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? 

1189 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:

The volume of a prism is 288cm3 and height is 24cm. The area of the base of the prism (cm2) is:

1185 0

  • 1
    10
    Correct
    Wrong
  • 2
    15
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    14
    Correct
    Wrong
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Answer : 3. "12"

Q:

The diagonal of a square is equal to the side of an equilateral triangle. If the area of the square is $$ {18\sqrt{3}}$$ sq.cm. What is the area (in cm2) of the equilateral triangle ?

1178 0

  • 1
    $$ {54\sqrt{2}}$$
    Correct
    Wrong
  • 2
    $$ {27\sqrt{2}}$$
    Correct
    Wrong
  • 3
    54
    Correct
    Wrong
  • 4
    27
    Correct
    Wrong
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Answer : 4. "27"

Q:

A straight line parallel to the base QR of the ∆PQR intersect PQ and PR at the points S and T respectively. If the area of the ∆PQT be 36 cm2 then area of the ∆PRS is:

1175 0

  • 1
    $$ {18 {\ cm^{2}}}$$
    Correct
    Wrong
  • 2
    $$ {36 {\ cm^{2}}}$$
    Correct
    Wrong
  • 3
    $$ {28 {\ cm^{2}}}$$
    Correct
    Wrong
  • 4
    $$ {48 {\ cm^{2}}}$$
    Correct
    Wrong
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Answer : 2. "$$ {36 {\ cm^{2}}}$$"

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?

1170 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:

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.

1166 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:

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.

1165 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:

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

1154 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. "$$ {lw\over2}$$"

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