Volume and Surface Area Questions Practice Question and Answer

Q:

There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres) of the path? 

714 0

  • 1
    500.50
    Correct
    Wrong
  • 2
    575.60
    Correct
    Wrong
  • 3
    521.20
    Correct
    Wrong
  • 4
    560.70
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "500.50 "

Q:

What is the area ( in cm2 ) of the circumcircle of a triangle whose sides are 6 cm , 8 cm and 10 cm respectively ? 

684 0

  • 1
    $$ {275\over 7}$$
    Correct
    Wrong
  • 2
    $$ {2200\over 7}$$
    Correct
    Wrong
  • 3
    $$ {550\over 7}$$
    Correct
    Wrong
  • 4
    $$ {1100\over 7}$$
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "$$ {550\over 7}$$"

Q:

The base of right prism is a trapezium whose parallel sides are 11 cm and 15 cm and the distance between them is 9 cm. If the volume of the prism is 1731.6 cm3, then the height (in cm) of the prism will be:

902 0

  • 1
    15.2
    Correct
    Wrong
  • 2
    14.8
    Correct
    Wrong
  • 3
    15.6
    Correct
    Wrong
  • 4
    14.2
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "14.8"

Q:

The areas of the three adjacent faces of a cuboid are 32 cm2, 24 cm2 and 48cm2. What is the volume of the cuboid?

756 0

  • 1
    288 cm3
    Correct
    Wrong
  • 2
    256 cm3
    Correct
    Wrong
  • 3
    128 cm3
    Correct
    Wrong
  • 4
    192 cm3
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "192 cm3"

Q:

Base of a right pyramid is a square. The length of diagonal of the base is $$ {12\sqrt{2}}$$ cm. If each lateral surface of the pyramid is an equilateral triangle, then its volume (in cu.cm) is

787 0

  • 1
    $$ {288\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {208\sqrt{2}}$$
    Correct
    Wrong
  • 3
    $$ {288\sqrt{2}}$$
    Correct
    Wrong
  • 4
    288
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "$$ {288\sqrt{3}}$$"

Q:

The curved surface area of a right circular cylinder of radius 2 cm is 264 cm2. The height of the cylinder, in cm, is

1105 0

  • 1
    42
    Correct
    Wrong
  • 2
    14
    Correct
    Wrong
  • 3
    10.5
    Correct
    Wrong
  • 4
    21
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "21"

Q:

The diameter of a roller is 84 cm and its length is 120 cm. It makes 500 complete revolutions to move once over to level a playground. Find the area of the playground.

745 0

  • 1
    1590 sq.cm
    Correct
    Wrong
  • 2
    1594 sq.cm
    Correct
    Wrong
  • 3
    1580 sq.cm
    Correct
    Wrong
  • 4
    1584 sq.cm
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "1584 sq.cm"

Q:

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

711 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"

      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