Volume and Surface Area Practice Question and Answer

Q:

If the ratio of the areas of two similar triangle ABC and DEF is 36:81 and EF = 6.9 cm., then BC is equal to –

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  • 1
    4.6 cm.
    Correct
    Wrong
  • 2
    6.4 cm.
    Correct
    Wrong
  • 3
    4 cm.
    Correct
    Wrong
  • 4
    6 cm.
    Correct
    Wrong
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Answer : 1. "4.6 cm. "

Q:

What will be the area (cm2) of the curved surface of an elliptical cylinder whose height and diameter are 10 cm and 8 cm respectively?

1225 0

  • 1
    20 π
    Correct
    Wrong
  • 2
    80 π
    Correct
    Wrong
  • 3
    160 π
    Correct
    Wrong
  • 4
    40 π
    Correct
    Wrong
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Answer : 2. "80 π"

Q:

The volume of a solid right circular cone is 600 π cm3, and the diameter of its base is 30 cm. The total surface area (in cm2) of the cone is:

1224 0

  • 1
    480 π
    Correct
    Wrong
  • 2
    255 π
    Correct
    Wrong
  • 3
    472 π
    Correct
    Wrong
  • 4
    496 π
    Correct
    Wrong
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Answer : 1. "480 π"

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?

1221 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 volume of a solid right circular cylinder is 5236 cm3, and its height is 34 cm. What is its curved surface area (in cm2)?

1217 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 ratio of the sides of a triangle is 3: 4: a and the area of this triangle is 216 square cm. And the perimeter of this triangle is 72 cm. Then the value of a will be -

1215 0

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

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?

1212 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:

If the height and the radius of the base of a cone are both doubled, the volume of the cone becomes _______ of its previous volume.

1208 0

  • 1
    4 times
    Correct
    Wrong
  • 2
    8 times
    Correct
    Wrong
  • 3
    3 times
    Correct
    Wrong
  • 4
    6 times
    Correct
    Wrong
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Answer : 2. "8 times"

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