Volume and Surface Area Practice Question and Answer

Q:

The covered surface area of  a cone of radius 8 cm and height 6 cm is double the covered surface area of a cylinder of radius 4 cm. Find the height of the cylinder?

1574 0

  • 1
    5 cm
    Correct
    Wrong
  • 2
    8 cm
    Correct
    Wrong
  • 3
    10 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 1. "5 cm"

Q:

The diameter of a circle is equal to the perimeter of a square whose area is 3136 sq cm. What is the circumference of the circle?

1570 0

  • 1
    352 cm
    Correct
    Wrong
  • 2
    704 cm
    Correct
    Wrong
  • 3
    394 cm
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "704 cm"

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?

1564 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 diagonal of a square is equal to the side of an equilateral triangle. If the area of the square is $$ {18\sqrt{3}}$$ sq.cm. What is the area (in cm2) of the equilateral triangle ?

1562 0

  • 1
    $$ {54\sqrt{2}}$$
    Correct
    Wrong
  • 2
    $$ {27\sqrt{2}}$$
    Correct
    Wrong
  • 3
    54
    Correct
    Wrong
  • 4
    27
    Correct
    Wrong
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Answer : 4. "27"

Q:

The length, width and height of a cuboid are 18 cm, 24 cm, and 4 cm, respectively. The volume of the cube is equal to the volume of the given cuboid. The arm of the cube is:

1558 0

  • 1
    16 cm
    Correct
    Wrong
  • 2
    12 cm
    Correct
    Wrong
  • 3
    9 cm
    Correct
    Wrong
  • 4
    8 cm
    Correct
    Wrong
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Answer : 2. "12 cm"

Q:

The base of a right prism is a tringle with sides 20 cm, 21 cm and 29 cm. If its volume is 7560 cm3, then its lateral surface area ( in cm2) is:

1557 0

  • 1
    2556
    Correct
    Wrong
  • 2
    2448
    Correct
    Wrong
  • 3
    2520
    Correct
    Wrong
  • 4
    2484
    Correct
    Wrong
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Answer : 3. "2520"

Q:

The ratio of the sides of a triangle is 3: 4: a and the area of this triangle is 216 square cm. And the perimeter of this triangle is 72 cm. Then the value of a will be -

1552 0

  • 1
    8 cm
    Correct
    Wrong
  • 2
    5 cm
    Correct
    Wrong
  • 3
    6 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 2. "5 cm"

Q:

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

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  • 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. "$$ {(3-2\sqrt{2})}{\ p^{2}} sq.unit $$"

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