Uchburchakli muntazam piramidaning uchidagi tekis burchagi 90º ga teng. Bu piramidaning yon sirtini asos yuziga nisbatini toping

1. 
   Uchburchakli muntazam piramidaning uchidagi tekis burchagi 90º ga teng . Bu piramidaning uchidagi tekis burchagi 90º ga teng . Bu piramidaning yon sirtini asos yuziga nisbatini toping .
   

A) B) C) D)
2. Qirrasi kub yog’ining diagonaliga teng bo’lgan muntazam tetraedr hajmining shu kub hajmiga nisbatini toping.
A)3 B) C) D)
3. SHar o’q kesimi kvadrat bo’lgan silindr va konus berilgan silindr va konus bir xil asosga ega ,ularning balandliklari esa shar diametriga teng . Silindr , shar va konus hajmlari qanday nisbatda bo’ladi?
A) 3:1:2 B) 1:2:3 C) 3:2:1 D) 1:5:3
4. SHar sirti va hajmini mos ravishda unga tashqi chizilgan hamda o’q kesimi teng tomonli uchburchak bo’lgan konusning to’la sirti va hajmiga nisbatini toping.
A) 2:3 B) 3:2 C)9:4 D) 4:9
5.SHarga yasovchisi asosinining diametriga teng bo’lgan konus ichki chizilgan .Bu konus to’la sirtining shar sirtiga nisbatini toping.
A) 9:16 B) 16:9 C) 4:3 D) 3:4
6.Olti burchakli muntazam piramida bilan uch burchakli muntazam piramida asoslarining tomonlari teng,ularning apofemalari esa asoslarining tomonidan 2 marta katta shartida ularning hajmlari nisbatini toping.
A) B) C) D)
7.SHarga yasovchisi asosining diametriga teng bo’lgan konus ichki chizilgan .Bu konus to’la sirtining shar sirtiga nbsbatini toping.
A) 16:9 B)9:16 C) 3:16 D) 2:
8. SHar sirti va hajmini mos ravishda ichki chizilgan kubning sirtiga va hajmiga nisbatlarini toping.
A) :2 ; B) :2 ; : C) 2: ; D) :2 ;
9. SHarga asoslari tomonlarining nisbati m:n kabi bo’lgan to’rtburchakli muntazam kesik piramida tashqi chizilgan . Piramida va shar hajmlarining nisbatini toping.
A) B) C) D)
10.Balandligi asosining tomonidan 2 marta katta bo’lgan uchburchakli muntazam prizmaga shar tashqi chizilgan Uning hajmi prizma hajmiga qanday nbsbatda bo’linadi.
A) 27:64 B) 64:27 C) 64 :27 D) 32:
11. Balandligi h ga , asosining radiusi esa R ga teng bo’lgan konusga tashqi chizilgan shar sirtini aniqlang.
A) B) C) D)
12. Konus asosining radiusi R ga , uning yon sirti yoyilmasining uchidagi burchagi 90º ga teng . Konusning hajmini toping.
A) B) C) D)
13. Agar uchburchakli muntazam piramidaning uchidagi tekis burchagi 90º ga teng , asosisining yuzi S ga teng bo’lsa , uning yon sirtini toping.
A) S B) ) S C) ) S D) ) S
14. Konusning balandligi uning asosining diametriga teng . Konusning yuzini uning yon sirtiga nisbatini toping.
A) :5 B)2:1 C) :3 D)1:2
15. Muntazam tetraedrning kvadradrat shaklidagi kesimining yuzi m gat eng . Tetraedrning sirtini toping.
A) 2m B) m C) 4m D) 4m

16. Kubning muntazam oltiburchak shaklidagi kesimining yuzi Q gat eng .Kubning ro’la sirtini toping.

A) B) C) D)
17. Qirrasi a gat eng bo’lgan muntazam tetraedrning hajmini toping.
A) B) C) D)
18. Agar muntazam tetraedrning yog’iga tashqi chizilgan aylananing radiusi R gat eng bo’lsa , uning hajmini hisoblang.
A) B) C) D)
19.Uchburchakli piramidaning yon yonqlari o’zaro perpendikulyar , ularning yuzlari esa a ga teng.Piramidaning hajmini toping.
A) B) C) D)
20.Barcha qirralari a gat eng bo’lgan uchburchakli piramidaga ichki chizilgan sharning sirtini hisoblang.
A) B) C) D)
21.Konusning hajmini uning yon sirti S va asosining markazidan yasovchisigacha bo’lgan masofa r orqali ifodalang.
A) B) C) D)

22.Konusning balandligi uning asosining diametriga teng. Konus asosining yuzini uning yon sirtiga isbatini

toping.

