Prisms siffofi ne na geometric waɗanda ke da alaƙa don samun tushe guda biyu daidai gwargwado da fuskoki na gefe da ake kira parallelograms. Sanin yadda ake ƙididdige yanki na prism yana da mahimmanci kuma yana da mahimmanci don magance aikace-aikace a fagen ilimin lissafi, lissafi ko ma a rayuwar yau da kullun.
A labarin na gaba za mu gaya muku Ta yaya kuma ta yaya ake ƙididdige yanki na priism? kuma za mu nuna muku jerin misalai domin bayanin ya samu sauki da saukin fahimta.
Me ake nufi da prism
Kafin yin zuzzurfan tunani cikin kirga yanki na prism, yana da mahimmanci a sani da fahimtar tsarin sa. Siffar prism wani nau'i ne na geometric wanda ya ƙunshi tushe guda biyu iri ɗaya da fuskokin gefe waɗanda suke daidai da juna. Tushen na iya zama kowane nau'i, ko murabba'ai, rectangles ko triangles.
Ƙididdigar gabaɗaya na yanki na prism
Lokacin ƙididdige yanki na prism dole ne ku sani, a gefe ɗaya, yankin sansanonin biyu da yankin fuskokinsu na gefe. Ana ƙara wuraren biyu don ƙididdige jimlar yanki na prism. Ta wannan hanyar ana iya cewa tsarin gabaɗaya na yanki na prism shine kamar haka:
- Yankin Prism: 2 x yanki na tushe + yankin fuskokin gefe
- Don ƙididdige yanki na fuskokin gefe, Wajibi ne a san tsayin prism da kewayen tushe.
- Sannan ku ninka da tsawo sau kewaye da tushe.
Yadda za a lissafta yanki na prism rectangular
Prism na rectangular shine mafi kowa kuma na kowa. A cikin wannan priism tushe yana da rectangular kuma fuskokin gefen kuma maɗaukaki ne. Idan kana son lissafin yankinsa dole ne ka bi matakai masu zuwa:
- Da farko dai dole ne ku auna tsayi, faɗi da tsayin prism na rectangular.
- A wuri na biyu Dole ne ku lissafta yanki na tushe, Don yin wannan dole ne ku ninka tsawon ta nisa na priism.
- Na gaba dole ne ku lissafta wuraren fuskokin gefe: 2 x (tsawon + nisa) x tsayin priism.
- A ƙarshe, dole ne ku samu jimlar yanki na prism rectangular: 2 x yanki na tushe tare da yankin fuskokin gefe.
Misalin aiki na ƙididdige yanki na prism rectangular
Bari mu ba ku misali domin ya bayyana a gare ku. Yadda ake nemo jimlar yanki na prism tare da tushe rectangular:
- Prism na rectangular yana da ma'auni masu zuwa: tsawo (6 cm), nisa (4 cm) da tsawo (8 cm).
- Yankin tushe na prism na rectangular zai kasance kamar haka: 6 x 4 = 24 cm.
- Za a lissafta yankin fuskokin gefe kamar haka: 2 x (6+4) x 8=2 x 10 x 8 = santimita murabba'i 160.
- Jimlar yanki na prism na rectangular zai kasance: 2 x 24 +160 = 48 +160 = santimita murabba'i 208.
Ta wannan hanyar jimlar yanki na prism rectangular Zai zama kusan 208 square centimeters.
Yadda za a lissafta yanki na triangular prism
A triangular prism Yana da tushe a cikin siffar triangles da kuma fuskokin gefe masu daidaitawa. Don ƙididdige yanki na prism triangular dole ne ku bi matakai masu zuwa:
- Da farko dole ne ku auna tsayin bangarorin tushe da tsayin prism.
- Abu na biyu, dole ne mu lissafta yankin tushe: ½ x tushe x tsayi.
- Na gaba dole ne ku lissafta yankin fuskokin gefe: kewayen gindin tsayin prism x.
- A ƙarshe, jimlar yanki na triangular prism zai kasance kamar haka: 2 x yanki na tushe + yankin fuskokin gefe.
Misalin yadda ake ƙididdige yanki na prism triangular
Triangular prism yana da ma'auni masu zuwa: ɓangarorin tushen triangular (5cm, 12cm da 13cm) kuma tsayin kusan 10 cm.
- Da farko dole ne mu lissafta yankin tushe na triangular prism: (½) x 5 x10 = santimita murabba'i 25.
- Na biyu, dole ne mu lissafta kewayen triangle tushe: 5 + 12 + 13 = 30 centimeters.
- Abu na gaba shine a lissafta yankin fuskokin gefe: 30 x 10 = santimita murabba'i 300.
- A ƙarshe, ya rage don ƙididdige jimlar yanki na triangular prism: 2 x 25 + 300 = 50 + 300 = santimita murabba'i 350.
Ta wannan hanyar jimlar yanki na triangular prism Zai zama kusan 350 square centimeters.
A taƙaice, ƙididdige yanki na priism shine mabuɗin idan aka zo ga sanin gabaɗayan farfajiyar sa. Ko da kuwa ko tushen ku triangular ne, rectangular ko hexagonal, babban tsari don gano jimlar yanki. shine a lissafta yanki na sansanonin da yankin fuskokin gefe kuma a ƙara duka. Tsarin lissafin yanki ba shi da wahala sosai kuma yana da sauƙin yi, don haka ba za ku sami matsalolin wuce gona da iri ba yayin ƙididdige shi. Sanin yanki na prism sau da yawa yana da mahimmanci a fagen ilimin lissafi, gine-gine har ma a rayuwar yau da kullun.