Volume and Surface Area Practice Question and Answer

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

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  • 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:

The length of a rectangle is 6 cm more than its width and its perimeter is 100 cm. If the area of this rectangle is closest to the area of a circle, then what is the circumference of that circle?

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  • 1
    110 cm
    Correct
    Wrong
  • 2
    132 cm
    Correct
    Wrong
  • 3
    66 cm
    Correct
    Wrong
  • 4
    88 cm
    Correct
    Wrong
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Answer : 4. "88 cm"

Q:

The height of a square base right prism is 15 cm. If the total surface area of the prism is 608 cm2 , then what will be the volume of prism?

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  • 1
    950 cm3
    Correct
    Wrong
  • 2
    970 cm3
    Correct
    Wrong
  • 3
    960 cm3
    Correct
    Wrong
  • 4
    940 cm3
    Correct
    Wrong
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Answer : 3. "960 cm3"

Q:

A shuttlecock used of playing badminton has the shape of a frustum of a cone mounted on a semi sphere. The external diameters of the frustum are 5 cm and 2 cm, the height of the entire shuttlecock is 7 cm. The external surface is of the shuttlecock is:

1260 0

  • 1
    67.98 sq.cm
    Correct
    Wrong
  • 2
    74.26 sq.cm
    Correct
    Wrong
  • 3
    70 sq.cm
    Correct
    Wrong
  • 4
    72 sq.cm
    Correct
    Wrong
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Answer : 2. "74.26 sq.cm"

Q:

In the figure given below, AD bisects ∠BAC. If the area of ΔABD=40 cm2 and AC=3AB, then the area of ΔABC:

1254 0

  • 1
    $$ {150 \ cm^{2}}$$
    Correct
    Wrong
  • 2
    $$ {100 \ cm^{2}}$$
    Correct
    Wrong
  • 3
    $$ {120 \ cm^{2}}$$
    Correct
    Wrong
  • 4
    $$ {160 \ cm^{2}}$$
    Correct
    Wrong
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Answer : 3. "$$ {120 \ cm^{2}}$$"

Q:

The perimeter of a rectangle and equilateral triangle is equal. One side of the rectangle is also equal to the side of the triangle. Find the ratio of the areas of the rectangle and triangle?

1250 0

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

Q:

If the perimeter of a triangle is 30 cm and the area is 30 square cm, if the length of the larger side is 13 cm, then what is the length of the shorter side?

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

Q:

A polygon has 14 sides then find out No. of diagonals in that polygon. 

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  • 1
    75
    Correct
    Wrong
  • 2
    76
    Correct
    Wrong
  • 3
    77
    Correct
    Wrong
  • 4
    80
    Correct
    Wrong
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Answer : 3. "77 "

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