Volume and Surface Area Questions Practice Question and Answer

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)? 

668 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 hollow iron pipe is 21 cm long and its exterior diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weights $$ 8 g/cm^3 $$, then the weight of the pipe ($$ π= {22\over7}$$) is. 

668 0

  • 1
    3.696 kg
    Correct
    Wrong
  • 2
    3.6 kg
    Correct
    Wrong
  • 3
    36 kg
    Correct
    Wrong
  • 4
    36.9 kg
    Correct
    Wrong
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Answer : 1. "3.696 kg "

Q:

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

668 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 square and an equilateral triangle are of the same perimeter. If the diagonal of the square is $$ {12\sqrt{2}}$$ cm long, then the area of the triangle is.

663 0

  • 1
    $$ {32\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {64\sqrt{3}}$$
    Correct
    Wrong
  • 3
    $$ {64\sqrt{2}}$$
    Correct
    Wrong
  • 4
    $$ {48\sqrt{3}}$$
    Correct
    Wrong
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Answer : 2. "$$ {64\sqrt{3}}$$"

Q:

The total surface area of a cube is 864 square cm. What will be its volume?

659 0

  • 1
    216
    Correct
    Wrong
  • 2
    1728
    Correct
    Wrong
  • 3
    729
    Correct
    Wrong
  • 4
    512
    Correct
    Wrong
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Answer : 2. "1728"

Q:

The ratio of the volume of right circular cylinder and a right circular cone of the same base and height will be:

647 0

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

Q:

The base of right prism is a trapezium whose parallel sides are 11 cm and 15 cm and the distance between them is 9 cm. If the volume of the prism is 1731.6 cm3, then the height (in cm) of the prism will be:

643 0

  • 1
    15.2
    Correct
    Wrong
  • 2
    14.8
    Correct
    Wrong
  • 3
    15.6
    Correct
    Wrong
  • 4
    14.2
    Correct
    Wrong
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Answer : 2. "14.8"

Q:

The heights of a cone, cylinder and hemisphere are equal. If their radii are in the ratio 2:3:1, then the ratio of their volumes is:

643 0

  • 1
    2:9:2
    Correct
    Wrong
  • 2
    4:9:1
    Correct
    Wrong
  • 3
    4: 27:2
    Correct
    Wrong
  • 4
    2 : 3: 1
    Correct
    Wrong
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Answer : 3. "4: 27:2"

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