AP 9th Maths Mock Test 2021 For Chapter – 10 : “Surface Areas and Volumes” Online Practice Test

1. If the edge of cube is 8 cm then the lateral surface area of a cube is ................. sq.cm
2. The length , breadth and height of a cuboid are 4m , 7m and 9m then the diagonal of that cuboid is
3. If the diagonal of a cube is 15 m then its edge is
4. The radius and height of a cylinder are 7 cm and 20 cm then the lateral surface area of cylinder is
5. If the volume of the cylinder is 68.75 cm3 and its radius is 2.5 cm then its height is
6. The surface area of a sphere is 5544 cm2 , then its radius is ........
7. The largest sphere is carved out of a cube of side 7 cm , then the volume of a sphere is
8. On a particular day , the rainfall recorded in a terrace of dimensions 6m and 5m is 15 cm . The quantity of water collected in terrace is
9. Total surface area of a cube is 96 cm2 then its volume is
10. The radius of the sphere is 2x ten its volume will be
11. S-I : Ratio of surface area of sphere to curved surface area of the cylinder is 4r : h
S-II : Volume of hemisphere is \frac{2}{3}\pir2
12. S-I : The dimensions l , b and h of a cuboid are 1 + x , 1 - x and 1 - x2 respectively , then its lateral surface area is 4(1 - x2) sq.units
S-II : L : B : H = 8 : 4 : 3 . If L + B + H = 120 m , then its LSA is 4604 m2
13.
  • S-I : The dimensions l , b and h of a cylinder are 11 cm , 5 cm , 8 cm . The total area of cuboid is 1464 cm2
  • S-II : The volume of cuboid is 3520 cm3
  • S-III : TSA of a hemisphere is \frac{2}{3}\pir3 cubic units
 
14.
  • S-I : The ratio between the radius of the base and the height of cylinder is 2 : 3 , its volume is 1617 cm3 , then total surface area of cylinder is 770 cm2
  • S-II : Total surface area of a cylinder is 2\pir[h + r]
15. The diameter of base of a right circular cone is 8 cm and its height is 3 cm .........
  1. Slant height             ( ) a. 62\frac{6}{7}
  2. L.S.A                          ( )b. 5\frac{2}{7}
  3. T.S.A                          ( )c. 5
  4. Volume                      ( )d. 113\frac{1}{7}
16.
  1. Base area of cone is 38.5 cm2 , H = ?
    Volume = 77cm3                                              ( ) a. 7 cm
  2. Volume of cone is 462 m3Base radius = 7m
    and height = ?                                                  ( ) b. 6 cm
  3. C.S.A of cone = 308 cm2,
    Slant height = 14 cm
    Radius of the base = ?                                     ( ) c. 462 cm2
  4. C.S.A of cone = 308 cm2,
    Slant height = 14 cm
    Radius of the base = ?                                     ( ) d. 9 m
17.
  1.  Volume of a pyramid = \frac{1}{2} \times volume of right prism
  2. The volume of pyramid whose surface base length is 10 cm and height 8 cm is 260 cm3
  3. The volume of cube if its edge is 12 cm is 1728 cm3
  4. The volume of cuboid is 1200 cm3 . If we multiply length and breadth we get 150 cm then the height is 8 cm
The correct statements are
18.
  1. The basic radii of two right circular cones of the same height are in the ratio 3 : 5 then their volume is 9 : 25
  2. The diameter of base of right circular cone 8 m and its height 3 cm then lateral surface area is 63\frac{6}{7}
  3. The curved surface area of right circular cone is  \pi rl
  4. The radius of two cones are in ratio 1 : 2 and slant height 3 : 5 then the ratio of their surface area is 3 : 10
arrange the steps orderly
19. A metallic cylinder of diameter 5 cm and height 3\frac{1}{3}cm is melted and cast into a sphere . What is its diameter ?
