AP 10th Maths Mock Test 2021 For Chapter 10 – ” Mensuration ” Online Practise Test

1. Here ' r ' means

Height

Area

Radius

Breadth

2. Curved surface area for right prism is

Perimeter of base $\times$ height

Perimeter $\times$ height

Perimeter of base + height

3. Find the slant height with radius 7 m and height 10 m is

12.3 m

13.3 m

13.2 m

12.2 m

4. If the diameter of sphere is 10 then radius of the sphere is

5. $2\pi r^{2}$ is curved surface area for

Sphere

Hemisphere

Cone

Prism

6. In the given formula $a^{3}$ , ' a ' represents the

Length of the cuboid

Breadth of the cuboid

Side of a cube

Radius of sphere

7. The formula for slant height is

$\sqrt{ r^{2} + d^{2} }$

$\sqrt{ r^{2} + h^{2} }$

$\sqrt{ a^{2} + h^{2} }$

$\sqrt{ r^{3} + h^{2} }$

8. A sphere , a cone and a cylinder have same radius and same height . then find the ratio of their curved surface areas ?

4 : $\sqrt{5}$ : 4

4 : 4 : $\sqrt{5}$

$\sqrt{5}$ : 4 : 4

None

9. The side of the cube is 5 cm , then volume of the cube is

25 $cm^{3}$

100 $cm^{3}$

150 $cm^{3}$

125 $cm^{3}$

10. In the formula $2 \pi rh$ , the value of $\pi$ is

$\frac{22}{7}$

$\frac{23}{7}$

$\frac{77}{2}$

None

11. Write the total surface area for the following figure

$2\pi rh$

$2\pi r( r + h )$

$\pi r^{2}h$

None

12. Find the volume of right circular cone with radius 6 cm and height 7 cm.

265 $cm^{3}$

266 $cm^{3}$

264 $cm^{3}$

264 $cm^{2}$

13. The curved surface area of cone is 4070 $cm^{2}$ and its diameter is 70 cm . what is its slant height ?

34 cm

35 cm

36 cm

37 cm

14. The volume of a cube with each edge of length 4 cm is

8 $cm^{3}$

16 $cm^{3}$

32 $cm^{3}$

64 $cm^{3}$

15. If the radius of a cone is 6 cm and height is 8 cm then the slant height is

14 cm

12 cm

8 m

10 cm

16. Total surface area of a cuboid with 5 cm length , 3 cm breadth and 2 cm height is

64 $cm^{2}$

62 $cm^{2}$

34 $cm^{2}$

32 $cm^{2}$

17. Total surface area of a cuboid with 4 cm length , 2 cm breadth and 1 cm height is

24 $cm^{2}$

28 $cm^{2}$

14 $cm^{2}$

26 $cm^{2}$

18. Total surface area of a cuboid with ( x - 1 ) cm length , x cm breadth and x cm height is....

$( 3x^{2} -1 ) cm^{2}$

$( 3x^{2} +1 ) cm^{2}$

2 $( 3x^{2} -1 ) cm^{2}$

2 $( 3x^{2} +1 ) cm^{2}$

19. Total surface area of a cuboid with ' a' cm each of length , breadth and height is..

$a^{3} cm^{3}$

$4 a^{2} cm^{2}$

$6a^{2} cm^{2}$

$2a^{2} cm^{2}$

20. Total surface area of a cuboid with length 8 cm , breadth 6 cm , height 5 cm is

140 $cm^{2}$

236 $cm^{2}$

120 $cm^{2}$

40 $cm^{2}$

21. Lateral surface area of a cuboid with 5 cm length , 3 cm breadth and 2 cm height is....

32 $cm^{2}$

64 $cm^{2}$

16 $cm^{2}$

24 $cm^{2}$

22. Lateral surface area of a cuboid with 8 cm length , 6 cm breadth and 5 cm height is...

140 $cm^{2}$

236 $cm^{2}$

136 $cm^{2}$

240 $cm^{2}$

23. Area of four walls of a roo0 if its length 12 m , breadth 10 m and height 7.5 m

230 $m^{2}$

330 $m^{2}$

285 $m^{2}$

385 $m^{2}$

24. Total surface area of a cube with side 4 cm is...

64 $cm^{2}$

16 $cm^{2}$

24 $cm^{2}$

96 $cm^{2}$

25. Total surface area of a cube with side 15 m is ....

1350 $m^{2}$

225 $m^{2}$

3375 $m^{2}$

