Volume and Surface Area Practice Question and Answer

Q:

The edges of a cuboid are in the ratio 1 : 2: 3 and its surface area is  88 sq.cm. The volume of the cuboid is:

1299 0

  • 1
    24
    Correct
    Wrong
  • 2
    48
    Correct
    Wrong
  • 3
    64
    Correct
    Wrong
  • 4
    120
    Correct
    Wrong
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Answer : 2. "48"

Q:

The ratio of the sides of a triangle is 3: 4: a and the area of this triangle is 216 square cm. And the perimeter of this triangle is 72 cm. Then the value of a will be -

1298 0

  • 1
    8 cm
    Correct
    Wrong
  • 2
    5 cm
    Correct
    Wrong
  • 3
    6 cm
    Correct
    Wrong
  • 4
    12 cm
    Correct
    Wrong
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Answer : 2. "5 cm"

Q:

The volume of a solid right circular cone is 600 π cm3, and the diameter of its base is 30 cm. The total surface area (in cm2) of the cone is:

1293 0

  • 1
    480 π
    Correct
    Wrong
  • 2
    255 π
    Correct
    Wrong
  • 3
    472 π
    Correct
    Wrong
  • 4
    496 π
    Correct
    Wrong
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Answer : 1. "480 π"

Q:

What will be the area (cm2) of the curved surface of an elliptical cylinder whose height and diameter are 10 cm and 8 cm respectively?

1290 0

  • 1
    20 π
    Correct
    Wrong
  • 2
    80 π
    Correct
    Wrong
  • 3
    160 π
    Correct
    Wrong
  • 4
    40 π
    Correct
    Wrong
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Answer : 2. "80 π"

Q:

A conical vessel whose internal base radius is 18 cm and height 60 cm is full of a liquid. The entire liquid of the vessel is emptied into a cylindrical vessel with internal radius 15 cm. The height (in cm) to which the liquid rises in the cylindrical vessel is:

1285 0

  • 1
    30.2 cm
    Correct
    Wrong
  • 2
    28.8 cm
    Correct
    Wrong
  • 3
    27 cm
    Correct
    Wrong
  • 4
    24 cm
    Correct
    Wrong
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Answer : 2. "28.8 cm"

Q:

The volume of a solid right circular cylinder is 5236 cm3, and its height is 34 cm. What is its curved surface area (in cm2)?

1284 0

  • 1
    1496
    Correct
    Wrong
  • 2
    1573
    Correct
    Wrong
  • 3
    1650
    Correct
    Wrong
  • 4
    1804
    Correct
    Wrong
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Answer : 1. "1496"

Q:

The diagonal of a square is 14 cm. What will be the length of the diagonal of the square whose area is double of the area of first square?

1280 0

  • 1
    $$ {28\sqrt{2}{\ cm}}$$
    Correct
    Wrong
  • 2
    $$ {14\sqrt{2}{\ cm}}$$
    Correct
    Wrong
  • 3
    28
    Correct
    Wrong
  • 4
    $$ {21\sqrt{2}{\ cm}}$$
    Correct
    Wrong
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Answer : 2. "$$ {14\sqrt{2}{\ cm}}$$"

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?

1274 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. "$$ {(10+4\sqrt{2})}{\ cm}; {18.25 \ cm^{2}}$$"

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