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Mathematics

Mensuration 3D MCQs

Practice Mensuration 3D MCQs for competitive exams.

Mensuration 3D MCQs

Practice questions from this topic.

A cuboid of size 50 cm × 40 cm × 30 cm is cut into 8 identical parts by 3 cuts. What is the total surface area (in cm 2 ) of all the 8 parts?

  1. A. 11750
  2. B. 14100
  3. C. 18800
  4. D. 23500
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The length of the side of a cube is 2.8 cm. What is the volume of the largest sphere that can be taken out of the cube?

  1. A. 11.50 cm 3
  2. B. 1.15 cm 3
  3. C. 11.55 cm 3
  4. D. 115 cm 3
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If the radii of the circular ends of a frustum which is 45 cm high be 28 cm and 7 cm then the capacity of the bucket in cubic centimetre is. $$left( {{text{Use }}pi = frac{{22}}{7}} right)$$

  1. A. 48510
  2. B. 45810
  3. C. 48150
  4. D. 48051
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The sum of length, breadth and height of a cuboid is 20 cm. If the length of the diagonal is 12 cm, then find the total surface area of cuboid.

  1. A. 364 cm 2
  2. B. 256 cm 2
  3. C. 356 cm 2
  4. D. 264 cm 2
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The volume of a hemisphere is $$2425frac{1}{2}$$ cm 3 , Find the radius. $$left( {{text{Take }}pi = frac{{22}}{7}} right)$$

  1. A. 12 cm
  2. B. 10 cm
  3. C. 10.5 cm
  4. D. 9.5 cm
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If the radius of the base of a cone is doubled, and the volume of the new cone is three times the volume of the original cone, then what will be the ratio of the height of the original cone to that of the new cone?

  1. A. 9 : 4
  2. B. 4 : 3
  3. C. 2 : 9
  4. D. 1 : 3
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A spherical ball of radius 1 cm is dropped into a conical vessel of radius 3 cm and slant height 6 cm. The volume of water (in cm 3 ), that can just immerse the ball, is

  1. A. $$frac{{5pi }}{3}$$
  2. B. $$3pi $$
  3. C. $$frac{pi }{3}$$
  4. D. $$frac{{4pi }}{3}$$
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A right triangular pyramid XYZB is cut from cube as shown in figure. The side of cube is 16 cm. X, Y and Z are mid points of the edges of the cube. What is the total surface area (in cm 2 ) of the pyramid?

  1. A. $$48left[ {left( {sqrt 3 } right) + 1} right]$$
  2. B. $$24left[ {4 + left( {sqrt 3 } right)} right]$$
  3. C. $$28left[ {6 + left( {sqrt 3 } right)} right]$$
  4. D. $$32left[ {3 + left( {sqrt 3 } right)} right]$$
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The volume of a cylinder is 4312 cm 3 . Its curved surface area is one-third of its total surface area. Its curved surface area (in cm 2 ) is: $$left( {{text{Take }}pi = frac{{22}}{7}} right)$$

  1. A. 528
  2. B. 572
  3. C. 616
  4. D. 660
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From a solid cylindrical wooden block of height 18 cm and radius 7.5 cm, a conical cavity of the same height and same radius is taken out. What is total surface area (in cm 2 ) of the remaining solid?

  1. A. 270π
  2. B. 416.25π
  3. C. 326.25π
  4. D. 472.5π
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N solid metallic spherical balls are melted and recast into a cylindrical rod whose radius is 3 times that of a spherical ball and height is 4 times the radius of a spherical ball. The value of N is:

  1. A. 30
  2. B. 27
  3. C. 24
  4. D. 36
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A right pyramid stands on a square base of diagonal 10√2 cm. If the height of the pyramid is 12 cm, the area (in cm 2 ) of its slant surface is

  1. A. 520
  2. B. 420
  3. C. 360
  4. D. 260
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