900 $m^{2}$

26. Lateral surface area of a cube with side 3 m is

27 $m^{2}$

36 $m^{2}$

270 $m^{3}$

36 $m^{3}$

27. Each of length , breadth and height of a cuboid are increased by 25% . Ratio of the total surface areas of new and old cuboids is...

16 : 25

4 : 5

5 : 4

25 : 16

28. Edge of a cube whose volume is 1000 $cm^{3}$ is......

10 cm

20 cm

100 cm

10.10 cm

29. Volume of a cuboid of length l = 12 cm , b = 10 cm , h = 8 cm is.....

360 $cm^{3}$

960 $cm^{3}$

120 $cm^{3}$

80 $cm^{3}$

30. Volume of a cuboid is 1200 $cm^{3}$ . its length is 15 cm and breadth is 10 cm . its height is...

25 cm

5 cm

8 cm

60 cm

31. A swimming pool of a cuboid shaped has length is 50 m , width 25 m and 3 m deep through . how many litres of water does it hold ?

2500 l

15625 l

3750 l

3750000 l

32. Total surface area of a cube of volume 8000 $m^{3}$ is....

20 m

2400 $m^{2}$

1600 $m^{2}$

400 $m^{2}$

33. Find the volume of a cube whose total surface area is 384 $m^{2}$ is..

512 $m^{3}$

216 $m^{3}$

64 $m^{3}$

729 $m^{3}$

34. Curved surface area of the cylinder with r = 3 cm , h = 14 cm is

254 $cm^{2}$

264 $cm^{2}$

84 $cm^{2}$

88 $cm^{2}$

35. Curved surface area of cylinder with d = 7 cm , h = 10 cm is...

440 $cm^{2}$

330 $cm^{2}$

220 $cm^{2}$

480 $cm^{2}$

36. Total surface area of cylinder with r = 7 cm , h = 10 cm is..

440 $cm^{2}$

308 $cm^{2}$

3080 $cm^{2}$

748 $cm^{2}$

37. Volume of a cylinder of radius 20 cm , height 14 cm is ...

880 $cm^{3}$

17600 $cm^{3}$

8800 $cm^{3}$

35200 $cm^{3}$

38. Volume of a cylinder is 308 $m^{3}$ with 8 m height.then its radius ..

$\frac{9}{2}$ m

$\frac{5}{2}$ m

$\frac{7}{2}$ m

$\frac{11}{2}$ m

39. The area of a thin paper sheet needed to make a cylinder with a height of 35 cm and radius 7 cm is

1540 cm²

1350 cm²

1430 cm²

1450 cm²

40. The lateral surface area of cylinder is equal to curved surface area cone . if the radius be the same , then the ratio of the height of the cylinder and slant height of the cone is

2 : 1

1 : 3

3 : 1

1 : 2

41. A cylinder and a cone have bases of equal radii and are of equal heights . then the ratio of their volumes are...

1 : 2

2 : 1

3 : 1

1 : 3

42. The total volume of a two cylindrical shaped solid iron rods each of which has 11 cm height and 7 cm of base diameter is

743 cm³

824 cm³

847 cm³

947 cm³

43. If the curved surface area of cone is 4070 cm²and its diameter is 70 cm then its slant height is...

27 cm

30 cm

34 cm

37 cm

44. The height of a cylinder is 10 cm and its base is of 3.5 cm .An article was made by scooping out a hemisphere from each end of the cylinder. then the total surface area of the article is.....

374 cm₂

424 cm₂

362 cm₂

324 cm₂

45. The volume of the largest right circular cone that can be cut out of a cube whose edge is 7 cm is....

79.73 cm³

$\frac{539}{6}$ cm³

85 cm³

$\frac{539}{3}$ cm³

46. A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm . then the height of the cylinder is.....

2.74 cm

1.74 cm

3.74 cm

4.74 cm

47. If three metallic spheres of radii 7 cm , 8 cm and 10 cm respectively are melted to form a single solid sphere , then the radius of the resulting sphere is..

