Question

three solid cubes of side 3 cm 4 cm and 5 cm are melted and transformed into a single cube find the side of new cube​

Answer 1

Answer:

the side of the new cube is 6cm for the given problem

Answer 2

${ \bold{ \huge{ \underline{ \underline{ \blue{Question:-}}}}}}$



▪ Three solid cubes of side 3 cm , 4 cm and 5 cm are melted and transformed into a single cube. Find the side of the new cube.




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



${ \pink{ \bold{ \underline{given-}}}}$


▪ side of cube1 = 3 cm

▪ side of cube2 = 4 cm

▪ side of cube3 = 5 cm



${ \bold{ \pink{ \underline{according \: to \: the \: question}}}}$

these three solid cubes are melted and transformed in to a single cube....


thus,


☆ the volume of these three cubes would be equal to the volume of new transformed cube




${ \boxed{ \bold{ \red{ \: volume \: of \: cube = {side}^{3} \: }}}}$



${ \blue{ \bold{volume \: of \: cube1 = {(3 \: cm)}^{3} = 27 {cm}^{3} }}}$





${ \blue{ \bold{volume \: of \: cube2 = {(4 \: cm)}^{3} = 64 {cm}^{3} }}}$





${ \blue{ \bold{ volume \: of \: cube3 = {(5 \: cm)}^{3} = 125 {cm}^{3} }}}$



☆ volume of new transformed cube =

volume of cube1 + volume of cube2 + volume of cube3



${ \pink{ \bold{ = 27 {cm}^{3} + 64 {cm}^{3} + 125 {cm}^{3} }}}$



${ \red{ \bold{volume \: of \: new \: cube = 216 {cm}^{3} }}}$



${ \boxed{ \bold{ \red{side \: of \: new \: cube = \sqrt[3]{volume} }}}}$


${ \bold{ = \sqrt[3]{216 {cm}^{3} }}}$



${ \blue{ \bold{side \: of \: the \: new \: cube = 6 \: cm}}}$