Question

The volume of a cube is 1331 cubic cm. Find the length of its edge. ​

Answer 1

Step-by-step explanation:

$\blue{ \bf{ \underline{Question : }}}$

The volume of a cube is 1331 cubic cm. Find the length of its edge.

$\boxed{ \huge{ \bold{Given}}}$

• The volume of a Cube = 1331 cm³

$\boxed{ \huge{ \bold{to \: find}}}$

• Length of edges of the cube

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

Let,

• Length = x

Note: We length Consider as Side .

${ \large \boxed{ \boxed{ \red{ \sf{Volume \: of \: cube = {(side)}^{3} }}}}}$

$\: \: \:$

$\: \: \: \: \: \: \: {\implies{ \sf{1331 = {x}^{3}}}}$

$\: \: \: \: \: \: \: {\implies{ \sf{ \sqrt[3]{1331} = {x}^{}}}}$

$\: \: \: \: \: \: \: {\implies{ \sf{ \sqrt[3]{11 \times 11 \times 11} = {x}^{}}}}$

$\: \: \: \: \: \: \: {\implies{ \sf{\boxed{ \red{ \frak{11cm = {x}^{}}}}}}}$

Thus, 11 cm is edge of the cube

=================================================