Volume and Surface Area Practice Question and Answer

Q:

If the length of the diagonal of a square is $${ 10\sqrt{2}}$$ cm, then what will be the area of the square?

1648 0

  • 1
    200 cm2
    Correct
    Wrong
  • 2
    100 cm2
    Correct
    Wrong
  • 3
    $${ 100\sqrt{2}}$$
    Correct
    Wrong
  • 4
    50 cm2
    Correct
    Wrong
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Answer : 2. "100 cm2"

Q:

The ratio of the areas of two circles is 16: 25. What will be the ratio of their circumferences?

1638 0

  • 1
    4 : 5
    Correct
    Wrong
  • 2
    3 : 2
    Correct
    Wrong
  • 3
    4 : 9
    Correct
    Wrong
  • 4
    9 : 4
    Correct
    Wrong
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Answer : 1. "4 : 5 "

Q:

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

1637 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  ?

1632 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:

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?

1632 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:

The height of a cone is 16 cm and radius of its base is 30 cm. If the rate of painting it is Rs.14/cm2, then what will be the total cost in painting the curved surface of cone from outside?

1630 0

  • 1
    Rs. 42220
    Correct
    Wrong
  • 2
    Rs. 44880
    Correct
    Wrong
  • 3
    Rs. 36820
    Correct
    Wrong
  • 4
    Rs.46540
    Correct
    Wrong
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Answer : 2. "Rs. 44880"

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)? 

1630 0

  • 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:

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

1629 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. "$$ {3080}cm^2$$"

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