Volume and Surface Area Questions Practice Question and Answer

Q:

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

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  • 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:

The ratio of Volume of two spheres A and B is 8 : 1. The Surface Area of Sphere B is 616 cm2. Find the radius of sphere A.

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  • 1
    14 cm
    Correct
    Wrong
  • 2
    16 cm
    Correct
    Wrong
  • 3
    10 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 1. "14 cm "

Q:

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

1090 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 measure of a cuboid warehouse is (8 m x 6 m x 3 m). If each sack covers 0.48 cubic meters of space, how many maximum sacks can be kept in it?

1087 0

  • 1
    221
    Correct
    Wrong
  • 2
    300
    Correct
    Wrong
  • 3
    320
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "300"

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?

1087 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 slant height of a right circular cone is 15 m and its height is 9 m. The area of its curved surface, is:

1076 0

  • 1
    169 π m2
    Correct
    Wrong
  • 2
    172 π m2
    Correct
    Wrong
  • 3
    165 π m2
    Correct
    Wrong
  • 4
    180 π m2
    Correct
    Wrong
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Answer : 4. "180 π m2"

Q:

The perimeter of an isosceles, right angled triangle is 2p unit. The area of the same triangle is

1076 0

  • 1
    $$ {(3-2\sqrt{2})}{\ p^{2}} sq.unit $$
    Correct
    Wrong
  • 2
    $$ {(2+\sqrt{2})}{\ p^{2}} sq.unit $$
    Correct
    Wrong
  • 3
    $$ {(2-\sqrt{2})}{\ p^{2}} sq.unit $$
    Correct
    Wrong
  • 4
    $$ {(3-\sqrt{2})}{\ p^{2}} sq.unit $$
    Correct
    Wrong
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Answer : 1. "$$ {(3-2\sqrt{2})}{\ p^{2}} sq.unit $$"

Q:

A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is 

1076 0

  • 1
    1.4 cm
    Correct
    Wrong
  • 2
    1.8 cm
    Correct
    Wrong
  • 3
    2.1 cm
    Correct
    Wrong
  • 4
    2.5 cm
    Correct
    Wrong
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Answer : 4. "2.5 cm"

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