Volume and Surface Area MCQ

Test your knowledge with important Volume and Surface Area MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30+ more Volume and Surface Area MCQs on Bissoy. Bissoy App

• If the radius of a sphere is doubled, how many times does its volume becomes ?
  ক

  2 times

  খ

  4 times

  গ

  6 times

  ঘ

  8 times
• The ratio of the volume of a cube to that of a sphere which will fit inside the cube is :
  ক

  4 : 3π

  খ

  4 : π

  গ

  6 : π

  ঘ

  2 : π
• If the radius of the base of a right circular cylinder is halved, keeping the height same, what is the ratio of the volume of the reduced cylinder to that of the original one ?
  ক

  1 : 2

  খ

  1 : 4

  গ

  1 : 8

  ঘ

  8 : 1
• Which one of the following figures will generate a cone when rotated about one of its straight edges ?
  ক

  An equilateral triangle

  খ

  A sector of a circle

  গ

  A segment of a circle

  ঘ

  A right-angled triangle
• Find the in-radius (in cm) of an equilateral triangle whose sides are 6 cm each.
  ক

  \u221a3

  খ

  2\u221a3

  গ

  3\u221a3

  ঘ

  4\u221a3
• If the in radius of the equilateral triangle is 8 cm then what is the value of circum radius (in cm) of the triangle?
  ক

  8

  খ

  16

  গ

  18

  ঘ

  20
• What is the sum of the measures of all the interior angles of a regular polygon of 5 sides?
  ক

  720

  খ

  1080

  গ

  1260

  ঘ

  540
• A hexagonal prism has 18 edges. How many vertices does it have?
  ক

  8

  খ

  12

  গ

  20

  ঘ

  22
• A cone of height 12 cm and diameter 10 cm is mounted on a hemisphere of the same diameter. What is the volume of the solid thus formed?
  ক

  384.13 sq cm

  খ

  576.19 sq cm

  গ

  192.06 sq cm

  ঘ

  288.1 sq cm
• What is the measure of an interior angle of a regular dodecagon?
  ক

  120\u00b0

  খ

  140\u00b0

  গ

  150\u00b0

  ঘ

  144\u00b0
• If a cylinder of radius 7 cm and height 9 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?
  ক

  54 cm

  খ

  9 cm

  গ

  27 cm

  ঘ

  13.5 cm
• A solid cube is cut into 27 identical cubes. What is the percentage increase in the total surface area?
  ক

  150

  খ

  200

  গ

  300

  ঘ

  250
• A regular hexagonal base prism has height 8 cm and side of base is 4 cm. What is the total surface area (in cm2) of the prism?
  ক

  54(3 + \u221a3)

  খ

  36(3 + \u221a3)

  গ

  48(4 + \u221a3)

  ঘ

  24(4 + \u221a3)
• A sphere of radius 21 cm is cut into 8 identical parts by 3 cuts (1 cut along each axis). What will be the total surface area (in cm2) of each part?
  ক

  844.5

  খ

  1732.5

  গ

  1039.5

  ঘ

  1115.6
• The radius and height of a solid cylinder are increased by 2% each. What will be the approximate percentage increase in volume?
  ক

  6.76

  খ

  5.88

  গ

  6.12

  ঘ

  3.34
• A solid cube has side 8 cm. It is cut along diagonals of top face to get 4 equal parts. What is the total surface area (in cm2) of each part?
  ক

  96 + 64\u221a2

  খ

  80 + 64\u221a2

  গ

  96 + 48\u221a2

  ঘ

  80 + 48\u221a2
• PQRS is a square whose side is 16 cm. What is the value of the side (in cm) of the largest regular octagon that can be cut from the given square?
  ক

  8 \u2013 4\u221a2

  খ

  16 + 8\u221a2

  গ

  16\u221a2 \u2013 \u221a16

  ঘ

  16 \u2013 8\u221a2
• The height of a cone is 24 cm and the area of the base is 154 cm2. What is the curved surface area (in cm2) of the cone?
  ক

  484

  খ

  550

  গ

  525

  ঘ

  515
• What can be the maximum number of common tangent which can be drawn to two non-intersecting circles?
  ক

  2

  খ

  4

  গ

  3

  ঘ

  6
• What is the reflection of the point (-2, 5) in the line x = -1?
  ক

  (-2 , -7)

  খ

  (0 , 5)

  গ

  (2 , 5)

  ঘ

  (-2 , 7)
• What is the diameter (in cm) of a sphere of surface area 6.16 sq cm?
  ক

  1.4

  খ

  0.7

  গ

  2.8

  ঘ

  2.1
• What is the slope of the line 2x + 3y = 12?
  ক

  2\/3

  খ

  3\/2

  গ

  -3\/2

  ঘ

  -2\/3
• Which of the set of three sides can't form a triangle?
  ক

  5 cm, 6 cm, 7 cm

  খ

  5 cm, 8 cm, 15 cm

  গ

  8 cm, 15 cm, 18 cm

  ঘ

  6 cm, 7 cm, 11 cm
• If ax - 4y = -6 has a slope of -3/2. What is the value of a?
  ক

  6

  খ

  3

  গ

  -6

  ঘ

  -3
• What is the slope of the line parallel to the line passing through the points (5, -1) and (4, -4)?
  ক

  -3

  খ

  -1\/3

  গ

  3

  ঘ

  1\/3
• What is the area (in sq cm) of a regular hexagon of side 14 cm?
  ক

  147\u221a3

  খ

  441\u221a3

  গ

  196\u221a3

  ঘ

  294\u221a3
• What is the diameter (in cm) of a sphere of surface area 154 sq cm?
  ক

  3.5

  খ

  14

  গ

  10.5

  ঘ

  7
• Calculate the length of the tangent (in cm) which is drawn from a point at a distance of 13 cm from the centre and the largest chord of that circle is 10 cm.
  ক

  10

  খ

  12

  গ

  15

  ঘ

  16
• If the diameter of a circle is 35 cm, then what will be its circumference (in cm)?
  ক

  110

  খ

  220

  গ

  21

  ঘ

  42
• What is the circumference (in cm) of a circle whose area is 616 sq cm?
  ক

  44

  খ

  22

  গ

  66

  ঘ

  88