Volume and Surface Area Questions Practice Question and Answer

Q:

The base of a right prism is a tringle with sides 20 cm, 21 cm and 29 cm. If its volume is 7560 cm3, then its lateral surface area ( in cm2) is:

800 0

  • 1
    2556
    Correct
    Wrong
  • 2
    2448
    Correct
    Wrong
  • 3
    2520
    Correct
    Wrong
  • 4
    2484
    Correct
    Wrong
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Answer : 3. "2520"

Q:

Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes?

799 0

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

Q:

A right triangle with sides 5 cm, 12 cm and   13 cm is rotated about the side 12 cm to from a cone. The volume of the cone so formed is :

799 0

  • 1
    $$ {81 π \ cm^{3}}$$
    Correct
    Wrong
  • 2
    $$ {100 π \ cm^{3}}$$
    Correct
    Wrong
  • 3
    $$ {91 π \ cm^{3}}$$
    Correct
    Wrong
  • 4
    $$ {110 π \ cm^{3}}$$
    Correct
    Wrong
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Answer : 2. "$$ {100 π \ cm^{3}}$$"

Q:

The length, width and height of a cuboid are 18 cm, 24 cm, and 4 cm, respectively. The volume of the cube is equal to the volume of the given cuboid. The arm of the cube is:

798 0

  • 1
    16 cm
    Correct
    Wrong
  • 2
    12 cm
    Correct
    Wrong
  • 3
    9 cm
    Correct
    Wrong
  • 4
    8 cm
    Correct
    Wrong
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Answer : 2. "12 cm"

Q:

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

798 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:

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?

798 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:

A hollow copper pipe is 22 cm long and its external diameter is 28 cm. If the thickness of the pipe is 3 cm and iron weighs 8.5 g/cm3 , then the weight of the pipe is closest to:

796 0

  • 1
    34 kg
    Correct
    Wrong
  • 2
    44 kg
    Correct
    Wrong
  • 3
    14 kg
    Correct
    Wrong
  • 4
    24 kg
    Correct
    Wrong
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Answer : 2. "44 kg"

Q:

A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area?

793 0

  • 1
    289
    Correct
    Wrong
  • 2
    616
    Correct
    Wrong
  • 3
    962.56
    Correct
    Wrong
  • 4
    481.056
    Correct
    Wrong
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Answer : 4. "481.056"

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