Math · Drill 49

Math practice 49

79 questions ~15 min recommended

⏱ 00:00

Score

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1. A rectangular prism has dimensions 5 units by 4 units by 3 units. What is the surface area of the prism?

A. 72 square units

B. 94 square units

C. 120 square units

D. 60 square units

2. A cone has radius 3 units and height 12 units. What is the volume of the cone?

A. $$108$ cubic units

B. $$108\pi$ cubic units

C. $$36\pi$ cubic units

D. $$144\pi$ cubic units

3. A rectangular fish tank has a base measuring 12 inches by 10 inches. When a rock is fully submerged, the water level rises exactly 2 inches. What is the volume of the rock, in cubic inches?

A. 24

B. 120

C. 240

D. 480

4. A cone has radius 3 units and height 12 units. What is the volume of the cone?

A. $$36\pi$ cubic units

B. $$144\pi$ cubic units

C. $$108\pi$ cubic units

D. $$18\pi$ cubic units

5. A rectangular prism has length 9 units, width 4 units, and height 2 units. What is the surface area of the rectangular prism?

A. 124 square units

B. 152 square units

C. 104 square units

D. 72 square units

6. A cube has a surface area of 54 square units. What is the side length of the cube?

A. 4 units

B. 3 units

C. 6 units

D. 5 units

7. A cube-shaped box has side length 7 units. Each face is a square with side 7 units. What is the surface area of the cube in square units?

A. 196 square units

B. 98 square units

C. 343 square units

D. 294 square units

8. A cone has radius 3 units and height 12 units. What is the volume of the cone? (Use $\pi$ in your answer.)

A. $$36\pi\text{ cubic units}$

B. $$144\pi\text{ cubic units}$

C. $$108\pi\text{ cubic units}$

D. $$12\pi\text{ cubic units}$

9. A square pyramid has a square base with side length 6 units and a height of 9 units. What is the volume of the pyramid?

A. 324 cubic units

B. 216 cubic units

C. 54 cubic units

D. 108 cubic units

10. A rectangular prism has length 6 units, width 4 units, and height 3 units. What is the volume?

A. 84 cubic units

B. 52 cubic units

C. 72 cubic units

D. 96 cubic units

11. A square pyramid has a square base with side length 6 units and a vertical height of 9 units from the base to the apex. What is the volume of the pyramid in cubic units?

A. 72 cubic units

B. 324 cubic units

C. 216 cubic units

D. 108 cubic units

12. A rectangular prism has dimensions 8 units, 6 units, and 5 units. What is the volume of the prism?

A. 96 cubic units

B. 240 cubic units

C. 280 cubic units

D. 120 cubic units

13. What is the surface area of a cube with side length 10 units?

A. 600 square units

B. 300 square units

C. 1000 square units

D. 400 cubic units

14. A rectangular prism has length 12 units, width 5 units, and height 3 units. All measurements are in units. What is the volume of the rectangular prism?

A. 60 cubic units

B. 360 cubic units

C. 120 cubic units

D. 180 cubic units

15. A cone has radius 3 units and height 12 units. What is the volume?

A. $$108\pi$ cubic units

B. $$45\pi$ cubic units

C. $$36\pi$ cubic units

D. 108 cubic units

16. A sphere has radius 3 units. What is the volume of the sphere? (Use $\pi$ in your answer.)

A. $$\frac{4}{3}\pi\text{ cubic units}$

B. $$36\pi\text{ cubic units}$

C. $$27\pi\text{ cubic units}$

D. $$12\pi\text{ cubic units}$

17. A right circular cylinder has a volume of $72\pi$ cubic inches and a height of 8 inches. What is the radius, in inches, of the cylinder's base?

