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

766 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:

The area of triangle is half the area of square. The perimeter of the square is 224 cm. What is the area of triangle?

1315 0

  • 1
    1856 cm2
    Correct
    Wrong
  • 2
    1658 cm2
    Correct
    Wrong
  • 3
    1558 cm2
    Correct
    Wrong
  • 4
    1586 cm2
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 5. "None of these"
Explanation :

given 4a=224,

a=56, so that Area of square is=a2=56*56
so that Area of Triangle is a2/2=1568

Q:

What is the volume of a cube whose side is 7.5 cm?

1121 0

  • 1
    421.875 cm3
    Correct
    Wrong
  • 2
    759.375 cm3
    Correct
    Wrong
  • 3
    631.81 cm3
    Correct
    Wrong
  • 4
    210.94 cm3
    Correct
    Wrong
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Answer : 1. "421.875 cm3"

Q:

Diameter of a cycle wheel is 14 cm. A cyclist takes 30 minutes to reach a destination at a speed at 11 km/h. How many revolutions will the wheel make during the journey?

2316 1

  • 1
    12500
    Correct
    Wrong
  • 2
    15000
    Correct
    Wrong
  • 3
    17750
    Correct
    Wrong
  • 4
    20000
    Correct
    Wrong
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Answer : 1. "12500"

Q:

What is the total CSA of cone whose radius is 3 cm and height is 4 cm? 

811 0

  • 1
    $$ { 24 π cm^2}$$
    Correct
    Wrong
  • 2
    $$ { 25 π cm^2}$$
    Correct
    Wrong
  • 3
    $$ { 28 π cm^2}$$
    Correct
    Wrong
  • 4
    $$ { 20 π cm^2}$$
    Correct
    Wrong
  • 5
    None of these
    Correct
    Wrong
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Answer : 1. "$$ { 24 π cm^2}$$"

Q:

One side of the rectangular ground is 8m and its diagonal is 17m. Find the area of the ground?

883 0

  • 1
    150 m²
    Correct
    Wrong
  • 2
    140 m²
    Correct
    Wrong
  • 3
    130 m²
    Correct
    Wrong
  • 4
    120 m²
    Correct
    Wrong
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Answer : 4. "120 m²"

Q:

A cuboidal block of 6 cm × 9 cm ×12 cm is cut into exact number of equal cubes. The least possible number of cubes will be:

996 0

  • 1
    6
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    24
    Correct
    Wrong
  • 4
    30
    Correct
    Wrong
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Answer : 3. "24"

Q:

A right pyramid stands on a rectangular base whose sides are 24 cm and 18 cm and on the shorter side, the slant height is 17 cm. Find the volume of the pyramid.

988 0

  • 1
    1735.5 cm3
    Correct
    Wrong
  • 2
    1152 cm3
    Correct
    Wrong
  • 3
    1733.5 cm3
    Correct
    Wrong
  • 4
    1752 cm3
    Correct
    Wrong
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Answer : 2. "1152 cm3"

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