16 cm

18 cm

14 cm

12 cm

48. A 20 m deep well with diameter 7 m is dugand the earth from digging is evenly spread out to form a platform 22 m by 14 m .then the height of the platform is ...

2 m

2.25 m

2.5 m

3 m

49. A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones , each of diameter 4 $\frac{2}{3}$ cm . then the number of cones are....

672

484

576

624

50. If the surface area of a sphere and a cube are equal , then the ratio of their volumes are equal to

11 : 21

21 : 11

$\sqrt{11}$ : $\sqrt{21}$

$\sqrt{21}$ : $\sqrt{11}$

51. The volume of sphere of radius 21 cm is....

55.44 cm³

38.8 cm³

66.4 cm³

48.8 cm³

52. If a cone of height 24 cm and radius of base 6 cm is re-shaped in the form of a sphere , then the radius of the sphere is

2 cm

4 cm

5 cm

6 cm

53. Total surface area of a hemisphere of radius 7 cm is

154 cm²

308 cm²

462 cm²

616 cm²

54. A bucket has top and bottom diameters of 40 cm and 20 cm respectively .if its depth is 12 cm then the volume of bucket is....

8800 cm³

4400 cm³

3300 cm³

2200 cm³

55. The slant height of a cone whose r = 12 cm , h = 5 cm is...

5 cm

17 cm

13 cm

12 cm

56. The ratio of volumes of a cone and a cylinder whose radii and height are equal is...

3 : 1

1 : 3

1 : 2

1 : 1

57. The diagonal of a cube whose side is ' a ' units is..

$\sqrt{2}a$

$\sqrt{3}a$

58. Total surface area of a cube whose side is 0.5 cm is

$\frac{1}{4}$ $cm^{2}$

$\frac{1}{8}$ $cm^{2}$

$\frac{3}{4}$ $cm^{2}$

$\frac{3}{2}$ $cm^{2}$

59. A rectangular parallelopiped is also known as..

Cube

Cuboid

Cone

Cylinder

60. If ' l ' is the external length of a closed cuboid of thickness ' a' then internal length =....

l - 2a

l + 2a

l - a

l + a

61. If a right angled triangle is revolved about one of the sides containing a right angle , the solid thus formed is called

Cylinder

Cube

Cuboid

Right circular cone

62. Volume of a prism is given by

Perimeter of base $\times$ height

Perimeter of base $\times$ area of base

Base area $\times$ height

Perimeter of base $\times$ length $\times$ breadth

63. lateral surface area of a prism is given by

Perimeter of base $\times$ height

Perimeter of base $\times$ area of base

Base area $\times$ height

Base area $\times$ length $\times$ breadth

64. Cylinder can be formed by revolving ..... about one of its sides

Square

Circle

Right triangle

Rectangle

65. Each dimension of a cube is doubled . Ratio of the total surface areas of new and original cuboid is..

4 : 3

4 : 1

8 : 3

2 : 1

66. When dimensions are tripled , ratio of the total surface areas of old and new cuboids is......

1 : 9

2 : 9

9 : 1

None

67. When dimensions are halved , ration of the total surface areas of new and old cuboids is...

1 : 4

4 : 1

1 : 2

2 : 1

68. When dimensions are raised to " m " times , ratio of the total surface areas of new and old cuboids is..

1 : 2 m

1 : $\sqrt{m}$

$\sqrt{m}$ : 1

m² : 1

69. Each dimension of a cuboid is raised to ' 3 ' times then ratio of the lateral surface areas of new and old cuboids ....

9 : 1

1 : 9

1 : 3

3 : 1

70. Lateral area of a cuboid with ' a ' units each of length , breadth and height is

a³ units

a² units

6a² units

4a² units

71. Lateral area of a cuboid with ( x - 1 ) cm length , x cm breadth , ( x + 1 ) cm height is...

( 2x² + x - 1 ) cm²

2x² cm²

( 4x² + 2x - 2 ) cm²

( 2x² - 1 ) cm²

72. Each of length , breadth and height are increased by 50% . Ratio of the total surface area of new and old cuboids is..

