Volume vs Area
Cov ntsiab lus ntim thiab cheeb tsam feem ntau hais los ntawm ntau tus neeg txawj ntse sib txawv; tej zaum lawv yuav yog lej, physicists, xib fwb, engineers, los yog tib neeg zoo tib yam. Lub ntim thiab thaj chaw muaj feem cuam tshuam rau ib leeg uas qee zaum qee tus neeg twv tsis meej pem txog lawv qhov kev siv.
Volume
ntim tuaj yeem txhais tau yooj yim raws li qhov chaw coj los ntawm qhov loj hauv peb qhov (3-D). Cov huab cua tshwj xeeb tuaj yeem muaj txhua yam: khoom, kua, roj lossis ntshav. Qhov ntim ntawm cov khoom yooj yim uas muaj cov duab tsis tshua yooj yim yog yooj yim los laij siv cov qauv lej ua ntej. Thaum nws los txog rau kev tshawb nrhiav qhov ntim ntawm ntau qhov nyuaj thiab tsis sib xws, nws yooj yim los siv cov khoom sib xyaw. Nyob rau hauv ntau zaus, xam qhov ntim muaj peb qhov sib txawv. Piv txwv li, ntim ntawm ib lub voos xwmfab yog qhov sib npaug ntawm qhov ntev, qhov dav thiab qhov siab. Yog li ntawd, tus qauv chav tsev rau ntim yog cubic meters (m 3). Tsis tas li ntawd, qhov ntsuas qhov ntsuas tau tuaj yeem qhia hauv litres (L), milliliters (ml) thiab pints.
Sib nrug los ntawm kev siv cov qauv thiab cov khoom sib xyaw, qhov ntim ntawm cov khoom siv nrog cov duab tsis zoo tuaj yeem txiav txim siab siv txoj kev hloov pauv kua.
Area
Thaj chaw yog qhov loj me ntawm ob qhov khoom. Rau cov khoom siv xws li cones, spheres, cylinders cheeb tsam txhais tau hais tias thaj chaw saum npoo uas npog tag nrho cov ntim ntawm cov khoom. Tus qauv chav tsev ntawm cheeb tsam yog square meters (m 2). Ib yam li ntawd, thaj tsam tuaj yeem ntsuas tau square centimeters (cm2), square millimeter (mm2), square feet (ft 2) thiab lwm yam. Muaj ntau zaus, thaj chaw suav yuav tsum muaj ob qhov sib txawv. Rau cov duab yooj yim xws li daim duab peb sab, lub voj voog thiab cov duab plaub muaj cov qauv tsim los suav cov cheeb tsam. Thaj tsam ntawm ib qho polygon tuaj yeem suav nrog siv cov qauv no los ntawm kev faib cov polygon rau hauv cov duab yooj yim. Tab sis xam qhov chaw saum npoo ntawm cov duab nyuaj yuav suav nrog ntau qhov sib txawv ntawm cov lej.
Qhov txawv ntawm Volume thiab Area yog dab tsi?
ntim piav qhia qhov chaw nyob los ntawm ib pawg, thaum thaj chaw piav qhia qhov loj me. Kev suav cov ntim ntawm cov khoom yooj yim yuav tsum muaj peb qhov sib txawv; hais rau lub voos xwmfab, nws xav tau ntev, dav thiab qhov siab. Tab sis, rau kev xam thaj tsam ntawm ib sab ntawm lub voos xwmfab yuav tsum tsuas yog ob qhov sib txawv; ntev thiab dav. Tshwj tsis yog thaj chaw saum npoo yog qhov sib tham, thaj chaw feem ntau cuam tshuam nrog 2-D khoom, qhov ntim suav txog 3-D khoom. Qhov sib txawv yooj yim yog muaj nrog cov qauv ntsuas rau cheeb tsam thiab ntim. Chav tsev ntawm cheeb tsam muaj tus exponent ntawm 2, thaum chav tsev ntawm ntim muaj ib tug exponent ntawm 3. Tsis tas li ntawd, thaum nws los txog rau kev xam ntawm cheeb tsam thiab ntim, ntim xam ntau nyuaj tshaj qhov cheeb tsam.
In luv:
Zaj vs Volume
• Lub ntim yog qhov chaw nyob los ntawm ib pawg, thaum thaj chaw yog qhov loj ntawm qhov nthuav dav.
• Cheeb Tsam feem ntau muaj tus lej 2 hauv nws chav, qhov ntim muaj tus lej 3.
• Feem ntau, ntim cuam tshuam nrog 3-D khoom, thaum cheeb tsam tsom rau 2-D khoom. (tshwj tsis yog thaj chaw saum npoo ntawm cov khoom siv)
• Volumes nyuaj rau suav dua thaj chaw.
