Volume and Surface Area Practice Question and Answer

Q:

A right circular cylinder is formed by rolling a rectangular sheet of metal of length 44 cm and breath 20 cm along its length. The volume of cylinder is_

1290 0

  • 1
    3080
    Correct
    Wrong
  • 2
    4090
    Correct
    Wrong
  • 3
    4095
    Correct
    Wrong
  • 4
    5000
    Correct
    Wrong
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Answer : 1. "3080 "

Q:

A solid cube, whose diagonal is $$ 128 {\ sqrt {2}} \ cm $$, is molded to form a cuboid. The length and width of the cuboid are 512 cm and 160 cm, respectively. What is the height of the cuboid?

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  • 1
    16 cm
    Correct
    Wrong
  • 2
    25.6 cm
    Correct
    Wrong
  • 3
    20.8 cm
    Correct
    Wrong
  • 4
    16.4 cm
    Correct
    Wrong
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Answer : 2. "25.6 cm"

Q:

A wall is the form of a trapezium with height 8 m and parallel sides being 5 m and 10 m. What is the cost of painting the wall, if the rate of painting is Rs. 50 per square meter  ?

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  • 1
    Rs.5000
    Correct
    Wrong
  • 2
    Rs.3000
    Correct
    Wrong
  • 3
    Rs.6000
    Correct
    Wrong
  • 4
    Rs .4000
    Correct
    Wrong
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Answer : 2. "Rs.3000"

Q:

A hollow iron pipe is 21 cm long and its exterior diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weights $$ 8 g/cm^3 $$, then the weight of the pipe ($$ π= {22\over7}$$) is. 

1278 0

  • 1
    3.696 kg
    Correct
    Wrong
  • 2
    3.6 kg
    Correct
    Wrong
  • 3
    36 kg
    Correct
    Wrong
  • 4
    36.9 kg
    Correct
    Wrong
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Answer : 1. "3.696 kg "

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

1277 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:

The area of square field is $$ ({69696})^{2}$$. Its diagonal will be equal to (use √2 = 1.414) 

1277 0

  • 1
    313.296 m
    Correct
    Wrong
  • 2
    353.296 m
    Correct
    Wrong
  • 3
    373.296 m
    Correct
    Wrong
  • 4
    393.296 m
    Correct
    Wrong
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Answer : 3. "373.296 m "

Q:

The length of the diagonal of a square is 'a' cm. Which of the following represents the area of the square (in sq. cm)? 

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  • 1
    2a
    Correct
    Wrong
  • 2
    a\√2
    Correct
    Wrong
  • 3
    $$a^2\2$$
    Correct
    Wrong
  • 4
    $$a2\4$$
    Correct
    Wrong
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Answer : 3. "$$a^2\2$$"

Q:

In the given figure if each of the outer circles have radii ‘R’, then the radius of the inner circle will be:

1260 0

  • 1
    $$ {2\over ({\sqrt{2}+1})R}$$
    Correct
    Wrong
  • 2
    $$ {1\over {\sqrt{2}}}R$$
    Correct
    Wrong
  • 3
    $$ {(\sqrt{2}-1)R}$$
    Correct
    Wrong
  • 4
    $$ {\sqrt{2}R}$$
    Correct
    Wrong
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Answer : 3. "$$ {(\sqrt{2}-1)R}$$"

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