Volume and Surface Area Practice Question and Answer

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?

1105 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:

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.

1100 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:

The covered surface area of  a cone of radius 8 cm and height 6 cm is double the covered surface area of a cylinder of radius 4 cm. Find the height of the cylinder?

1096 0

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

Q:

Base of a right pyramid is a square. The length of diagonal of the base is $$ {12\sqrt{2}}$$ cm. If each lateral surface of the pyramid is an equilateral triangle, then its volume (in cu.cm) is

1096 0

  • 1
    $$ {288\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {208\sqrt{2}}$$
    Correct
    Wrong
  • 3
    $$ {288\sqrt{2}}$$
    Correct
    Wrong
  • 4
    288
    Correct
    Wrong
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Answer : 1. "$$ {288\sqrt{3}}$$"

Q:

The bisector of ∠B in ΔABC meets AC at D. If AB=10 cm and BC=11 cm and AC=14 cm, then the length of AD is:

1093 0

  • 1
    $$ {20\over3}$$
    Correct
    Wrong
  • 2
    22
    Correct
    Wrong
  • 3
    $$ {22\over3}$$
    Correct
    Wrong
  • 4
    20
    Correct
    Wrong
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Answer : 1. "$$ {20\over3}$$"

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Answer : 4. "6 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:

1089 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:

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

1085 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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