Question

What will be the volume of the cubiod obtained when two solid cubes of side 10cm are kept side by side?

Answer 1

$\bf \large{ \underline{ \underline{ \green{Given : }}}}$

$\sf \small{two \: cubes \: of \: side \: 10cm}$

$\bf \large{ \underline{ \underline{ \orange{Required \: answer : }}}}$

$\sf \small{volume \: of \: cube \: formed \: by \: joining} \\ \sf \small{ \: two \: cubes \: of \: side \: 10cm.}$

$\bf \large{ \underline{ \underline{ \green{Solution : }}}}$

$\sf \small{Volume \: of \: one \: cube = {side}^{3} = {10}^{3} = 1000 {cm}^{3} }$

$\sf \small\therefore{volume \: of \: two \: cubes = 1000 + 1000 = 2000 {cm}^{3} }$

$\sf \small{Hence, \: volume \: of \: new \: cuboid \: obtained = 2000 {cm}^{3} }$

$\sf \small{side \: of \: new \: cube = \sqrt[3]{2000} = 10 \sqrt{2}cm }$

$\bf \large{ \underline{ \underline{ \blue{Formula \: used : }}}}$

$\sf \small{Volume \: of \: cube = {(side)}^{3} }$

$\sf \small{side \: of \: cube = \sqrt[3]{side} }$