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? 

693 0

  • 1
    500.50
    Correct
    Wrong
  • 2
    575.60
    Correct
    Wrong
  • 3
    521.20
    Correct
    Wrong
  • 4
    560.70
    Correct
    Wrong
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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 ? 

669 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
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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:

883 0

  • 1
    15.2
    Correct
    Wrong
  • 2
    14.8
    Correct
    Wrong
  • 3
    15.6
    Correct
    Wrong
  • 4
    14.2
    Correct
    Wrong
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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?

733 0

  • 1
    288 cm3
    Correct
    Wrong
  • 2
    256 cm3
    Correct
    Wrong
  • 3
    128 cm3
    Correct
    Wrong
  • 4
    192 cm3
    Correct
    Wrong
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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

760 0

  • 1
    $$ {288\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {208\sqrt{2}}$$
    Correct
    Wrong
  • 3
    $$ {288\sqrt{2}}$$
    Correct
    Wrong
  • 4
    288
    Correct
    Wrong
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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

1078 0

  • 1
    42
    Correct
    Wrong
  • 2
    14
    Correct
    Wrong
  • 3
    10.5
    Correct
    Wrong
  • 4
    21
    Correct
    Wrong
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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.

723 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
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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.

691 0

  • 1
    3 : 7
    Correct
    Wrong
  • 2
    7 : 3
    Correct
    Wrong
  • 3
    6 : 7
    Correct
    Wrong
  • 4
    7 : 6
    Correct
    Wrong
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Answer : 2. "7 : 3"

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