Question

Three cubes with sides in the ratio 3 : 4:5 are melted to from a
single cube whose diagonal is 12V3 cm. The sides of the cubes
are ?​

Answer 1

Answer:

side of big cube:

a =d/v3=12v 3v3=12cm

Side of big cube = 12cm. (I)... Ans

sides & smaller Cubes:

3x, 4x,5x

volumes =27x3+64x3 +125x3

Total volumes of smaller Cubes:

27x3 +64 X3+125x3=216x3

2l6x3=Volume of big Cube

2l6x3=12^3=1728

x^3=1728 / 216=8

x^3=8

x = 2

sides of the smaller Cube:

3x = 6,4x=8,5x=l0

sides 6,8 and 10. (2) Ans