4 : 9

9: 4

2 : 3

3 : 2

73. Radius of a cylinder is doubled keeping its lateral surface areas the same . then the height is......

Halved

Tripled

Doubled

One third

74. A sphere , a cylinder and a cone have the same radius and height . then the ratio of their curved surface areas is........

1 : 1 : $\sqrt{5}$

2 : 2 : $\sqrt{5}$

3 : 3 : $\sqrt{5}$

4 : 4 : $\sqrt{5}$

75. A water drum X is of diameter 1 m and 2 m height while an another water drum Y is of diameter 2 m and 1 m height . then which drum can hold more water ?

Both

None

76. If the radii of two cones are in the ratio 2 : 1 and their volumes are equal then the ratio of their heights is..........

1 : 1

1 : 2

1 : 3

1 : 4

77. The volumes of a sphere and a right cylinder are equal and the diameter of the sphere equals the diameter of the base of the cylinder . then the ratio of height of the cylinder and the diameter of the sphere = ....

3 : 2

2 : 3

1 : 3

3 : 1

78. If the base radii of two right circular cones of the same height are in the ratio 2 : 3 , then the ratio of their volumes is.........

2 : 3

3 : 2

4 : 9

8 : 27

79. A cone , hemisphere and cylinder stand on equal bases and have the same height hen the ratio of their volumes ..

3 : 2 : 1

1 : 2 : 3

1 : 3 : 2

2 : 1 : 3

80. The diameter of the moon is about $\frac{1}{4}$ that of earth . then ratio of volumes of the earth and the moon is........

1 : 64

64 : 1

1 : 16

16 : 1

81. The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio of 5 : 3 .The ratio of their volumes is......

4 : 9

9 : 4

20 : 27

27 : 20

82. In what ratio are the volumes of a cylinder , a cone and a sphere , if each has the same diameter and the same height ?

1 : 3 : 2

2 : 3 : 1

3 : 1 : 2

3 : 2 : 1

83. A parallelopiped whose faces are rectangles and adjacent faces are perpendicular is called a...

Cube

Cone

Cuboid

Cylinder

84. Diagonal of a cuboid is given by..

$\sqrt{ l^{2} + b^{2} }$

$\sqrt{ l + b + h }$

$\sqrt{ l^{2} + b^{2} + h^{2} }$

$\sqrt{ l^{3} + b^{3} + b^{3} }$

85. Height of a cuboid =

$\frac{volume}{total surface area}$

$\frac{volume}{surface area of walls}$

$\frac{total surface area}{lateral surface area}$

$\frac{volume}{base area}$

86. Volume of a cuboid =

l + b + h

lbh

2h ( l + b )

2 ( lb + lh + bh )

87. Volume of a cube =

a³

3a²

3a³

88. Total surface area of a cube =

4a³

6a³

4a²

6a²

89. Diagonal of a cube =

$\sqrt{3}$ a

$\sqrt{2}$ a

90. Total surface area of a cuboid =

2h ( l + b )

2 ( lh + bh )

lbh

2 ( lh + hb + lb )

91. Surface area of walls of a room =

2 ( l + b )

h( l + b )

2 ( bl + hb + hl )

2h ( l + b )

92. Curved surface area of a cone =

$\pi rh$

$\pi rl$

$\pi r( r + l )$

$\frac{1}{3}\pi$ r²h

93. Volume of cone =

$\pi rh$

$\pi rl$

$\pi r( r + l )$

$\frac{1}{3}\pi$ r²h

94. Total surface area of a right circular cone =

$\pi rl$

$\pi r( r + l )$

$\pi r\sqrt{ r^{2} + h^{2} }$

None

95. Slant height of cone =

$\sqrt{ r^{2} + h^{2} }$

$\sqrt{ r^{2} + l^{2} }$

$r^{2} + h^{2}$

$r^{2} + l^{2}$

96. Volume of cylinder is =

$\pi r^{2}$ h

2 $\pi r^{2}$ h

2 $\pi$ rh

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

97. Curved surface area of a cylinder =

$\pi r^{2}$ h

2 $\pi r^{2}$ h

2 $\pi$ rh

2 $\pi$ r²h

98. Total surface area of a cylinder =

2 $\pi$ r ( r + l )

