Question

a solid piece of metal in the form of cuboid of dimensions 24x18cm×4cm is melted down and recasted into a cube. find the length of each edge of the cube.

Answer 1

Volume of Cuboid and that solid metal = l * b * h


$= 24 \times 18 \times 4 \\ \\ \\ = 1728 {cm}^{3}$

AFTER MELTING THE CUBOID IT'S volume doesn't gets changed


thus


Volume of cuboid = volume of new cube

but

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

thus


$1728 = {side}^{3 } \\ \\ \sqrt[3]{1728} = side \\ \\ \\ 12 = side \\ \\ side = 12cm$
ANS:. Therefore, the length of each edge of the newly formed cube is 12 cm ( cube has all its side i.e. edges equal)