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

PUMPA - SMART LEARNING

எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

Book Free Demo

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		$\begin{array}{l} π \times {(radius)}^{2} \times height \\ π r^{2} h \end{array}$