  1. r = \frac{5}{2}
  2. Volume of cylinder = volume of a sphere
  3. Diameter of a sphere = 2r = 2 \times\frac{5}{2} = 5 cm
  4. \frac{5}{2}\times\frac{5}{2}\times\frac{10}{3} = \frac{4}{3}\timesr3
Arrange the steps orderly
20. A regular square pyramid is 3m height and the perimeter of its base is 16m . Find the volume of the pyramid
  1. Volume of pyramid =\frac{1}{3}\timesArea of base \timesheight
  2. \frac{1}{3}\times 16 \times3
  3. 4a = 16m\Rightarrow a = 4m
  4. Area of square base = a2 = 16m2
  5. Volume of pyramid = 16 m3
Arrange the steps orderly
21. Curved surface area of a cone is 308 cm2 and its slant height is 14 cm Find (a) radius of the base (b) Total surface area of the cone
  1. \pirl = 308
  2. T.S.A of a cone = \pir(r + l)
  3. 22\times21
  4. r = 7 cm
  5. 462 cm2
Arrange the steps orderly
22. A cylindrical pillar has a diameter of 56 cm and is 35 m high. There are 16 pillars around the building. Find the cost of painting. If the C.S.A of all pillars is at the rate of 550 Re. per 1 m2
23. Pick out the correct formula for volume of pyramid
24. Find the volume of cuboid formula
25. Formula of T.S.A of cuboid is
26. T.S.A of cylinder formula is
27. Circumference of circle formula is
28. Formula of volume of cylinder is
29. Volume of hollow cylinder formula is
30. Formula of volume of cone is
31. Formula of volume of hemisphere is
32. T.S.A of a cone formula is
33. T.S.A of a cube is
34. Pick out the formula of volume of cube in the following is
35. L.S.A of cube formula is
36. L.S.A of cuboid formula is
37. In the following figure the volume of prism is 342 m^{3}, then find the volume of pyramid in m^{3}
38. Find the volume and T.S.A of given figure
39. Find the T.S.A of given figure
40. The inner radius of the hollow cylinder is r = 2 cm and outer radius R = 7 cm and height h = 7 cm. Then volume of hollow cylinder is
41. If the rectangular sheet has a length 33 cm and breadth is 6 cm then find the value of  \frac{C.S.A}{Volume} of cylinder
42. In a toy figure height of total toy is 20 cm and height of cone is 6 cm. Then find the volume of toy
43. Based on the given figure find the volume of figure
44. The slant height of cone is 5 cm and radius is 7 cm. Then find T.S.A of cone in  cm^{2}
45. The edge of cube is 5 cm then the T.S.A is
46. The edge of 1 cube is 3 cm then based on given figure measurements, how many cubes volume is equal to the figure ?
47. Find the volume of given figure
48. Find the T.S.A of the following figure
49. Find the volume of following cube
50. Find T.S.A of the following cube
51. The dimensions l , b , and h of a  cuboid are 1 + x , 1 - x , 1 - x2 respectively , then the lateral surface area is
52. Each side of the cube is increased by 50% then the surface area of the cube increased by
53. The length , breadth and height of the cuboid are (x - 1) , (x - 10)and (x - 12) units then volume of the cuboid in cubic units
54.
  • Assertion A : The volume of the pyramid whose square base is 16 cm and height 8 cm is 682\overline{6} cm x3
  • Reason R : Volume of pyramid is equal to \frac{1}{3} of the volume of right prism
55.
  • Assertion A : The volume of right angled triangular prism is 144 cm3
  • Reason R : The right prism has bases perpendicular to the lateral edges and all lateral surfaces are rectangles
56.
  • Assertion A : Curved surface area and total surface area of cone are \frac{1}{2}l(2\pir) and \pirl + \pir2
  • Reason R : Total surface area of the hemispherical bowl is equal to \pi(2R2 + 2r2 + R2 - r2)
57.
  • Assertion A : If the diagonal cube is 18 cm then its volume is 648\sqrt{3} cm2
  • Reason R : The curved surface area of solid right circular cylinder is 1683 cm2 and its height is 21 cm then the perimeter of base is 80.14 cm2
58.
  • Assertion A : One side open cylindrical drum has inner radius 28 cm and height 2.1 m , then it can store 517.44 litres of water
  • Reason R : The inner diameter of a circular well is 3.5 m and 10 m deep . Then the cost of plastering the well at the rate of Rs.40 per m2 is 15400 rupees
59.
  • A : Surface area of sphere is 4 times the area of circle
  •  R : Total surface area of hemisphere is 2 times the area of circle
60. To find the volume of a sphere , imagine that a sphere is composed of a great number of congruent pyramids with all their vertices join at the centre of the sphere
  1. \frac{1}{3}A1r + \frac{1}{3}A2r + \frac{1}{3}A3r .............[n times]
  2. Volume of a pyramid = \frac{1}{3} \timesarea of the base\timesheight
  3. \frac{1}{3} \timesr[4\pir2
  4. Volume of a sphere = \frac{4}{3}\pir3
  5. \frac{1}{3}A1r
61. Diagonal of a cuboid  of dimensions length , breadth and height are l , b and h units is
62. The base radii of two right circular cones of the same height are in the ratio 3 : 5 then ratio of their volumes is
63. What is the minimum number of lines required to make a closed figure ?
64. A pyramid is a 3 dimensional figure , the base of which is
65.
