Aptitude - Volume Calculation


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Important Fact and Formulae

Following are important facts and formulaes used in questions for volume calculations.

Cuboid

Let Length=L, Breath =b and Height =h units. Then,

  • Volume = (L*b*h) cubic units.

  • Surface area=2(Lb+bh+Lh) sq. units.

  • Diagonal =√(L2+b2+h2) units.

Cube

Let each edge of a cube be of length a. Then,

  • Volume=a3 cubic units.

  • Surface area= 6a2 sq. units.

  • Diagonal= √3a units.

Cylinder

Let radius of base = r and Height (or length) =h. Then,

  • Volume = (πr2h) cubic units.

  • Curved surface area= (2πrh) sq. units.

  • Total surface area= (2πrh+2πr2) sq. units. = 2πr (h+r) sq. units.

Cone

Let radius of base=r and Height (or length) = h. Then,

  • Slant height=√h2+r2 units.

  • Volume = (1/3 πr2h) cubic units.

  • Curved surface area = (πrL) sq. units.

  • Total surface area = (πrL+ πr2) sq. units.

Sphere

Let the radius of the sphere be r. then,

  • Volume = (4/3 πr3) cubic units.

  • Surface area =( 4πr2) Sq. unit

Hemisphere

Let the radius of the hemisphere be r. then,

  • (i) Volume = (2/3πr3) cubic units

  • (ii) Curved surface area = (2πr2) Sq. unit

  • (ii) Total surface area = 3πr2 sq. unit.

Note:

1 litre = 1000cm3

Solved Examples

Solved Examples

aptitude_volume_calculation.htm
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