Volume and Surface Area Questions Practice Question and Answer

Q:

Find the area of a quadrilateral whose diagonal is 10 cm. And the length of the length put on it is 6 cm and 5 cm respectively. 

1437 0

  • 1
    55 sq.cm
    Correct
    Wrong
  • 2
    40 sq.cm
    Correct
    Wrong
  • 3
    45 sq.cm
    Correct
    Wrong
  • 4
    90 sq.cm
    Correct
    Wrong
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Answer : 1. "55 sq.cm"

Q:

The vertices of the 1 cm side are cut from each corner of a square with a side of 4.5 cm. Find the circumference and area of the octagon formed?

1424 0

  • 1
    $$ {5\sqrt{2}}{\ cm};{18.25{\ cm^{2}}}$$
    Correct
    Wrong
  • 2
    $$ {(5+4\sqrt{2})}{\ cm}; {18.25 \ cm^{2}}$$
    Correct
    Wrong
  • 3
    $$ {(10+4\sqrt{2})}{\ cm}; {18.25 \ cm^{2}}$$
    Correct
    Wrong
  • 4
    16 cm and 16 sq.cm
    Correct
    Wrong
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Answer : 3. "$$ {(10+4\sqrt{2})}{\ cm}; {18.25 \ cm^{2}}$$"

Q:

A straight line parallel to the base QR of the ∆PQR intersect PQ and PR at the points S and T respectively. If the area of the ∆PQT be 36 cm2 then area of the ∆PRS is:

1420 0

  • 1
    $$ {18 {\ cm^{2}}}$$
    Correct
    Wrong
  • 2
    $$ {36 {\ cm^{2}}}$$
    Correct
    Wrong
  • 3
    $$ {28 {\ cm^{2}}}$$
    Correct
    Wrong
  • 4
    $$ {48 {\ cm^{2}}}$$
    Correct
    Wrong
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Answer : 2. "$$ {36 {\ cm^{2}}}$$"

Q:

Three solid metallic sphere whose radii are 3cm, x cm and 18cm respectively, are melted and recast into a single solid sphere of diameter 38cm. Then find the total surface area of the sphere with radius x cm?

1416 0

  • 1
    300 π
    Correct
    Wrong
  • 2
    400 π
    Correct
    Wrong
  • 3
    100 π
    Correct
    Wrong
  • 4
    200 π
    Correct
    Wrong
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Answer : 2. "400 π "

Q:

The diameter of a roller is 84 cm and its length is 120 cm. It makes 500 complete revolutions to move once over to level a playground. Find the area of the playground.

1412 0

  • 1
    1590 sq.cm
    Correct
    Wrong
  • 2
    1594 sq.cm
    Correct
    Wrong
  • 3
    1580 sq.cm
    Correct
    Wrong
  • 4
    1584 sq.cm
    Correct
    Wrong
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Answer : 4. "1584 sq.cm"

Q:

The perimeter of a circle is equal to the square perimeter. What will be the ratio of their areas?

1405 0

  • 1
    4 : 1
    Correct
    Wrong
  • 2
    11 : 7
    Correct
    Wrong
  • 3
    14:11
    Correct
    Wrong
  • 4
    11:14
    Correct
    Wrong
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Answer : 3. "14:11"

Q:

The volume of a prism is 288cm3 and height is 24cm. The area of the base of the prism (cm2) is:

1405 0

  • 1
    10
    Correct
    Wrong
  • 2
    15
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    14
    Correct
    Wrong
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Answer : 3. "12"

Q:

The radius of a cone is 20 cm and height is 21 cm, the total surface area of the cone is in square cm:

1395 0

  • 1
    3080
    Correct
    Wrong
  • 2
    3160
    Correct
    Wrong
  • 3
    2920
    Correct
    Wrong
  • 4
    3240
    Correct
    Wrong
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Answer : 1. "3080"
Explanation :

$$ {πr^2+πrl}$$


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