Yuav ua li cas mus nrhiav tau lub ntim ntawm lub thawv?

Ua ntej peb tsiv mus nyob rau lub tswv yim yog ib feem ntawm qhov tsab xov xwm, qhov chaw uas peb yuav nrhiav qhov ntim ntawm lub box, cia peb nco ntsoov hais tias nws yog rau no daim duab, thiab kawm yog vim li cas cov suav peb yuav xav tau.

Muaj peb txhais cov ntsiab lus, thiab lawv yog cov tag nrho sib npaug. Piv txwv li, ib tug parallelepiped yog:

1. polyhedron muaj rau ib sab, txhua tus uas yog ib tug parallelogram.

2. hexagon, uas muaj peb officers ntawm ib sab thaum uas tig mus nrog txhua lwm yam.

3. Cov plaub uas nws puag yog ib tug parallelogram.

Feem ntau tej zaum ntau nyob rau hauv peb lub neej tiag tiag hom nyob rau hauv kev saib xyuas ntawm geometric duab - ib tug cuboid thiab cov thawv muaj rau sab. Nyob rau hauv tas li ntawd, cov txim hluav taws xob yog los ntawm tib neeg thiab oblique parallelepiped.

Cuboid: volume

Cuboid txawv yog hais tias txhua tus lub ntsej muag nws - nws yog ib tug duab plaub. Raws li ib tug neeg hauv tsev neeg piv txwv ntawm no qauv yuav ua ib qho box (ib tug khau, khoom plig, nqi xa ntawv).

Ua ntej peb yuav tau mus nrhiav rau qhov tseem ceeb ntawm lub ob sab ntawm lub hauv paus ntawm lub parallelepiped, uas yog cov txheej txheem ntawm perpendicular mus rau txhua lwm yam (nyob rau hauv lub dav hlau lawv hu ua dav thiab ntev).

P = A * B, qhov twg A - ntev B - dav.

Tam sim no peb ua kom lwm tus ntsuas - rau qhov siab ntawm ib tug muab daim duab, uas yuav tsum tau hu ua N.

Tab sis qhov yuav tsum tau npaum li cas peb tau kawm, yog hais tias peb muab lub qhov siab rau lub hauv paus cheeb tsam, xws li:

V = n * H.

Lub volume ntawm lub thawv ncaj

ncaj parallelepiped yus nyob rau hauv uas lub sab ntawm nws kev seevcev - voos vim lub fact tias lawv yog perpendicular mus rau lub hauv paus daim duab.

Lub volume yog xam nurses, qhov txawv tsuas yog hais tias lub qhov siab ntawm no - tsis muaj ib tug ntug ntawm lub thawv. Nyob rau hauv cov ntaub ntawv no nws yog ib tug kab uas txuas ob opposing ntsej muag perpendicular mus rau cov duab thiab nws puag.

Txij li thaum lub hauv paus ntawm koj parallelepiped yog ib tug parallelogram es ib tug duab plaub, ces lub mis rau tus muab xam ntawm lub hauv paus cheeb tsam yog dog dig complicated. nws yuav tam sim no saib nyob rau hauv no txoj kev:

P = A * B * kev txhaum (a) nyob rau A, B - ntev thiab, raws li, lub hauv paus dav, thiab "ib tug" - lub kaum sab xis uas lawv tsim nyob rau ntawm lawv kev sib tshuam.

Yuav ua li cas mus nrhiav tau lub ntim ntawm ib lub oblique?

Zij pom tau hais tias tej parallelepiped, uas yog tsis muaj txoj cai.

Vim lub fact tias lub ntsej muag ntawm cov nuj nqis yog tsis perpendicular mus rau lub hauv paus, koj yuav tsum xub nrhiav lub qhov siab. Txawj nws nyob rau hauv tib lub hneev taw (saib saum toj no mis), thiab koj tau tus nqi ntawm:

V = P H *, nyob qhov twg P - puag cheeb tsam, H - qhov siab.

Lub volume ntawm ib tug parallelepiped nrog square ntsej muag

Thawv muaj rau sab - yog ib lub parallelepiped, qhov rau lub ntsej muag ntawm txhua yam uas yog ib tug square. Li no cov cuab yeej ntawm daim duab - tag nrho cov npoo yog muaj sib npaug ntawm lawv tus kheej. Raws li ib qho piv txwv, xav txog tej yam tus me nyuam ua si raws li ntsuas.

Zoo, nws tag nrho cov heev tsuas nrhiav volume ntawm ib lub voos xwmfab. Ua li no, koj yuav tsum ua tsuas yog ib dimension (tav) thiab tsim kom muaj cov nqi tau nyob rau hauv lub thib peb degree. Ntawm no yog yuav ua li cas:

V = A³.

Raws li qhov ntim ntawm lub box yuav pab tau rau peb nyob rau hauv peb lub neej?

Xav hais tias hais tias koj yog puzzled by qhov teeb meem no, raws li tus xov tooj ntawm lub thawv uas muaj peev xwm yuav accommodated nyob rau hauv lub pob tw ntawm koj lub tsheb. Ua li no, koj yuav tsum rau sab caj npab rau lawv tus kheej nrog ib tug kav los yog kab xev ntsuas, cwj mem, ntawv ntawm daim ntawv, raws li zoo raws li lub saum toj no cov qauv rau xam qhov ntim ntawm ib tug cuboid.

By ntsuas lub ntim ntawm ib lub thawv, thiab txawj tus nqi los ntawm lub xov tooj ntawm koj uas twb muaj lawm mas, koj yuav kawm tau ntau npaum li cas cubic centimeters yog yuav tsum tau kev muab lawv nyob rau hauv lub pob tw ntawm lub tsheb.

Thiab muaj, nco ntsoov hais tias tej zaum nws yog advisable rau cubic centimeters yuav hloov dua siab tshiab rau hauv meters. Yog li ntawd, yog tias raws li ib tug tshwm sim uas koj tau txais qhov ntim ntawm ib lub thawv ntawm 50 cm lub voos xwmfab, ces hloov mus cia li muab qhov no daim duab los ntawm 0.001. Yog li ntawd koj tau txais ib cubic Meter. Thiab yog hais tias koj xav paub qhov volume nyob rau hauv litres, qhov tshwm sim nyob rau hauv cubic meters, muab los ntawm 1000.