  1. Circular discs of 5 mm thickness are placed one above the other to form a cylinder of curved surface area 469 cm2 , if radius is 3.5 cm then no.of discs it contain is 42 discs
  2. l^{2} = r^{2} + h^{2} is derived from Pythagoras theorem
66.
  1. C.S.A of cuboid          ( ) a. 4a2
  2. C.S.A of cube              ( )b. \pirl
  3. C.S.A of cylinder        ( )c. 2h(l + b)
  4. C.S.A of cone              ( )d. 2\pirh
67.
  1. Volume of cuboid          ( ) a. \frac{2}{3}\pir2
  2. Volume of cube              ( )b. \frac{4}{3}\pir3
  3. Volume of sphere          ( )c. lbh
  4. Volume of cone              ( )d. \frac{1}{3}\pir2h
  5. Volume of hemisphere ( )e. s3
68.
  1. The horizontal cross - section of cylinder is a                                        ( ) a. Sector
  2. The vertical cross - section of cylinder is a                                             ( )b. Isosceles triangle
  3. The vertical cross - section of cone is a                                                   ( )c. Rectangle
  4. When a cone is opened along its slant height , it gets the shape of  ( )d. Circle
69.
  1. Total surface area of hemisphere is 3\pi r^{2}
  2. Volume of hollow sphere is \frac{4}{3}\pi (R^{3} - r^{3})
  3. A hemispherical bowl has radius 4.5 cm, the liquid is poured into cylindrical bottles of diameter 3 cm and height 0.03 m . The no.of bottles required is 9
  4. Volume of cone \frac{1}{3}\pi rl
The correct statements are
70. Which of the following is not related ?
71. Which of the following is not related ?
72. The ratio of radii of two spheres is 2 : 3. Find the ratio of their surface areas and volumes
  1. r_{1} ^{2} : r_{2} ^{2} = 4 : 9
  2. The ratio of two surface areas = 4\pi r_{1} ^{2} : 4\pi r_{2} ^{2}
  3. r1 : r2 = 2 : 3
  4.  r_{1} ^{3} :  r_{2} ^{3} = 8 : 27
  5. The ratio of two volumes = \frac{4}{3}\pi r_{1} ^{3} : \frac{4}{3}\pi r_{2} ^{3}
73. Volume of cuboid is 240 cm cm^{3} . If its length is 20 cm and breadth is 3 cm . Find LSA of cuboid in cm^{2}
74. Volume of cube is 64 cm^{3}  then find 'a'
75. How many edges can cuboid and cube have ?
76. The dimensions of a cuboid are (x + 4) m , (x + 2) m and x m . If TSA is 376m^{2} , then the value of 'x' is
77. If L = 8x , B = 5x , H = 20 m , TSA = 2280m^{2} then the value of 'x'
78. TSA of cuboid is
79. Find LSA \times TSA \times volume of a cube
80. Volume of a cube if side is 'b' units is
81. Volume of sphere is 38808 cm3 then find its radius
82. A hemispherical tank full of water is emptied by a pipe at the rate of 3\frac{4}{7} litre/sec . How much time will it take to make the tank half empty , if the tank diameter is 3 m.
83. A solid sphere and a solid hemisphere have the same TSA , the ratio of their volumes is
84. Radius of hemisphere is 7 cm , find its TSA
85. The ratio of TSA of sphere and hemisphere whose radius is same
86. A toy is the form of a cone mounted on a hemisphere of radius 3.5 cm then the height of the toy is 15.5 cm then its volume is
87. Find the total surface area of hemisphere of radius 10 cm ......cm2
88. The length of equator of the globe is 44 cm . Find its surface area
89. The diameter of a spherical ball is 21 cm . How much leather is required to prepare 5 such balls ?
90. The radius of sphere is 3.5 cm . Find its surface area and volume
91. Find the surface area for following
92. Find the surface area for following
93. Find total surface area and lateral surface area of the cube with side 4 cm
94. Each edge of cube is increased by 50% , Find the % in the surface area
95. Find the volume of cube whose edge is 'a' units
96. Find the edge of a cube whose volume is 1000 cm3
97. Find the volume of cube , if its edge is 3 cm
98. Find the volume of cuboid if l = 12 cm , b = 10 cm and h = 8 cm
99. The volume of cube is 1728 cubic cm . Find volume of square pyramid of the same height
100. An Olympic swimming pool is in the shape of a cuboid of dimensions 50 m long and 25 m wide . If it is 3 m deep throughout , how many litres of water does it hold ?

 

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