Volume and Surface Area Practice Question and Answer

Q:

If the height and the radius of the base of a cone are both doubled, the volume of the cone becomes _______ of its previous volume.

1345 0

  • 1
    4 times
    Correct
    Wrong
  • 2
    8 times
    Correct
    Wrong
  • 3
    3 times
    Correct
    Wrong
  • 4
    6 times
    Correct
    Wrong
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Answer : 2. "8 times"

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?

1344 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:

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. 

1341 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:

There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres) of the path? 

1338 0

  • 1
    500.50
    Correct
    Wrong
  • 2
    575.60
    Correct
    Wrong
  • 3
    521.20
    Correct
    Wrong
  • 4
    560.70
    Correct
    Wrong
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Answer : 1. "500.50 "

Q:

A square and an equilateral triangle are of the same perimeter. If the diagonal of the square is $$ {12\sqrt{2}}$$ cm long, then the area of the triangle is.

1335 0

  • 1
    $$ {32\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {64\sqrt{3}}$$
    Correct
    Wrong
  • 3
    $$ {64\sqrt{2}}$$
    Correct
    Wrong
  • 4
    $$ {48\sqrt{3}}$$
    Correct
    Wrong
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Answer : 2. "$$ {64\sqrt{3}}$$"

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:

1333 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:

The ratio between the volume (cm3) of a cylinder and the curved surface area (cm2) is numerically 14: 1. If the height of the cylinder is 50 cm, what is the volume of the cylinder (cm3) ?

1327 0

  • 1
    61600
    Correct
    Wrong
  • 2
    92400
    Correct
    Wrong
  • 3
    123200
    Correct
    Wrong
  • 4
    184800
    Correct
    Wrong
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Answer : 3. "123200"

Q:

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

1320 0

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

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