Question

the volume of a cube is 778688 millimetre cube find the measure of its edge​

Answer 1

$\underline{\underline{\mathbb{SOLUTION}}}$

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

The volume of a cube is 778688 mm cube.

 

$\underline{\underline{\bf To \:\:be \:\:found :}}$

The edge of the cube

 

As we know that,

$\boxed{\boxed{\bf volume \:\:of\:\: cube=a^3}}$

In which a is the side of the cube

So,

$\rightarrow \bf 778688 = a^3\\\\\rightarrow \bf \sqrt[3]{\bf778688}=a \\\\\rightarrow \bf \sqrt[3]{\bf92\times92\times92} =a\\\\\rightarrow \bf 92 = a$

Hence,

the length of the edge of the cube is 92 mm.