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Parallelepiped va piramida hajmi


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Parallelepiped va piramida hajmi


, âà âåêòîðëàðãà qóðèëãàí ïàðàëëåëåïèïåäíèíã hàæìè
Vïàð=­ .
, âà âåêòîðëàðãà qóðèëãàí ïèðàìèäàíèíã hàæìè

Vïèð=1/6 .


Ìèñîë. Ó÷ëàðè Î(0,0,0), À(5,2,0), Â(2,5,0) âà Ñ(1,2,4) íóqòàëàðäà áo’ëãàí ïèðàìèäàíèíã hàæìè, ÀÂÑ ¸qíèíã þçàñè âà øó ¸qqà òóøèðèëãàí ïåðïåíäèêóëÿð hèñîáëàíñèí.


Å÷èëèøè: , âà âåêòîðëàðíèíã ïðîåêöèÿëàðèíè òîïàéëèê
{-1,3,0}, {-4,0,4}, {-5,-2,0}



Vïèð=1/6  


Vïèð=-1/6 =-1/6(-60-24)=
84/6=14 êóá.á.

Äåìàê,
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