Volume and Surface Area Practice Question and Answer

Q:

A solid metallic sphere of radius x cm is melted and then drawn into 126 cones each of radius 3.5 cm and height 3 cm. There is no wastage of material in this process. What is the value of x?

1617 0

  • 1
    10.5
    Correct
    Wrong
  • 2
    3.5
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    21
    Correct
    Wrong
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Answer : 1. "10.5"

Q:

A circular park whose diameter is 210 m has a 5 m wide path running around it(on the outside). What is the area ( in m2) of the path?

785 0

  • 1
    1020 π
    Correct
    Wrong
  • 2
    1075 π
    Correct
    Wrong
  • 3
    1050 π
    Correct
    Wrong
  • 4
    1100 π
    Correct
    Wrong
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Answer : 2. "1075 π"

Q:

The area of a triangle is 24 square cm. If one side of it is 4 cm, what will be the height of the triangle?

919 0

  • 1
    15 cm
    Correct
    Wrong
  • 2
    18 cm
    Correct
    Wrong
  • 3
    24 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 4. "12 cm"

Q:

If a side of a square is a, then what will be the area of the square on its diagonal?

845 0

  • 1
    $$ {\sqrt{2}a^{2}}$$
    Correct
    Wrong
  • 2
    $$ {{2}a^{2}}$$
    Correct
    Wrong
  • 3
    $$ {{5}a^{2}}$$
    Correct
    Wrong
  • 4
    $$ {a^{2}}$$
    Correct
    Wrong
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Answer : 2. "$$ {{2}a^{2}}$$"

Q:

If the height of a perpendicular cylinder is 10 cm and its curved surface area is 440 square cm, what is its radius?

827 0

  • 1
    17.5 cm
    Correct
    Wrong
  • 2
    10.5 cm
    Correct
    Wrong
  • 3
    14 cm
    Correct
    Wrong
  • 4
    7 cm
    Correct
    Wrong
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Answer : 4. "7 cm"

Q:

The total surface area of a cube is 864 square cm. What will be its volume?

833 0

  • 1
    216
    Correct
    Wrong
  • 2
    1728
    Correct
    Wrong
  • 3
    729
    Correct
    Wrong
  • 4
    512
    Correct
    Wrong
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Answer : 2. "1728"

Q:

What will be the area of the curved surface of an elliptical cylinder whose height and diameter are 10 cm and 8 cm respectively?

746 0

  • 1
    20 π
    Correct
    Wrong
  • 2
    168 π
    Correct
    Wrong
  • 3
    80 π
    Correct
    Wrong
  • 4
    40 π
    Correct
    Wrong
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Answer : 3. "80 π"

Q:

The area covered by a square is 308 square cm. The length of the diagonal of the square is.

985 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 "

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