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) ?

826 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 ratio of the radii of two wheels is 3: 4, then the ratio of their circumferences will be.

1406 0

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

Q:

If the area of a triangle is 616 square cm, then its perimeter will be-

845 0

  • 1
    88 cm
    Correct
    Wrong
  • 2
    44 cm
    Correct
    Wrong
  • 3
    132 cm
    Correct
    Wrong
  • 4
    161 cm
    Correct
    Wrong
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Answer : 1. "88 cm "

Q:

If the perimeter of a circular plot is equal to the perimeter of a square plot, what will be the ratio of their areas?

876 0

  • 1
    12:11
    Correct
    Wrong
  • 2
    14:11
    Correct
    Wrong
  • 3
    6:11
    Correct
    Wrong
  • 4
    7:11
    Correct
    Wrong
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Answer : 2. "14:11"

Q:

If each edge of a cube is reduced by 25 percent, find the ratio of the volume of the original cube and the resulting cube?

1225 0

  • 1
    8:1
    Correct
    Wrong
  • 2
    27:64
    Correct
    Wrong
  • 3
    64:1
    Correct
    Wrong
  • 4
    64:27
    Correct
    Wrong
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Answer : 3. "64:1"

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?

793 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:

From a right cone of height h and with base radius r a cone has been cut of from the centre of the height. The volume of remaining frustum of the cone is.

920 0

  • 1
    $$ {1\over3}π{r^{2}}h$$
    Correct
    Wrong
  • 2
    $$ {1\over24}π{r^{2}}h$$
    Correct
    Wrong
  • 3
    $$ {7\over24}π{r^{2}}h$$
    Correct
    Wrong
  • 4
    $$ {1\over8}π{r^{2}}h$$
    Correct
    Wrong
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Answer : 3. "$$ {7\over24}π{r^{2}}h$$"

Q:

The perimeter of a square and an equilateral triangle is the same if the length of the diagonal of the square is $$ {12 \ sqrt {2}} $$ cm. If, what will be the area of the triangle?

1336 0

  • 1
    $$ {64\sqrt{3}}$$ sq.cm
    Correct
    Wrong
  • 2
    $$ {32\sqrt{3}}$$ sq.cm
    Correct
    Wrong
  • 3
    $$ {24\sqrt{3}}$$ sq.cm
    Correct
    Wrong
  • 4
    $$ {28\sqrt{3}}$$ sq.cm
    Correct
    Wrong
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Answer : 1. "$$ {64\sqrt{3}}$$ sq.cm"

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