Volume and Surface Area Questions Practice Question and Answer

Q:

The ratio of Volume of two spheres A and B is 8 : 1. The Surface Area of Sphere B is 616 cm2. Find the radius of sphere A.

1166 0

  • 1
    14 cm
    Correct
    Wrong
  • 2
    16 cm
    Correct
    Wrong
  • 3
    10 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "14 cm "

Q:

The curved surface area of cylindrical pillar is $$ {264 m^{2}}$$ and its volume is $$ {924 m^{3}}$$. Find the ratio of its diameter to its height.

1165 0

  • 1
    3 : 7
    Correct
    Wrong
  • 2
    7 : 3
    Correct
    Wrong
  • 3
    6 : 7
    Correct
    Wrong
  • 4
    7 : 6
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "7 : 3"

Q:

The perimeter of an isosceles, right angled triangle is 2p unit. The area of the same triangle is

1163 0

  • 1
    $$ {(3-2\sqrt{2})}{\ p^{2}} sq.unit $$
    Correct
    Wrong
  • 2
    $$ {(2+\sqrt{2})}{\ p^{2}} sq.unit $$
    Correct
    Wrong
  • 3
    $$ {(2-\sqrt{2})}{\ p^{2}} sq.unit $$
    Correct
    Wrong
  • 4
    $$ {(3-\sqrt{2})}{\ p^{2}} sq.unit $$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "$$ {(3-2\sqrt{2})}{\ p^{2}} sq.unit $$"

Q:

The length, width and height of a cuboid are 18 cm, 24 cm, and 4 cm, respectively. The volume of the cube is equal to the volume of the given cuboid. The arm of the cube is:

1163 0

  • 1
    16 cm
    Correct
    Wrong
  • 2
    12 cm
    Correct
    Wrong
  • 3
    9 cm
    Correct
    Wrong
  • 4
    8 cm
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "12 cm"

Q:

The edges of a cuboid are in the ratio 1 : 2: 3 and its surface area is  88 sq.cm. The volume of the cuboid is:

1163 0

  • 1
    24
    Correct
    Wrong
  • 2
    48
    Correct
    Wrong
  • 3
    64
    Correct
    Wrong
  • 4
    120
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "48"

Q:

The figure below is an equilateral triangle with sides of length 6. What is the area of the triangle?

1163 0

  • 1
    $$ {9\sqrt{3}:1}$$
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    18
    Correct
    Wrong
  • 4
    $$ {12\sqrt{3}:1}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "$$ {9\sqrt{3}:1}$$"

Q:

The diagonal of a square is 14 cm. What will be the length of the diagonal of the square whose area is double of the area of first square?

1162 0

  • 1
    $$ {28\sqrt{2}{\ cm}}$$
    Correct
    Wrong
  • 2
    $$ {14\sqrt{2}{\ cm}}$$
    Correct
    Wrong
  • 3
    28
    Correct
    Wrong
  • 4
    $$ {21\sqrt{2}{\ cm}}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "$$ {14\sqrt{2}{\ cm}}$$"

Q:

The total surface area of a cube is 864 square cm. What will be its volume?

1162 0

  • 1
    216
    Correct
    Wrong
  • 2
    1728
    Correct
    Wrong
  • 3
    729
    Correct
    Wrong
  • 4
    512
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "1728"

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully