Volume and Surface Area Practice Question and Answer

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?

2150 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:

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?

2143 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:

If a cube whose side is 7.5 cm, what will be its volume?

2138 0

  • 1
    $$ {421.875\ cm^{3}}$$
    Correct
    Wrong
  • 2
    $$ {759.375\ cm^{3}}$$
    Correct
    Wrong
  • 3
    $$ {631.810\ cm^{3}}$$
    Correct
    Wrong
  • 4
    $$ {210.94\ cm^{3}}$$
    Correct
    Wrong
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Answer : 1. "$$ {421.875\ cm^{3}}$$ "

Q:

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

2088 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?

2076 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:

A wire of length 60 m is used to enclose a field which is in the shape of a right - angled triangle. The area of the field is 150 m2 then, the largest side of the field has a length of: 

2056 0

  • 1
    30 meter
    Correct
    Wrong
  • 2
    20 meter
    Correct
    Wrong
  • 3
    25 meter
    Correct
    Wrong
  • 4
    15 meter
    Correct
    Wrong
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Answer : 3. "25 meter"

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? 

2055 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 ratio of the radii of two wheels is 3: 4, then the ratio of their circumferences will be.

2051 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"

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