Sakkiz burchakli muntazam prizmaning hajmi 8 m2 ga, uning balandligi esa 2,2 m ga teng. Bu prizmaning yon sirtini toping.
Limitni hisoblang.
Integralni hisoblang.
7-variant
Tenglamani yechimini toping.
Tengsizlikni yeching.
Kesilgan piramidaning asoslari ikkita muntazam sakkizburchakdan iborat. Kesilgan piramidaning balandligi 0,5 m ga teng; ostki asosining tomoni 0,4 m ga, ustki asosining tomoni esa 0,3 m ga teng. Kesilgan piramida butun piramidagacha to’ldirilgan. To’la piramidaning hajmini toping.
Limitni hisoblang.
Integralni hisoblang.
8-variant
Tenglamani yechimini toping.
Tengsizlikni yeching.
Og’ma parallelepiped yon qirrasining asos tekisligiga proyeksiyasi 5 dm ga, balandligi esa 12 dm ga teng. Yon qirraga perpendikulyar bo’lgan kesim yuzi 24 dm2 ga, diagonali 8 dm ga teng bo’lgan rombdan iborat. Parallelepipedning yon sirtini toping.
Limitni hisoblang.
Integralni hisoblang.
9-variant
Tenglamani yechimini toping.
Tengsizlikni yeching.
Uch burchakli to’g’ri prizma asosining yuzi 4 sm2 ga, yon yoqlarining yuzlari 9 sm2 , 10 sm2 va 17 sm2 ga teng. Prizmaning hajmini toping.
Limitni hisoblang.
Integralni hisoblang.
10-variant
Tenglamani yechimini toping.
Tengsizlikni yeching.
To’g’ri burchakli muntazam piramidaga kub shunday ichki chizilganki, uning to’rtta uchi piramidaning apofemalarida, to’rtta uchi esa asos tekisligida joylashgan. Piramidaning barcha qirralari o’zaro teng bo’lib, ularning uzunligi a ga teng. Kubning to’la sirtini toping.