A. 3

B. 4.5

C. 6

D. 9

18. A rectangular pyramid has a base area of 40 square units and a height of 9 units. What is its volume?

A. 180 cubic units

B. 360 cubic units

C. 120 cubic units

D. 90 cubic units

19. Which formula gives the surface area of a cone with radius $r$ and slant height $l$?

A. $$2\pi r^2 + \pi rl$

B. $$\pi rl$

C. $$\pi r^2 + \pi rl$

D. $$\pi r^2 + 2\pi rl$

20. Which formula gives the surface area of a cylinder with radius $r$ and height $h$?

A. $$πr^2 + 2πrh$

B. $$2πr^2h$

C. $$2πr^2 + 2πrh$

D. $$πr^2h$

21. A cone has a radius of 3 units and a height of 9 units. What is the volume of the cone?

A. 81π cubic units

B. 36π cubic units

C. 54π cubic units

D. 27π cubic units

22. A cylinder has a diameter of 8 units and a height of 10 units. What is the volume of the cylinder?

A. 320π cubic units

B. 64π cubic units

C. 160π cubic units

D. 80π square units

23. A cylinder has a height of 14 units and a radius of 3 units. What is the volume of the cylinder?

A. 252π cubic units

B. 168π cubic units

C. 126π cubic units

D. 84π cubic units

24. A cylinder has a volume of 300π cubic units and a height of 12 units. What is the radius of the cylinder?

A. 5 units

B. 10 units

C. 15 units

D. 8 units

25. What is the surface area of a rectangular prism with dimensions 4 units, 3 units, and 2 units?

A. 48 square units

B. 36 square units

C. 24 square units

D. 52 square units

26. A cube has side length 5 units. What is the volume of the cube?

A. 150 cubic units

B. 125 cubic units

C. 75 square units

D. 25 square units

27. A cube has a volume of 64 cubic units. What is the surface area of the cube?

A. 96 square units

B. 64 square units

C. 128 square units

D. 48 square units

28. What is the volume of a pyramid with a rectangular base of 8 by 6 units and a height of 10 units?

A. 480 cubic units

B. 240 cubic units

C. 160 cubic units

D. 320 cubic units

29. A sphere has a volume of $288π$ cubic units. What is the radius of the sphere?

A. 8 units

B. 5 units

C. 6 units

D. 4 units

30. A sphere has a diameter of 10 units. What is the surface area of the sphere?

A. 400π square units

B. 25π square units

C. 50π square units

D. 100π square units

31. What is the volume of a cone with a base radius of 5 units and a height of 12 units?

A. $$120\pi$ cubic units

B. $$300\pi$ cubic units

C. $$100\pi$ cubic units

D. $$60\pi$ cubic units

32. What is the surface area of a sphere with a radius of 3 units?

A. 12π square units

B. 9π square units

C. 36π square units

D. 27π square units

33. A sphere has a volume of 36π cubic units. What is the radius of the sphere?

A. 3 units

B. 6 units

C. 9 units

D. 4 units

34. What is the volume of a sphere with a radius of 6 units?

A. $$144\pi$ cubic units

B. $$432\pi$ cubic units

C. $$288\pi$ cubic units

D. $$216\pi$ cubic units

35. A rectangular prism has a surface area of 94 square units and dimensions 5 units by 4 units. What is the height of the prism?

A. 4 units

B. 5 units

C. 2 units

D. 3 units

36. What is the surface area of a sphere with radius 8 units?

A. 128π square units

B. 64π square units

C. 512π square units

D. 256π square units

37. A cube has a surface area of 54 square units. What is the length of each side of the cube?

A. 9 units

B. 3 units

C. 12 units

D. 6 units

38. A cylinder has radius 7 units and height 2 units. What is the surface area of the cylinder? (Use $\pi$ in your answer.)

A. $$70\pi\text{ square units}$

B. $$98\pi\text{ square units}$

C. $$196\pi\text{ square units}$

D. $$126\pi\text{ square units}$

39. What is the surface area of a cylinder with a radius of 7 units and a height of 14 units?

A. 588\pi square units

B. 154\pi square units

C. 294\pi square units

D. 308\pi square units

40. A cone has a height of 9 units and a base radius of 4 units. What is the volume of the cone?

A. $$36\pi$ cubic units

B. $$48\pi$ cubic units

C. $$96\pi$ cubic units

D. $$72\pi$ cubic units

41. Which formula gives the volume of a cylinder with radius $r$ and height $h$?

A. $$\pi r^2 h$

B. $$\pi r h^2$

C. $$\frac{1}{3} \pi r^2 h$

D. $$2\pi rh$

42. A cylinder has a radius of 4 units and a height of 10 units. What is the volume of the cylinder?

A. 80π cubic units

B. 200π cubic units

C. 160π cubic units

D. 320π cubic units

43. A cylinder has radius 4 units and height 10 units. What is the volume?

A. 160 cubic units

B. $$320\pi$ cubic units

C. $$80\pi$ cubic units

D. $$160\pi$ cubic units

44. A rectangular prism has length 8 units, width 5 units, and height 3 units. What is the volume of the rectangular prism?

