Volume and Surface Area Practice Question and Answer

Q:

The perimeter of a circle is equal to the square perimeter. What will be the ratio of their areas?

714 0

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

Q:

A straight line parallel to the base QR of the ∆PQR intersect PQ and PR at the points S and T respectively. If the area of the ∆PQT be 36 cm2 then area of the ∆PRS is:

709 0

  • 1
    $$ {18 {\ cm^{2}}}$$
    Correct
    Wrong
  • 2
    $$ {36 {\ cm^{2}}}$$
    Correct
    Wrong
  • 3
    $$ {28 {\ cm^{2}}}$$
    Correct
    Wrong
  • 4
    $$ {48 {\ cm^{2}}}$$
    Correct
    Wrong
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Answer : 2. "$$ {36 {\ cm^{2}}}$$"

Q:

What is the area of the largest triangle that can be fitted into a rectangle of length 'l' units and width 'w' units?

709 0

  • 1
    $$ {lw\over3}$$
    Correct
    Wrong
  • 2
    $$ {2lw\over3}$$
    Correct
    Wrong
  • 3
    $$ {3lw\over3}$$
    Correct
    Wrong
  • 4
    $$ {lw\over2}$$
    Correct
    Wrong
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Answer : 4. "$$ {lw\over2}$$"

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?

702 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:

There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres) of the path? 

702 0

  • 1
    500.50
    Correct
    Wrong
  • 2
    575.60
    Correct
    Wrong
  • 3
    521.20
    Correct
    Wrong
  • 4
    560.70
    Correct
    Wrong
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Answer : 1. "500.50 "

Q:

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

697 0

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

Q:

The radius of a cone is 20 cm and height is 21 cm, the total surface area of the cone is in square cm:

689 0

  • 1
    3080
    Correct
    Wrong
  • 2
    3160
    Correct
    Wrong
  • 3
    2920
    Correct
    Wrong
  • 4
    3240
    Correct
    Wrong
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Answer : 1. "3080"
Explanation :

$$ {πr^2+πrl}$$


Q:

In a circle, difference between the circumference and radius is 37 cm. Find the area (in cm²) of the circle?

682 0

  • 1
    616
    Correct
    Wrong
  • 2
    154
    Correct
    Wrong
  • 3
    308
    Correct
    Wrong
  • 4
    77
    Correct
    Wrong
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Answer : 2. "154 "

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