2 $\pi$ r ( r + h )

$\pi$ r ( r + h )

2 $\pi$ rh

99. Volume of a hollow cylinder =

$\pi h ( R^{2} - r^{2} )$

$\pi$ h ( R - r )

$\pi ( R^{2} - r^{2} )$

$\pi R^{2}r^{2}h$

100. The set of all points in space which are equidistant from a fixed point is called

Circle

Cube

Sphere

Hemisphere

101. Surface area of a sphere =

2 $\pi r^{2}$

3 $\pi r^{2}$

4 $\pi r^{2}$

6 $\pi r^{2}$

102. Volume of a sphere =

4 $\pi r^{2}$

4 $\pi r^{3}$

$\frac{1}{3}\pi r^{2}$

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

103. Curved surface area of a hemisphere =

$\pi r^{2}$

2 $\pi r^{2}$

3 $\pi r^{2}$

4 $\pi r^{2}$

104. Volume of a hemisphere =

$\pi r^{3}$

$\frac{1}{3}\pi r^{3}$

$\frac{2}{3}\pi r^{3}$

$\frac{1}{3}\pi r^{2}$

105. Outer surface area of a spherical shell is

4 $\pi r^{2}$

3 $\pi r^{2}$

2 $\pi r^{2}$

$\pi r^{2}$

106. Volume of a spherical shell is

$\frac{4}{3}\pi ( R^{3} - r^{3} )$

$\frac{2}{3}\pi ( R^{3} - r^{3} )$

$\frac{1}{3}\pi ( R^{3} - r^{3} )$

$\frac{4}{5}\pi ( R^{3} - r^{3} )$

107. Volume of a frustum if $A_{1} , A_{2}$ are surface areas of the two ends is

h $( A_{1} + \sqrt{A_{1}A_{2}} + A_{2} )$

$\frac{h}{2} ( A_{1} + \sqrt{A_{1}A_{2}} + A_{2} )$

$\frac{h}{3} ( A_{1} + \sqrt{A_{1}A_{2}} + A_{2} )$

h ( A_{1} + $\sqrt{A_{1}A_{2}}$ + A_{4} )

108. Curved surface area of a frustum =

$\pi$ ( R + r )l

$\pi$ ( R - r )l

$\pi$ ( $R^{2} + r^{2}$ )l

$\pi$ ( $R^{2} - r^{2}$ )l

109. In which situation , we need to find out the total surface area

Gift paper to cover a gift

Ghee in a can

Colouring a room

Sugar in the tin

110. To calculate the quantity of water inside a bottle , we need to find out the

Area

Volume

Density

Total surface area

111. To calculate the quantity of canvas needed for making tent , we need to find out

Lateral surface area

Total surface area

Weight

Volume

112. To find out the quantity of water in the bottle , we measure....

Surface area

Total surface area

Volume

Base area

113. In a right circular cone is cut by a plane parallel to its base , and the portion containing the vertex is removed , the remaining part is called------ of the cone

Sphere

Hemisphere

Ring

Frustum

114. Lateral surface area of a cube is given by

$a^{2}$

2 $a^{2}$

4 $a^{2}$

6 $a^{2}$

115. A joker's cap is in the form of a right circular cone whose base radius is 7 cm and height is 24 cm .then the area of the sheet required to make the cap is

528 $cm^{2}$

550 $cm^{2}$

620 $cm^{2}$

588 $cm^{2}$

116. Total surface area of a regular circular cylinder is

2 $\pi$ rh

$\pi$ rl

2 $\pi$ r ( $\pi$ + r )

2 $\pi$ r ( r + h )

117. The volume of a sphere of radius r is obtained by multiplying its surface area by

$\frac{4}{3}$