Volume and Surface Area Practice Question and Answer

Q:

Area of a rectangle is equal to the area of a circle whose radius is 14 cm. If the breadth of the rectangle is 22 cm, what is its length?

1549 0

  • 1
    24 cm
    Correct
    Wrong
  • 2
    28 cm
    Correct
    Wrong
  • 3
    26 cm
    Correct
    Wrong
  • 4
    Cannot be determined
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 2. "28 cm"

Q:

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

1548 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. "$$ {(\sqrt{2}-1)R}$$"

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  ?

1545 0

  • 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:

In the given figure, PQRS is square whose side is 8 cm. PQS and QPR are two quadrants. A circle is placed touching both the quadrants and the square as shown in the figure. What is the area ( in cm2 ) of the circle ?

1540 0

  • 1
    $$ {19\over 39}$$
    Correct
    Wrong
  • 2
    $$ {20\over 21}$$
    Correct
    Wrong
  • 3
    $$ {11\over 14}$$
    Correct
    Wrong
  • 4
    $$ {11\over 19}$$
    Correct
    Wrong
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Answer : 3. "$$ {11\over 14}$$"

Q:

Find the area of a white sheet required to prepare a cone with a height of 21cm and the radius of 20cm.

1539 0

  • 1
    $$ {3080}cm^2$$
    Correct
    Wrong
  • 2
    $$ {2300}cm^2$$
    Correct
    Wrong
  • 3
    $$ {3460}cm^2$$
    Correct
    Wrong
  • 4
    $$ {3600}cm^2$$
    Correct
    Wrong
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Answer : 1. "$$ {3080}cm^2$$"

Q:

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

1534 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:

An iron pipe 20 cm long has exterior diameter 25 cm. If the thickness of the pipe is 1 cm, then the whole surface area of the pipe?

1531 0

  • 1
    $$ {3168\ cm^{2}}$$
    Correct
    Wrong
  • 2
    $$ {3186\ cm^{2}}$$
    Correct
    Wrong
  • 3
    $$ {3200\ cm^{2}}$$
    Correct
    Wrong
  • 4
    $$ {3150\ cm^{2}}$$
    Correct
    Wrong
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Answer : 1. "$$ {3168\ cm^{2}}$$"

Q:

Find the area of triangle whose medians are 8 cm, 15 cm and 17 cm respectively?

1529 0

  • 1
    $$20 cm^2$$
    Correct
    Wrong
  • 2
    $$15 cm^2$$
    Correct
    Wrong
  • 3
    $$24 cm^2$$
    Correct
    Wrong
  • 4
    $$28 cm^2$$
    Correct
    Wrong
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Answer : 1. "$$20 cm^2$$"

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