Question

Three cubes of volume 1, 216, 512 are melted to form a new cube find its body diagonal

Answer 1

add all and then find out the qube root so answer is 9

Answer 2

It is simple

the volume of new cube is 1 + 216 + 512

let side of new cube is a

volume of cube is a*a*a that is a^3

a = ∛729

a= 9

Now body diagonal is a*√3

hence answer is 9*√3

which is 15.58