Volume and Surface Area Practice Question and Answer

Q:

A field is in the form of an equilateral triangle of side 100 m. A horse is tied to a vertex of the field, with a 15 m long rope. Over what area can the horse graze? 

1730 0

  • 1
    117.85 m²
    Correct
    Wrong
  • 2
    119.85 m²
    Correct
    Wrong
  • 3
    117.35 m²
    Correct
    Wrong
  • 4
    119.35 m2
    Correct
    Wrong
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Answer : 1. "117.85 m² "

Q:

The radius of a semicircle is 35 cm, find its area and perimeter.

1703 0

  • 1
    1040 sq.cm and 140 cm
    Correct
    Wrong
  • 2
    1925 sq.cm and 180 cm
    Correct
    Wrong
  • 3
    1890 sq.cm and 90 cm
    Correct
    Wrong
  • 4
    1730 sq.cm and 90 cm/
    Correct
    Wrong
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Answer : 2. "1925 sq.cm and 180 cm "

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?

1694 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 area of triangle is half the area of square. The perimeter of the square is 224 cm. What is the area of triangle?

1694 0

  • 1
    1856 cm2
    Correct
    Wrong
  • 2
    1658 cm2
    Correct
    Wrong
  • 3
    1558 cm2
    Correct
    Wrong
  • 4
    1586 cm2
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 5. "None of these"
Explanation :

given 4a=224,

a=56, so that Area of square is=a2=56*56
so that Area of Triangle is a2/2=1568

Q:

A square pyramid with side 10 cm has a volume of 400 cm3. Find the total surface area of the pyramid.

1672 0

  • 1
    240 cm2
    Correct
    Wrong
  • 2
    300 cm2
    Correct
    Wrong
  • 3
    420 cm2
    Correct
    Wrong
  • 4
    360 cm2
    Correct
    Wrong
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Answer : 4. "360 cm2"

Q:

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

1664 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:

The volume of a sphere and an elliptical cylinder are the same. The radius of the sphere and cylinder are 21 cm and 14 cm respectively. What is the height of the cylinder?

1641 0

  • 1
    63 cm
    Correct
    Wrong
  • 2
    56 cm
    Correct
    Wrong
  • 3
    42 cm
    Correct
    Wrong
  • 4
    49 cm
    Correct
    Wrong
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Answer : 1. "63 cm"

Q:

What is the total surface area and curved surface area of a solid semi circle with radius of 14 cm?

1618 0

  • 1
    $$ {5544cm^2},1848 cm^2 $$
    Correct
    Wrong
  • 2
    $$ {1848cm^2},1232 cm^2 $$
    Correct
    Wrong
  • 3
    $$ {924cm^2},616 cm^2 $$
    Correct
    Wrong
  • 4
    $$ {2772cm^2},1848 cm^2 $$
    Correct
    Wrong
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Answer : 2. "$$ {1848cm^2},1232 cm^2 $$"

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