A. $$46\text{ cubic units}$

B. $$120\text{ cubic units}$

C. $$94\text{ cubic units}$

D. $$158\text{ cubic units}$

45. A rectangular prism has length 10 units, width 3 units, and height 4 units. What is the surface area of the rectangular prism?

A. $$120\text{ square units}$

B. $$240\text{ square units}$

C. $$94\text{ square units}$

D. $$164\text{ square units}$

46. A cylinder has diameter 12 units and height 5 units. What is the volume of the cylinder? (Use $\pi$ in your answer.)

A. $$360\pi\text{ cubic units}$

B. $$180\pi\text{ cubic units}$

C. $$60\pi\text{ cubic units}$

D. $$720\pi\text{ cubic units}$

47. A cylinder has radius 3 units and height 8 units. What is the surface area of the cylinder? (Use $\pi$ in your answer.)

A. $$66\pi\text{ square units}$

B. $$54\pi\text{ square units}$

C. $$48\pi\text{ square units}$

D. $$24\pi\text{ square units}$

48. A cone has diameter 8 units and height 6 units. What is the volume of the cone? (Use $\pi$ in your answer.)

A. $$32\pi\text{ cubic units}$

B. $$128\pi\text{ cubic units}$

C. $$64\pi\text{ cubic units}$

D. $$96\pi\text{ cubic units}$

49. A cone has radius 6 units and height 9 units. What is the volume of the cone? (Use $\pi$ in your answer.)

A. $$162\pi\text{ cubic units}$

B. $$54\pi\text{ cubic units}$

C. $$108\pi\text{ cubic units}$

D. $$324\pi\text{ cubic units}$

50. A rectangular prism has length 9 units, width 4 units, and height 2 units. What is the surface area of the rectangular prism?

A. $$144\text{ square units}$

B. $$72\text{ square units}$

C. $$124\text{ square units}$

D. $$184\text{ square units}$

51. A square pyramid has a base with side length 8 units and height 9 units. What is the volume of the pyramid?

A. $$144\text{ cubic units}$

B. $$288\text{ cubic units}$

C. $$192\text{ cubic units}$

D. $$576\text{ cubic units}$

52. A cube has side length 6 units. What is the surface area of the cube?

A. $$216\text{ square units}$

B. $$144\text{ square units}$

C. $$36\text{ square units}$

D. $$72\text{ square units}$

53. A cube has side length 9 units. What is the volume of the cube?

A. $$486\text{ cubic units}$

B. $$81\text{ cubic units}$

C. $$729\text{ cubic units}$

D. $$243\text{ cubic units}$

54. A square pyramid has a base that is a square with side length 6 units and a height of 10 units. What is the volume of the pyramid?

A. $$360\text{ cubic units}$

B. $$120\text{ cubic units}$

C. $$60\text{ cubic units}$

D. $$180\text{ cubic units}$

55. A sphere has radius 3 units. What is the surface area of the sphere?

A. $$18\pi$ square units

B. $$12\pi$ square units

C. $$36\pi$ square units

D. $$9\pi$ square units

56. Which formula gives the surface area of a right circular cylinder with radius $r$ and height $h$ (including both circular bases)?

A. $$2\pi r^2+2\pi rh$

B. $$\dfrac{4}{3}\pi r^3$

C. $$\pi r^2+2\pi rh$

D. $$\pi r^2h$

57. A right circular cylinder has radius 4 units and height 10 units. What is the volume of the cylinder?

A. $$160\pi$ cubic units

B. $$56\pi$ cubic units

C. 160 cubic units

D. $$80\pi$ cubic units

58. A cylinder has diameter 10 units and height 6 units. What is the volume of the cylinder? (Use $\pi$ in your answer.)

A. $$300\pi$ cubic units

B. $$150\pi$ cubic units

C. $$600\pi$ cubic units

D. $$60\pi$ cubic units

59. Which formula gives the surface area of a sphere with radius $r$?

A. $$\frac{4}{3}\pi r^3$

B. $$2\pi r^2 + 2\pi rh$

C. $$\pi r^2h$

D. $$4\pi r^2$

60. A right circular cone has radius 3 units and height 12 units. What is the volume of the cone? (Use $\pi$ in your answer.)

