Volume and Surface Area Practice Question and Answer

Q:

Find the area of triangle whose medians are 8 cm, 15 cm and 17 cm respectively?

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  • 1
    $$20 cm^2$$
    Correct
    Wrong
  • 2
    $$15 cm^2$$
    Correct
    Wrong
  • 3
    $$24 cm^2$$
    Correct
    Wrong
  • 4
    $$28 cm^2$$
    Correct
    Wrong
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Answer : 1. "$$20 cm^2$$"

Q:

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

1243 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:

How much parts of the pits, which are 48 meters long, 16.5 meters wide and 4 meters deep, can be filled in the soil, which is obtained by cylindrical tunnel of 4 meters diameter and 56 meters long?

1241 0

  • 1
    $$ {1\over 9}$$
    Correct
    Wrong
  • 2
    $$ {2\over 9}$$
    Correct
    Wrong
  • 3
    $$ {7\over 9}$$
    Correct
    Wrong
  • 4
    $$ {8\over 9}$$
    Correct
    Wrong
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Answer : 2. "$$ {2\over 9}$$"

Q:

Find the area of a white sheet required to prepare a cone with a height of 21cm and the radius of 20cm.

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  • 1
    $$ {3080}cm^2$$
    Correct
    Wrong
  • 2
    $$ {2300}cm^2$$
    Correct
    Wrong
  • 3
    $$ {3460}cm^2$$
    Correct
    Wrong
  • 4
    $$ {3600}cm^2$$
    Correct
    Wrong
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Answer : 1. "$$ {3080}cm^2$$"

Q:

The length of a hollow thick cylindrical metallic pipe is 6 cm and its total surface area including the surface at the ends is 98π sq. cm. If the outer diameter is 8 cm, then the inner diameter in cm is 

1233 0

  • 1
    6.5
    Correct
    Wrong
  • 2
    7
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 4. "6"

Q:

The area covered by a square is 308 square cm. The length of the diagonal of the square is.

1230 0

  • 1
    16 cm
    Correct
    Wrong
  • 2
    28 cm
    Correct
    Wrong
  • 3
    24 cm
    Correct
    Wrong
  • 4
    22 cm
    Correct
    Wrong
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Answer : 2. "28 cm "

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:

1217 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:

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

1212 0

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

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