Question

Three cubes whose edges are in ratio 3:4:5 are melted to form a single cube of diagonal 12 root 3 find the edge of a new cube

Answer 1

☆ranshsangwan☆


New side of cube after melting = cube root of ((3x)3 + (4x) 3 + (5x)3 ))= 6x

Also given , diagonal of cube = 12 * root 3 

=> a * root 3 = 12 * root 3

=> a = 12 cm

6x = 12

x = 2

=> Side of cubes were 3*2 , 4*2,5*2 = 6 cm, 8 cm , 10 cm

Cheers