Volume and Surface Area Practice Question and Answer

Q:

The ratio between the volume (cm3) of a cylinder and the curved surface area (cm2) is numerically 14: 1. If the height of the cylinder is 50 cm, what is the volume of the cylinder (cm3) ?

1069 0

  • 1
    61600
    Correct
    Wrong
  • 2
    92400
    Correct
    Wrong
  • 3
    123200
    Correct
    Wrong
  • 4
    184800
    Correct
    Wrong
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Answer : 3. "123200"

Q:

The base of a right prism is a tringle with sides 20 cm, 21 cm and 29 cm. If its volume is 7560 cm3, then its lateral surface area ( in cm2) is:

1066 0

  • 1
    2556
    Correct
    Wrong
  • 2
    2448
    Correct
    Wrong
  • 3
    2520
    Correct
    Wrong
  • 4
    2484
    Correct
    Wrong
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Answer : 3. "2520"

Q:

What is the total CSA of cone whose radius is 3 cm and height is 4 cm? 

1066 0

  • 1
    $$ { 24 π cm^2}$$
    Correct
    Wrong
  • 2
    $$ { 25 π cm^2}$$
    Correct
    Wrong
  • 3
    $$ { 28 π cm^2}$$
    Correct
    Wrong
  • 4
    $$ { 20 π cm^2}$$
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 1. "$$ { 24 π cm^2}$$"

Q:

The vertices of the 1 cm side are cut from each corner of a square with a side of 4.5 cm. Find the circumference and area of the octagon formed?

1064 0

  • 1
    $$ {5\sqrt{2}}{\ cm};{18.25{\ cm^{2}}}$$
    Correct
    Wrong
  • 2
    $$ {(5+4\sqrt{2})}{\ cm}; {18.25 \ cm^{2}}$$
    Correct
    Wrong
  • 3
    $$ {(10+4\sqrt{2})}{\ cm}; {18.25 \ cm^{2}}$$
    Correct
    Wrong
  • 4
    16 cm and 16 sq.cm
    Correct
    Wrong
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Answer : 3. "$$ {(10+4\sqrt{2})}{\ cm}; {18.25 \ cm^{2}}$$"

Q:

The total surface area of a cube is 864 square cm. What will be its volume?

1064 0

  • 1
    216
    Correct
    Wrong
  • 2
    1728
    Correct
    Wrong
  • 3
    729
    Correct
    Wrong
  • 4
    512
    Correct
    Wrong
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Answer : 2. "1728"

Q:

The volume of a solid right circular cylinder is 5236 cm3, and its height is 34 cm. What is its curved surface area (in cm2)?

1060 0

  • 1
    1496
    Correct
    Wrong
  • 2
    1573
    Correct
    Wrong
  • 3
    1650
    Correct
    Wrong
  • 4
    1804
    Correct
    Wrong
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Answer : 1. "1496"

Q:

The diagonal of a square is 14 cm. What will be the length of the diagonal of the square whose area is double of the area of first square?

1055 0

  • 1
    $$ {28\sqrt{2}{\ cm}}$$
    Correct
    Wrong
  • 2
    $$ {14\sqrt{2}{\ cm}}$$
    Correct
    Wrong
  • 3
    28
    Correct
    Wrong
  • 4
    $$ {21\sqrt{2}{\ cm}}$$
    Correct
    Wrong
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Answer : 2. "$$ {14\sqrt{2}{\ cm}}$$"

Q:

The covered surface area of  a cone of radius 8 cm and height 6 cm is double the covered surface area of a cylinder of radius 4 cm. Find the height of the cylinder?

1054 0

  • 1
    5 cm
    Correct
    Wrong
  • 2
    8 cm
    Correct
    Wrong
  • 3
    10 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 1. "5 cm"

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