Volume of soilds — lesson. Science State Board, Class 7.

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Volume is a space occupied by any three-dimensional object. It is also a derived quantity that can be measured by measuring lengths.

The formula is written as,

\begin{array}{l} Volume = Length \times Breadth \times Height \\ = Surface area \times Height \end{array}

SI Unit

Volume = l \times b \times h

If the unit of volume is written in $m$, then

$Volume$ $=$ $metre$ $×$ $metre$ $×$ $metre$

$=$ $cubic\ metre$ or $m^3$

Hence, the SI unit of volume is a $cubic$ $metre$ (or) $m^3$.

The volume of regularly shaped objects

The volume of regularly shaped figures can be calculated using the relevant formula. Some of them are tabulated below.

Shape	Three-dimensional figure	Volume
Cube		$\begin{array}{l} side \times side \times side \\ a \times a \times a = a^{3} \end{array}$
Cuboid		$\begin{array}{l} length \times breadth \times height \\ l \times b \times h \end{array}$
Sphere		$\begin{array}{l} \frac{4}{3} \times π \times {(radius)}^{3} \\ \frac{4}{3} π r^{3} \end{array}$
Cylinder		$\begin{array}{l} π \times {(radius)}^{2} \times height \\ π r^{2} h \end{array}$