A. $$144\pi$ cubic units

B. $$432\pi$ cubic units

C. $$108\pi$ cubic units

D. $$36\pi$ cubic units

61. A cylinder has radius 4 units and height 10 units. What is the volume of the cylinder? (Use $\pi$ in your answer.)

A. $$56\pi$ cubic units

B. $$160\pi$ cubic units

C. $$80\pi$ cubic units

D. $$320\pi$ cubic units

62. A right circular cone has radius 3 units and height 12 units. The height is perpendicular to the circular base. What is the volume of the cone in cubic units?

A. $$36\pi$ cubic units

B. $$72\pi$ cubic units

C. $$108\pi$ cubic units

D. $$36$ cubic units

63. A square pyramid has a square base with side length 6 units and a vertical height of 9 units from the base to the apex. What is the volume of the pyramid in cubic units?

A. 108 cubic units

B. 72 cubic units

C. 216 cubic units

D. 324 cubic units

64. A cube-shaped box has side length 7 units. Each face is a square with side 7 units. What is the surface area of the cube in square units?

A. 98 square units

B. 294 square units

C. 343 square units

D. 196 square units

65. A rectangular prism has length 12 units, width 5 units, and height 3 units. All measurements are in units. What is the volume of the rectangular prism?

A. 360 cubic units

B. 60 cubic units

C. 120 cubic units

D. 180 cubic units

66. A cylindrical tank with a radius of 4 meters is partially filled with water. A solid metal sphere is completely submerged in the tank, causing the water level to rise by 0.5 meters. What is the volume of the sphere in cubic meters?

A. 4π

B. 16π

C. 8π

D. 32π

67. A right circular cone has radius 3 units and height 12 units. The height is perpendicular to the circular base. What is the volume of the cone in cubic units?

A. $$72\pi$ cubic units

B. $$108\pi$ cubic units

C. $$36\pi$ cubic units

D. $$36$ cubic units

68. A sphere has radius 5 units. What is the volume of the sphere?

A. $$500\pi$ cubic units

B. $$\frac{500}{3}\pi$ cubic units

C. $$\frac{250}{3}\pi$ cubic units

D. $$100\pi$ cubic units

69. A square pyramid has a square base with side length 6 units and height 9 units. What is the volume of the pyramid?

A. 108 cubic units

B. 324 cubic units

C. 54 cubic units

D. 72 cubic units

70. A sphere has diameter 12 units. What is the surface area of the sphere?

A. $$288\pi$ square units

B. $$96\pi$ square units

C. $$576\pi$ square units

D. $$144\pi$ square units

71. A cylinder has radius 4 units and height 10 units. What is the volume of the cylinder?

A. $$56\pi$ cubic units

B. $$320\pi$ cubic units

C. $$80\pi$ cubic units

D. $$160\pi$ cubic units

72. What is the volume of a rectangular prism with length 7 units, width 3 units, and height 4 units?

A. 84 cubic units

B. 28 square units

C. 14 cubic units

D. 60 cubic units

73. What is the surface area of a cube with side length 7 units?

A. 147 square units

B. 49 square units

C. 343 square units

D. 294 square units

74. A rectangular prism has dimensions 3 units by 4 units by 5 units. What is the surface area?

A. 94 square units

B. 47 square units

C. 60 square units

D. 54 square units

75. What is the volume of a rectangular prism with length 8 units, width 5 units, and height 3 units?

A. 30 cubic units

B. 46 cubic units

C. 94 cubic units

D. 120 cubic units

76. A cube has a side length of 2 units. What is the total surface area of the cube?

A. 16 square units

B. 8 square units

C. 24 square units

D. 12 square units

77. A cylinder has a surface area of 150π square units and a radius of 5 units. What is the height of the cylinder?

A. 10 units

B. 15 units

C. 20 units

D. 5 units

78. A cube has side length 4 units. What is the volume of the cube?

A. $$48\text{ cubic units}$

B. $$16\text{ cubic units}$

C. $$64\text{ cubic units}$

D. $$96\text{ cubic units}$

79. A right circular cylinder has a volume of $72\pi$ cubic inches and a height of 8 inches. What is the radius, in inches, of the cylinder's base?

A. 3

B. 4.5

C. 6

D. 9

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