Volume and Surface Area Practice Question and Answer

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?

1607 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"

Q:

The cost of fencing a circular plot at the rate of Rs.15 per meters Rs. 3,300. What will be the cost of flooring the plot at the rate a Rs . 100 per square meter? 

1567 0

  • 1
    Rs. 3,85,000
    Correct
    Wrong
  • 2
    Rs. 2,20,000
    Correct
    Wrong
  • 3
    Rs. 3,50,000
    Correct
    Wrong
  • 4
    Cannot be determined
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 1. "Rs. 3,85,000 "

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: 

1563 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:

The base of a right circular cone has the same radius a as that of a sphere. Both the sphere and the Cone have the same volume. Height of the cone is:

1544 0

  • 1
    3a
    Correct
    Wrong
  • 2
    $$ {7\over4}a$$
    Correct
    Wrong
  • 3
    $$ {7\over3}a$$
    Correct
    Wrong
  • 4
    4a
    Correct
    Wrong
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Answer : 4. "4a"

Q:

Find the shaded area in the given figure. If each circle having radius of 7cm?

1543 0

  • 1
    48 sq.cm
    Correct
    Wrong
  • 2
    44 sq.cm
    Correct
    Wrong
  • 3
    45 sq.cm
    Correct
    Wrong
  • 4
    42 sq.cm
    Correct
    Wrong
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Answer : 4. "42 sq.cm"

Q:

A circular ground of radius  7 m is surrounded by a path of width 3.5 m. Find the area of path.

1528 0

  • 1
    202 sq.m
    Correct
    Wrong
  • 2
    154 sq.m
    Correct
    Wrong
  • 3
    192.5 sq.m
    Correct
    Wrong
  • 4
    346.5 sq.m
    Correct
    Wrong
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Answer : 3. "192.5 sq.m"

Q:

A rectangular ground 16m long and 10m breadth. It has a gravel path 2.5m wide all around it on the outside. What is the area of the path?

1486 0

  • 1
    159 m²
    Correct
    Wrong
  • 2
    155 m²
    Correct
    Wrong
  • 3
    187 m²
    Correct
    Wrong
  • 4
    183 m²
    Correct
    Wrong
  • 5
    None of the Above
    Correct
    Wrong
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Answer : 2. "155 m²"

Q:

What is the volume of a cube whose side is 7.5 cm?

1476 0

  • 1
    421.875 cm3
    Correct
    Wrong
  • 2
    759.375 cm3
    Correct
    Wrong
  • 3
    631.81 cm3
    Correct
    Wrong
  • 4
    210.94 cm3
    Correct
    Wrong
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Answer : 1. "421.875 cm3"

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