**Volume** is the quantity of 3-D space enclosed by a closed surface, for example, the space that a substance or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, **the cubic meter.**

**1 litre = 10 (cm)³ = 1000 cubic centimetres = 0.001 cubic metres.**

**1 million litres = 1000 cubic metres = 1 megalitre.**

Volume is measured in **“cubic”** units. The volume of a figure is the number of cubes required to fill it completely.

The volume of a cube = side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed.

If a square has one side of 5 inches, the volume would be 5 inches times 5 inches times 5 inches, or 125 cubic inches. Cubic inches can also be written as in³.

Be sure to use the same units for all measurements. You cannot multiply feet times inches times yards, it doesn’t make a perfectly cubed measurement.

There are some formulas which you need to keep in mind while calculating the volume.

**cube = a³**

**rectangular prism = a.b.c**

**irregular prism = b.h**

**cylinder = b h = π.r².h**

**pyramid = (1/3) b.h**

**cone = (1/3) b.h = 1/3 π.r².h**

**sphere = (4/3) π.r **

**ellipsoid = (4/3) π r1 r2 r3**

**For example,** the volume of a shoe box a parallelepiped that is 3 inches by 2 inches by 12 inches is 3 x 2 x 12 = 72 cubic inches. This means that it would take 72 cubic inches to fill the shoe box.

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