Volume and Surface Area Practice Question and Answer

Q:

In the given figure, PQRS is square whose side is 8 cm. PQS and QPR are two quadrants. A circle is placed touching both the quadrants and the square as shown in the figure. What is the area ( in cm2 ) of the circle ?

1326 0

  • 1
    $$ {19\over 39}$$
    Correct
    Wrong
  • 2
    $$ {20\over 21}$$
    Correct
    Wrong
  • 3
    $$ {11\over 14}$$
    Correct
    Wrong
  • 4
    $$ {11\over 19}$$
    Correct
    Wrong
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Answer : 3. "$$ {11\over 14}$$"

Q:

An iron pipe 20 cm long has exterior diameter 25 cm. If the thickness of the pipe is 1 cm, then the whole surface area of the pipe?

1318 0

  • 1
    $$ {3168\ cm^{2}}$$
    Correct
    Wrong
  • 2
    $$ {3186\ cm^{2}}$$
    Correct
    Wrong
  • 3
    $$ {3200\ cm^{2}}$$
    Correct
    Wrong
  • 4
    $$ {3150\ cm^{2}}$$
    Correct
    Wrong
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Answer : 1. "$$ {3168\ cm^{2}}$$"

Q:

In the given figure, the ratio of the area of the largest square to that of the smallest square is:

1314 0

  • 1
    3 : 1
    Correct
    Wrong
  • 2
    4 : 1
    Correct
    Wrong
  • 3
    $$ {\sqrt{2}:1}$$
    Correct
    Wrong
  • 4
    2 : 1
    Correct
    Wrong
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Answer : 3. "$$ {\sqrt{2}:1}$$"

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?

1306 0

  • 1
    159 m²
    Correct
    Wrong
  • 2
    155 m²
    Correct
    Wrong
  • 3
    187 m²
    Correct
    Wrong
  • 4
    183 m²
    Correct
    Wrong
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Answer : 2. "155 m²"

Q:

If the length of the diagonal of a square is $${ 10\sqrt{2}}$$ cm, then what will be the area of the square?

1304 0

  • 1
    200 cm2
    Correct
    Wrong
  • 2
    100 cm2
    Correct
    Wrong
  • 3
    $${ 100\sqrt{2}}$$
    Correct
    Wrong
  • 4
    50 cm2
    Correct
    Wrong
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Answer : 2. "100 cm2"

Q:

The ratio of the areas of two circles is 16: 25. What will be the ratio of their circumferences?

1292 0

  • 1
    4 : 5
    Correct
    Wrong
  • 2
    3 : 2
    Correct
    Wrong
  • 3
    4 : 9
    Correct
    Wrong
  • 4
    9 : 4
    Correct
    Wrong
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Answer : 1. "4 : 5 "

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?

1292 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:

A right circular cylinder is formed by rolling a rectangular sheet of metal of length 44 cm and breath 20 cm along its length. The volume of cylinder is_

1290 0

  • 1
    3080
    Correct
    Wrong
  • 2
    4090
    Correct
    Wrong
  • 3
    4095
    Correct
    Wrong
  • 4
    5000
    Correct
    Wrong
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Answer : 1. "3080 "

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