Volume and Surface Area Questions Practice Question and Answer

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 -

719 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:

From a circle of radius a, a sector, which subtend an angle π/5 at the centre has been cut off. The perimeter of the remaining part of the circle is

754 0

  • 1
    2πa
    Correct
    Wrong
  • 2
    $$ {π\over 5}{a}$$
    Correct
    Wrong
  • 3
    $$ {7π\over 5}{a}$$
    Correct
    Wrong
  • 4
    $$ {9π\over 5}{a}$$
    Correct
    Wrong
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Answer : 4. "$$ {9π\over 5}{a}$$"

Q:

If an equilateral triangle is inscribed in a circle of area 48 π square units, then the perimeter of the triangle is:

1065 0

  • 1
    72 units
    Correct
    Wrong
  • 2
    36 units
    Correct
    Wrong
  • 3
    48 units
    Correct
    Wrong
  • 4
    $${48}{\sqrt{3}}$$ units
    Correct
    Wrong
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Answer : 2. "36 units"

Q:

The diameter of a wheel is 14 cm. How many rotations will it take to cover a distance of 44 kilometres?

1480 0

  • 1
    44,000
    Correct
    Wrong
  • 2
    88,000
    Correct
    Wrong
  • 3
    70,000
    Correct
    Wrong
  • 4
    100000
    Correct
    Wrong
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Answer : 4. "100000"

Q:

The difference of the circumference and radius of a circle is 37 cm. Area of the circle is

1075 0

  • 1
    150 sq.cm
    Correct
    Wrong
  • 2
    84 sq.cm
    Correct
    Wrong
  • 3
    77 sq.cm
    Correct
    Wrong
  • 4
    154 sq.cm
    Correct
    Wrong
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Answer : 4. "154 sq.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.

816 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 measure of a cuboid warehouse is (8 m x 6 m x 3 m). If each sack covers 0.48 cubic meters of space, how many maximum sacks can be kept in it?

727 0

  • 1
    221
    Correct
    Wrong
  • 2
    300
    Correct
    Wrong
  • 3
    320
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "300"

Q:

The ratio of the areas of two circles is 16: 25. What will be the ratio of their circumferences?

1036 0

  • 1
    4 : 5
    Correct
    Wrong
  • 2
    3 : 2
    Correct
    Wrong
  • 3
    4 : 9
    Correct
    Wrong
  • 4
    9 : 4
    Correct
    Wrong
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Answer : 1. "4 : 5 "

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