxa zonke.

Inani elichanekileyo lala manani lalibizwa ngokuba yiMandulo yeGrike yeMathematika iTeethet Athenian, kwaye umfundi wePlato Euclid encwadini ye-13 ye-Origins wabanika inkcazelo ecacileyo yemathematika.

AmaGrike asendulo, athathwe ngoncedo lobungakanani bokuba achaza isakhiwo sehlabathi lethu, wanika imizimba kaPlato into enzulu ye-sacral. Bakholelwa ukuba nganye yamanani ibonakalisa ukuqala kwendalo: i-tetrahedron ngumlilo, i-cube ngumhlaba, i-octahedron yomoya, i-icosahedron ngamanzi, i-dodecahedron i-ether. Ummandla ochazwe kuwo ufuzisela ukugqibelela, umgaqo kaThixo.

Ngoko, i-cube, ebizwa nangokuthi i-hexahedron (ukusuka kwisiGrike "hex" - 6), isilinganisi sesithathu sejometri. Kwakhona kuthiwa yi-prism ehleliweyo okanye i-parallelepiped engxande.

I-cube inobuso obathandathu, iiplanga ezilishumi elinesibhozo kunye neendwangu ezisibhozo. Kulo nani, ungangena kwenye i- polyhedra eqhelekileyo: i- tetrahedron (i-tetrahedron enobuso obunobunxantathu), i-octahedron (i-octahedron) kunye ne-icosahedron (amashumi mabini).

I-diagonal yecube iyona nxalenye ehlangene namazwi angama-symmetric. Ukwazi ubude bomgca wecube, umntu unokufumana ubude be-diagonal v: v = a ^3.

Kwikhampu, njengoko kukhankanywe ngasentla, sinokungena kwindawo, kwaye irejista yombhalo obhaliweyo (echazwe ngu-r) iya kulingana nesiqingatha ubude bomda: r = (1/2) a.

Ukuba i-sphere ichazwa malunga nekhamera, ke i-radius yecandelo elichaziweyo (esiyichaza ngo-R) liya kuba: R = (3/2) a.

Ngokuqhelekileyo eziqhelekileyo iingxaki zesikolo: indlela yokubala indawo Umphezulu wekhamera? Kulula kakhulu, kuyacaca ukuba ucinge ityube. Umphezulu weksibhu uqukethe ubuso obathandathu ngendlela yeekwere. Ngako oko, ukuze ufumane indawo yendawo yecube, kufuneka uqale ukufumana indawo ebomnye ubuso kwaye uphinde wande ngeenombolo zabo: S _n = 6a ^2.

Ngokufanayo, njengoko sifumene nommandla wendawo yecube, balala indawo ebusweni bayo: S _b = 4a ^2.

Kule ndlela kubonakala ngokucacileyo ukuba ubuso obusondeleyo bekhambhu ziyizona ziseko, kwaye ezinye ezine ziyi-lateral surface.

Unokufumana indawo yendawo yecube enye indlela. Ukuqwalasela into yokuba i-cube i-parallelepiped yecangechunge, umntu unokusebenzisa imilinganiselo emithathu yendawo. Oku kuthetha ukuba i-cube, inomlinganiselo wesithathu, inemilinganiselo emithathu: ubude (a), ububanzi (b) nokuphakama (c).

Ukusebenzisa le parameters, sibala indawo yomhlaba wonke wekhampu: S _n = 2 (ab + ac + bc).

Ukubala indawo yendawo yecube yomhlaba, i-perimeter yesiseko kufuneka yanda ngokuphakama: S _b = 2c (a + b).

Umthamo wecube iyimveliso yamalungu amathathu-ubude, ubude nobubanzi:
= I-abc okanye ezintathu ezikufutshane: I-V = a- ^3.