Volume and Surface Area Practice Question and Answer

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?

1445 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:

The area of square field is $$ ({69696})^{2}$$. Its diagonal will be equal to (use √2 = 1.414) 

1444 0

  • 1
    313.296 m
    Correct
    Wrong
  • 2
    353.296 m
    Correct
    Wrong
  • 3
    373.296 m
    Correct
    Wrong
  • 4
    393.296 m
    Correct
    Wrong
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Answer : 3. "373.296 m "

Q:

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

1436 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:

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

1430 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 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 

1430 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 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?

1424 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:

The ratio between the length and breadth of a rectangular park is 3: 2. If a man cycling along the boundary of the park at the speed of 12 Km./hr. completes one round in 8 min, then the area of the park in sq.m is – 

1421 0

  • 1
    15360
    Correct
    Wrong
  • 2
    30720
    Correct
    Wrong
  • 3
    153600
    Correct
    Wrong
  • 4
    307200
    Correct
    Wrong
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Answer : 3. "153600"

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:

1416 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"

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