Question

The volume of a cube is 15 dm³ find length of an edge of the cube

Answer 1

$\mathbb{ SOLUTION }$

Given :
Volume of cube is 15 dm³


To be found,
the edge of the cube

We know that,
Volume of cube = (a)³ [in which a is the edge of the cube ]

=> 15 = a³

$= > \sqrt[3]{15} = 2.46$

Hence, the edge of cube is 2.46 dm = 24.6 cm


As 1 dm = 10cm

Hope it helps.

Answer 2

$\underline{\bold{Given:-}}$

Volume of the cube
$= 15 {dm}^{3}$

$\underline{\bold{To\:find:-}}$

Length of edge of the cube

$\underline{\bold{Solution:-}}$

$Volume \: of \: a \: cube \: = \: 15 {dm}^{3} \\ \\ since \\ \\ \bold{Volume \: of \: a \: cube \: = \: {(edge)}^{3}} \\ \\ so \\ \\ {(edge)}^{3} = 15 {dm}^{3} \\ \\ edge = \sqrt[3]{15 {dm}^{3} } \\ \\ \boxed{\bold{edge = 2.46 \: dm}}$

So, edge of the cube is 2.46 dm or 24.6 cm