Mensuration 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.)?

415 0

  • 1
    2a
    Correct
    Wrong
  • 2
    $${a\over\sqrt { 2}\ }$$
    Correct
    Wrong
  • 3
    $${a^2\over 2} $$
    Correct
    Wrong
  • 4
    $${a^2\over 4} $$
    Correct
    Wrong
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Answer : 3. "$${a^2\over 2} $$"

Q:

Diagonal of a given square is 4√2 cm. What is the diagonal of the other square whose area is double of the given square?

414 0

  • 1
    8√2 cm
    Correct
    Wrong
  • 2
    16 cm
    Correct
    Wrong
  • 3
    7√3 cm
    Correct
    Wrong
  • 4
    8 cm
    Correct
    Wrong
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Answer : 4. "8 cm"

Q:

Area of the floor of a cubical room is 64 m2. The length of the longest rod that can be kept in the room is:

414 0

  • 1
    $$16 \sqrt { 2} $$
    Correct
    Wrong
  • 2
    $$4 \sqrt { 3} $$
    Correct
    Wrong
  • 3
    $$12 \sqrt { 3} $$
    Correct
    Wrong
  • 4
    $$8 \sqrt { 3} $$
    Correct
    Wrong
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Answer : 4. " $$8 \sqrt { 3} $$"

Q:

If the numerical value of thes perimeter of an equilateral triangle is  $$ \sqrt {3}$$ times the area of it, then the length of each side of the triangle is

414 0

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

Q:

If a store room of a house is in the shape of a cuboid having a length of 3 m, a width of 2 m, and a height of 4m, find the total area of its four walls.

412 0

  • 1
    $${{50cm^2}}$$
    Correct
    Wrong
  • 2
    $${{20cm^2}}$$
    Correct
    Wrong
  • 3
    $${{40cm^2}}$$
    Correct
    Wrong
  • 4
    $${{24cm^2}}$$
    Correct
    Wrong
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Answer : 3. "$${{40cm^2}}$$"

Q:

A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is

412 0

  • 1
    5
    Correct
    Wrong
  • 2
    10
    Correct
    Wrong
  • 3
    20
    Correct
    Wrong
  • 4
    22
    Correct
    Wrong
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Answer : 3. "20 "

Q:

In a triangle, two sides of 4 cm and 3 cm are at right angle. If the triangle is revolved along the 4 cm side, the curved surface area of the cone so formed will be

410 0

  • 1
    62.8 cm2
    Correct
    Wrong
  • 2
    52.6 cm2
    Correct
    Wrong
  • 3
    64. 8 cm2
    Correct
    Wrong
  • 4
    67.6 cm2
    Correct
    Wrong
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Answer : 1. "62.8 cm2 "

Q:

△ABC ∼ △DEF. If the areas of △ABC and △DEF are 100 cm2 and 81 cm2, respectively and the altitude of △DEF is 6.3 cm, then the corresponding altitude of △ABC is:

408 0

  • 1
    9 cm
    Correct
    Wrong
  • 2
    5.6 cm
    Correct
    Wrong
  • 3
    7 cm
    Correct
    Wrong
  • 4
    8.4 cm
    Correct
    Wrong
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Answer : 3. "7 cm "

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