Question

Three cubes of a metal whose edges are in the ratio 3:4:5 are melted and converted into a single cube whose diagonal is 12 root 3. find the edges of the three cubes

Answer 1

let the edges be 3x 4x 5x

volume = (3x) Sq +(4X)Sq + ( 5x) Sq = 216 x cube cm3

let it be the edge of the new cube

a cube = 216 Cube

a=6

diagonal of new cube

3x = 6 cm

4x = 8cm

5x = 10