Volume and Surface Area Questions Practice Question and Answer

Q:

The ratio of the areas of two isosceles triangles having the same vertical angle is 1 : 9.The ratio of their heights is -

1731 0

  • 1
    1 : 3
    Correct
    Wrong
  • 2
    1 : 9
    Correct
    Wrong
  • 3
    3 : 1
    Correct
    Wrong
  • 4
    1 : 81
    Correct
    Wrong
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Answer : 1. "1 : 3"

Q:

The volume of a cube is $$ 512{cm}^{3}$$. Its surface area (in sq cm) is 

1719 0

  • 1
    284
    Correct
    Wrong
  • 2
    384
    Correct
    Wrong
  • 3
    484
    Correct
    Wrong
  • 4
    576
    Correct
    Wrong
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Answer : 2. "384 "

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 :

1716 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 height of a cone is 16 cm and radius of its base is 30 cm. If the rate of painting it is Rs.14/cm2, then what will be the total cost in painting the curved surface of cone from outside?

1712 0

  • 1
    Rs. 42220
    Correct
    Wrong
  • 2
    Rs. 44880
    Correct
    Wrong
  • 3
    Rs. 36820
    Correct
    Wrong
  • 4
    Rs.46540
    Correct
    Wrong
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Answer : 2. "Rs. 44880"

Q:

The wooden box measure 20 cm by 12 cm by 10 cm. Thickness of wood is 1 cm. The volume of wood to make the box (in cubic cm) is 

1712 0

  • 1
    960
    Correct
    Wrong
  • 2
    519
    Correct
    Wrong
  • 3
    2400
    Correct
    Wrong
  • 4
    1.120
    Correct
    Wrong
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Answer : 1. "960 "

Q:

The length of the diagonal of a square is 'a' cm. Which of the following represents the area of the square (in sq. cm)? 

1711 0

  • 1
    2a
    Correct
    Wrong
  • 2
    a\√2
    Correct
    Wrong
  • 3
    $$a^2\2$$
    Correct
    Wrong
  • 4
    $$a2\4$$
    Correct
    Wrong
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Answer : 3. "$$a^2\2$$"

Q:

A corner of a cube of side length 8 m. When cut by a plane which bisects the sides of the cube, we get a pyramid whose volume is : 

1710 1

  • 1
    8.37 m3
    Correct
    Wrong
  • 2
    10.67 m3
    Correct
    Wrong
  • 3
    11.20 m3
    Correct
    Wrong
  • 4
    9.68 m3
    Correct
    Wrong
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Answer : 2. "10.67 m3 "

Q:

What is total surface area of a cone where, r’ is radius and ‘l’ is slant height?   

1706 0

  • 1
    πr (l + r)
    Correct
    Wrong
  • 2
    2πr (l+r)
    Correct
    Wrong
  • 3
    πrl
    Correct
    Wrong
  • 4
    $$ 2πrl^2$$
    Correct
    Wrong
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Answer : 1. "πr (l + r) "

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