Triangular Prism vs Daim duab peb sab Pyramid (Tetrahedron)
Hauv geometry, polyhedron yog geometric khoom nyob rau hauv peb qhov ntev nrog lub ntsej muag tiaj tus thiab cov npoo ncaj. Lub prism yog ib lub polyhedron nrog ib tug n-sided polygonal puag, ib tug zoo tib yam lub hauv paus ntawm lwm lub dav hlau thiab tsis muaj lwm yam parallelograms koom nrog sib raug zoo ntawm ob lub hauv paus.
Ib lub pyramid yog polyhedron tsim los ntawm kev sib txuas ntawm lub hauv paus polygonal thiab taw tes, uas yog hu ua apex. Lub hauv paus yog polygon thiab ob sab ntawm lub polygon txuas nrog lub apex los ntawm daim duab peb sab.
Triangular Prism
Ib daim duab peb sab prism yog ib qho prism nrog peb tog raws li nws lub hauv paus; i.e. qhov hla ntu ntawm cov khoom sib luag rau cov hauv paus yog daim duab peb sab ntawm txhua qhov chaw hauv cov khoom. Nws kuj tseem tuaj yeem suav tias yog pentahedron nrog ob sab ntawm qhov sib npaug rau ib leeg, thaum lub ntsej muag ib txwm rau peb lwm qhov chaw nyob hauv tib lub dav hlau (ib lub dav hlau uas txawv ntawm lub hauv paus dav hlau). Ob sab uas tsis yog lub hauv paus yog ib txwm duab plaub.
Lub prism tau hais tias yog prism txoj cai yog tias cov dav hlau ntawm lub hauv paus yog perpendicular mus rau lwm qhov chaw.
Lub ntim ntawm lub prism yog muab los ntawm
Volume=puag ncig × qhov siab
Nws yog cov khoom lag luam ntawm thaj tsam ntawm daim duab peb sab thiab qhov ntev ntawm ob lub hauv paus.
Daim duab peb sab Pyramid (Tetrahedron)
Ib daim duab peb sab pyramid yog ib yam khoom uas muaj cov duab peb sab nyob rau hauv tag nrho plaub sab. Nws yog hom yooj yim tshaj plaws ntawm cov pyramids. Nws tseem hu ua tetrahedron, uas kuj yog ib hom polyhedrons.
Nws tseem tuaj yeem suav tau tias yog ib qho khoom tsim los ntawm kev koom nrog cov kab los ntawm cov kab saum toj ntawm daim duab peb sab ntawm ib qho taw tes saum cov duab peb sab. Hauv cov ntsiab lus no, lub ntsej muag ntawm tetrahedron tuaj yeem yog cov duab peb sab sib txawv. Txawm li cas los xij, qhov feem ntau ntsib yog cov tetrahedron tsis tu ncua, uas muaj cov duab peb sab sib npaug raws li nws sab.
Lub ntim ntawm tetrahedron tuaj yeem tau txais los ntawm cov qauv hauv qab no.
Volume=(1/3) base area × height
Ntawm no qhov siab hais txog qhov kev ncua deb ntawm lub hauv paus thiab lub apex.
Vim nws daim duab ncaj qha los ntawm daim duab peb sab, cov tetrahedrons tso saib ntau yam zoo sib xws ntawm daim duab peb sab, xws li circumsphere, insphere, exspheres, thiab medial tetrahedron. Nws muaj cov chaw sib xws xws li circumcenter, incenter, excenters, Spieker center, thiab cov ntsiab lus xws li centroid.
Dab tsi yog qhov txawv ntawm Daim duab peb sab Prism thiab Daim duab peb sab Pyramid (Tetrahedron)?
• Ob daim duab peb sab prism thiab daim duab peb sab pyramid (Tetrahedron) yog polyhedrons, tab sis daim duab peb sab prism muaj peb tog raws li lub hauv paus ntawm lub prism nrog cov duab plaub, whereas lub tetrahedron muaj peb sab ntawm txhua sab.
• Yog li ntawd, daim duab peb sab prism muaj 5 sab, 6 vertices thiab 9 ntug thaum tetrahedron muaj 4 sab, 4 vertices thiab 6 ntug.
• Qhov chaw hla ntu raws tus axis los ntawm cov hauv paus tsis hloov hauv daim duab peb sab prism, tab sis nyob rau hauv lub tetrahedron qhov chaw hla ntu hloov pauv (tso nrog qhov kev ncua deb ntawm lub hauv paus) raws li axis perpendicular mus rau hauv paus.
• Yog tias lub tetrahedron thiab daim duab peb sab prism muaj tib daim duab peb sab li lub hauv paus thiab qhov siab tib yam, qhov ntim ntawm lub prism yog peb npaug ntawm qhov ntim ntawm tetrahedron.
