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:

1054 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:

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

1051 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:

1047 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:

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.

1044 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:

What is the area of an equilateral triangle having altitude equal to $$5\sqrt{3}$$cm.

1029 0

  • 1
    $$25\sqrt{3}$$
    Correct
    Wrong
  • 2
    $$45\sqrt{3}$$
    Correct
    Wrong
  • 3
    45
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 1. "$$25\sqrt{3}$$"

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.

1028 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 volume of a prism is 288cm3 and height is 24cm. The area of the base of the prism (cm2) is:

1027 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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