Question

3 cubes of metal whose edges are in the ratio3:4:5 are meltedand converted into single cube of diagnol 24root3 find the edges of all the cubes.

Answer 1

. 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

Answer 2

Answer:

sides of the cube are 8cm , 6cm , 10 cm