A) B) C) D)5

23.Yuzi Q gat eng rombni uning biror tomoni atrofida aylanishidan hosil bo’lgan jismning sirtini hisoblang.
A) 2 Q B) Q C) 4 Q D) ) 8 Q
24. To’la sirti 48 sm bo’lgan to’g’ri burchakli prizmaning o’lchovlari x , y , va z dir . = bo’lsa , bu prizmaning hajmi necha?
A) 48 B) 56 C)64 D)96
25. Suv to’la bir kub shaklidagi idish ichiga bir shar tashlandi . SHarning radiusi necha sm?
A) 1 B) 2 C)3 D)4
26. Qirrasi a gat eng bo’lgan kub ustki yog’ining markazi kub asosining uchlari bilan tutashtirilgan . Hosil bo’lgan piramidaning to’la sirtini toping.
A) a B) a C) a D) a
27. Agar kubning diagonalidan u bilan kesishmaydigan qirragacha bo’lgan masofa d gat eng bo’lsa , uning hajmini toping.
A) 2d B) 2d C) 3 D) 2d
28. Radiusi R bo’lgan sharga oltiburchakli muntazam prizma tashqi chizilgan prizmaning to’la sirtini toping.
A)12R B) 12R C)12R D) 12R
29. SHarga asosining diagonallari a va b gat eng bo’lgan to’g’ri parallelepiped tashqi chizilgan .Bu parallelepiped tashqi chizilgan .Bu parallelepipedning to’la sirtini toping.
A) 2ab B)3ab C)4ab D)5ab
30. SHarga ostki asosining yuzi ustki asosining yuzidan a marta katta bo’lgan kesik konus tashqi chizilgan . Kesik konusning hafmi shar hajmidan necha marta katta?
A) B) C) D)
31.To’la sirtining yuzi 18 ga teng bo’lgan kubga tashqi chizilgan sharning radiusini toping.
A) B) C) D)
32. Hajmi 216 bo’lgan kubga ichki chizilgan shar sirtini yuzini toping.
A)14 B) 18 C)12 D)20
33. Kubning qirrasi 6 ga teng .Kubga ichki chizilgan sharning hajmini toping.
A)144 B)288 C)72 D)36
34. Silindrga shar ichki chizilgan silindrning hajmi 16 gat eng bo’lsa , sharning hajmini toping.
A) B) C) D)
35. Piramidaning hajmi 25 ga , unga ichki chizilgan sharning radiusi 1,5 ga teng . Piramidaning to’la sirtini toping.
A)20 B)25 C)15 D)30
36. Sferaning radiusi 40 uzaysa , sfera sirtining yuzi necha ko’payadi.
A) 40 B)80 C)20 D)96
37. Kubga ichki chizilgan silindrning hajmi unga ichki chizilgan konus hajmidan 3 ga ortiq. Kubning hajmini toping.
A) 6 B)12 C) D)36
38. Kubga ichki chizilgan silindrning hajmi 2 ga teng. SHu Kubga tashqi chizilgan sferaning yuzini toping.
A)14 B) 18 C)12 D)20
39.Yasovchisi 10 ga sosisining radiusai 8 ga teng bo’lgan konusga ichki chizilgan sharning radiusini toping.
A) B) C) D) )
40. Qirrasining uzunligi 8 ga teng bo’lgan kubning barcha uchlaridan o’tuvchi sferaning radiusini toping.
A) 136 B) 196 C) 172 D)144
41. Yasovchisi 5 ga , asosining diametric 6 ga teng bo’lgan konusga ichki chizilgan shar hajmini toping.
A) B) C) D)
42. O’q kesimining yuzi 10 ga teng bo’lgan silindrning hajmini toping.
A) 10 B)20 C) aniqlab bo’lmaydi D)5
43. Silindr o’q kesimining yuzi 4 ga teng . Yon sirtining yuzini toping.
A) 4 B) 8 C) 2 D) 7
44. Diagonallari gat eng bo’lgan kubning hajmini toping.
A) 2 B) C) D)
45. Kubning barcha qirralari yig’indisi 144. Uning sirtini yuzini toping.
A) 144 B)864 C) 224 D) 684
46. Muntazam tetraedrning qirrasi 2 ga teng. SHu tetraedrga tashqi chizilgan sharning radiusini toping.
A) B) C) D)
47 . SHarning radiusi 2 birlikka orttirilganda , to’la sirti 88 ga ortgan bo’lsa , hosil bo’lgan sharning radiusini toping.
A) 4 B) C)18 D)16
48. Konusni balandligi asosining diametriga teng. Konusni asos yuzi va to’la sirti yuziga nisbatini toping.
A) B) C) D)
49. Radiusi 4sm bo’lgan sharning markazidan 2 sm uzoqlikda joylashgan kesimning yuzasini toping.
A)12 B)8 C) 2 D) 2
50. Muntazam to’tburchakli piramidaning balandligi 6 sm , apofemasi 6,5 . Piramidaning asos yuzini toping.
A) 20 B)25 C) 24 D) 12
51. Uchburchakli piramidaning barcha yon qirralari bir- birigf perpendikulyar va a b c gat eng .SHu piramidaning hajmini toping.
A) B) C) D)
52. Silindr asosining radiusi 10 kichraytirilsa va balandligi 10 kattalashtirilsa , uning hajmi qanday o’zgaradi.
A) o’zgarmaydi B) 10,9 kamayadi C) 10,9 ortadi D) 1 kamayadi
53. Balandligi 4 ga teng bo’lgan tetraedrning hajmini toping.
A)8 B) 4 C) 2 D)16
54. Konusning yasovchisi 10 ga teng .Radiusi balandligidan 2 ga kichik .Konus hajmini toping.
A)144 B) 384 C)288 D)192
Javoblar:
1. B 2. A 3. C 4. D 5. A 6. A 7.B 8.D 9.A 10. C 11. B 12. D 13. B 14. A 15 .C 16.B 17 .A 18 .C 19. D 20. A 21. C 22. B 23.C 24.D 25.C 26. A 27. B 28. D 29. B 30. C 31. A 32. C 33.B 34.A 35. C 36.D 37.B 38.C 39.C 40.D 41.B 42.C 43.A 44.D 45. B 46.C 47.B 48.C 49.A 50 .B 51.C 52.B 53.A 54.C