Volume and Surface Area Practice Question and Answer

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 -

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  • 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 curved surface area of a cylindrical pillar is $$ {264 m^{2}}$$ and its volume is $$ {924 m^{3}}$$. Find the ratio of its diameter to its height.

1398 0

  • 1
    3 : 7
    Correct
    Wrong
  • 2
    7 : 3
    Correct
    Wrong
  • 3
    6 : 7
    Correct
    Wrong
  • 4
    7 : 6
    Correct
    Wrong
  • 5
    5 : 4
    Correct
    Wrong
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Answer : 2. "7 : 3"

Q:

The area of the base of a right circular cone is 400π and its height is 15 cm. The curved surface of the cone ( in cm2) is:

1397 0

  • 1
    560 π
    Correct
    Wrong
  • 2
    500 π
    Correct
    Wrong
  • 3
    450 π
    Correct
    Wrong
  • 4
    480 π
    Correct
    Wrong
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Answer : 2. "500 π"

Q:

A hollow copper pipe is 22 cm long and its external diameter is 28 cm. If the thickness of the pipe is 3 cm and iron weighs 8.5 g/cm3 , then the weight of the pipe is closest to:

1387 0

  • 1
    34 kg
    Correct
    Wrong
  • 2
    44 kg
    Correct
    Wrong
  • 3
    14 kg
    Correct
    Wrong
  • 4
    24 kg
    Correct
    Wrong
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Answer : 2. "44 kg"

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.

1385 0

  • 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:

What is the area of a rectangle , if its diagonal s 61 cm and one of its sides is 11 cm ? 

1384 0

  • 1
    $$ 660cm^2$$
    Correct
    Wrong
  • 2
    $$ 720cm^2$$
    Correct
    Wrong
  • 3
    $$ 616cm^2$$
    Correct
    Wrong
  • 4
    $$ 633cm^2$$
    Correct
    Wrong
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Answer : 1. "$$ 660cm^2$$"

Q:

If the ratio of the areas of two similar triangle ABC and DEF is 36:81 and EF = 6.9 cm., then BC is equal to –

1379 0

  • 1
    4.6 cm.
    Correct
    Wrong
  • 2
    6.4 cm.
    Correct
    Wrong
  • 3
    4 cm.
    Correct
    Wrong
  • 4
    6 cm.
    Correct
    Wrong
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Answer : 1. "4.6 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?

1377 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"

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