Volume and Surface Area Questions Practice Question and Answer

Q:

Area of a circle inscribed in a square is 308 cm2.The length of the diagonal of the square is

1521 0

  • 1
    16 cm
    Correct
    Wrong
  • 2
    28 cm
    Correct
    Wrong
  • 3
    24 cm
    Correct
    Wrong
  • 4
    22 cm
    Correct
    Wrong
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Answer : 2. "28 cm"

Q:

Two 6 cm diameter balls dipped in a 6 cm radius cylindrical vessel of water. Find the height of water in the vessel?

1518 0

  • 1
    1 cm
    Correct
    Wrong
  • 2
    2 cm
    Correct
    Wrong
  • 3
    3 cm
    Correct
    Wrong
  • 4
    4 cm
    Correct
    Wrong
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Answer : 2. " 2 cm"

Q:

A cuboidal block of 6 cm × 9 cm ×12 cm is cut into exact number of equal cubes. The least possible number of cubes will be:

1516 0

  • 1
    6
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    24
    Correct
    Wrong
  • 4
    30
    Correct
    Wrong
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Answer : 3. "24"

Q:

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

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  • 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:

The ratio of curved surface area and volume of a cylinder is 1 : 7. The ratio of total surface area and volume is 187 : 770. What is the respective ratio of its base radius and height?

1509 0

  • 1
    7:15
    Correct
    Wrong
  • 2
    8:7
    Correct
    Wrong
  • 3
    7:10
    Correct
    Wrong
  • 4
    7:12
    Correct
    Wrong
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Answer : 3. "7:10"

Q:

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

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  • 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:

If a chord of length 30 cm is at a distance of 8 cm from the center of the circle, then the length of the chord of the same circle which is at a distance of 15 cm from the center is equal to

1478 0

  • 1
    12 cm
    Correct
    Wrong
  • 2
    18 cm.
    Correct
    Wrong
  • 3
    16 cm
    Correct
    Wrong
  • 4
    20 cm.
    Correct
    Wrong
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Answer : 3. "16 cm"

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 ?

1474 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. "$$ {11\over 14}$$"

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