Question

A metallic cubiod measuring 9cm× 6 cm × 4 cm is melted and form into cube. find the side of the cube?

Answer 1

the volume of cuboid will be 9x6x4 which is 216cm^3

since the volume after turning it into a cube will be same

volume of cube = SxSxS=216

S^3=6^3

therefore the side of the cube will be 6 cm

Answer 2

Given:

⊱ a metallic cubiod measuring 9cm× 6 cm × 4 cm is melted and form into cube.

To Find:

⊱ find the side of the cube?

Solution:

$\rm\underline{ \bigstar \: Given \: dimentions \: of \: cuboid , }$

• length : 9cm

• breadth : 6cm

• hieght : 4cm

$\sf{ \fbox { \blue{volume \: of \: cubiod = volume \: of \: cube}}}$

So,

$\tt {\red{volume \: of \: cuboid}} =( 9 \times 6 \times 4) {cm}^{3} \\ \\ \tt {\red{volume \: of \: cuboid}} = 216 {cm}^{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

we know,

$\sf{ \purple{v_{1} = v_{2} }}$

$\rm\therefore {\underline{volume \: of \: cube = 216}}$

let's start

${ : \implies} \sf \: side \: of \: the \: cube = \sqrt[3]{216} \\ \\ { : \implies} \sf \: side \: of \: the \: cube = 6cm \:$

$\rm{ \pink{ \underline{hence, side \: of \: the \: cube \: is \: 6cm \: \bigstar }}}$