Volume and Surface Area Questions Practice Question and Answer

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?

558 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

548 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

779 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.

515 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.

503 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"

Q:

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is $$ {4 m^{3}}$$ , then the rise in the water level in the tank will be:

516 0

  • 1
    20 cm
    Correct
    Wrong
  • 2
    50 cm
    Correct
    Wrong
  • 3
    35 cm
    Correct
    Wrong
  • 4
    25 cm
    Correct
    Wrong
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Answer : 4. "25 cm"

Q:

What is the area of the largest triangle that can be fitted into a rectangle of length 'l' units and width 'w' units?

502 0

  • 1
    $$ {lw\over3}$$
    Correct
    Wrong
  • 2
    $$ {2lw\over3}$$
    Correct
    Wrong
  • 3
    $$ {3lw\over3}$$
    Correct
    Wrong
  • 4
    $$ {lw\over2}$$
    Correct
    Wrong
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Answer : 4. "$$ {lw\over2}$$"

Q:

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

468 0

  • 1
    $$ {9\sqrt{3}:1}$$
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    18
    Correct
    Wrong
  • 4
    $$ {12\sqrt{3}:1}$$
    Correct
    Wrong
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Answer : 1. "$$ {9\sqrt{3}:1}$$"

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