Volume and Surface Area Questions Practice Question and Answer

Q:

A field roller, in the shape of a cylinder, has a diameter of 1 meter and length of $$ {1}{1\over4}$$ meter. If the speed at which the roller rolls is 14 revolutions per minute, then the maximum area ( in m2) that it can roll in 1 hour is:

725 0

  • 1
    3600
    Correct
    Wrong
  • 2
    3560
    Correct
    Wrong
  • 3
    3960
    Correct
    Wrong
  • 4
    3300
    Correct
    Wrong
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Answer : 4. "3300"

Q:

A wire of length 60 m is used to enclose a field which is in the shape of a right - angled triangle. The area of the field is 150 m2 then, the largest side of the field has a length of: 

720 0

  • 1
    30 meter
    Correct
    Wrong
  • 2
    20 meter
    Correct
    Wrong
  • 3
    25 meter
    Correct
    Wrong
  • 4
    15 meter
    Correct
    Wrong
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Answer : 3. "25 meter"

Q:

The ratio of the areas of two circles is 16: 25. What will be the ratio of their circumferences?

717 0

  • 1
    4 : 5
    Correct
    Wrong
  • 2
    3 : 2
    Correct
    Wrong
  • 3
    4 : 9
    Correct
    Wrong
  • 4
    9 : 4
    Correct
    Wrong
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Answer : 1. "4 : 5 "

Q:

A solid cube, whose diagonal is $$ 128 {\ sqrt {2}} \ cm $$, is molded to form a cuboid. The length and width of the cuboid are 512 cm and 160 cm, respectively. What is the height of the cuboid?

710 0

  • 1
    16 cm
    Correct
    Wrong
  • 2
    25.6 cm
    Correct
    Wrong
  • 3
    20.8 cm
    Correct
    Wrong
  • 4
    16.4 cm
    Correct
    Wrong
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Answer : 2. "25.6 cm"

Q:

A cuboidal block of 6 cm × 9 cm ×12 cm is cut into exact number of equal cubes. The least possible number of cubes will be:

705 0

  • 1
    6
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    24
    Correct
    Wrong
  • 4
    30
    Correct
    Wrong
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Answer : 3. "24"

Q:

If an equilateral triangle is inscribed in a circle of area 48 π square units, then the perimeter of the triangle is:

704 0

  • 1
    72 units
    Correct
    Wrong
  • 2
    36 units
    Correct
    Wrong
  • 3
    48 units
    Correct
    Wrong
  • 4
    $${48}{\sqrt{3}}$$ units
    Correct
    Wrong
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Answer : 2. "36 units"

Q:

A right pyramid stands on a rectangular base whose sides are 24 cm and 18 cm and on the shorter side, the slant height is 17 cm. Find the volume of the pyramid.

703 0

  • 1
    1735.5 cm3
    Correct
    Wrong
  • 2
    1152 cm3
    Correct
    Wrong
  • 3
    1733.5 cm3
    Correct
    Wrong
  • 4
    1752 cm3
    Correct
    Wrong
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Answer : 2. "1152 cm3"

Q:

The area of a triangle is 24 square cm. If one side of it is 4 cm, what will be the height of the triangle?

703 0

  • 1
    15 cm
    Correct
    Wrong
  • 2
    18 cm
    Correct
    Wrong
  • 3
    24 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 4. "12 cm"

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