Question

if the edge of the 3 cbes is 3:4:5 the diagonal is 12√3​

Answer 1

Answer:

6cm,8cm,10cm

Step-by-step explanation:

Volume of three cubes =(3x)^3+(4x)^3+(5x)^3

=216x^3cm^3

Let be the edge of new cube so formed .

Now,Volume of new cube=Volume of 3 cube

a^3=216x^3

a=6x

Diagonal of new cube=12√3cm

√a^2+a^2=12√3

a=12

6x=12

x=2

3x=6cm

4x=8cm

5x=10cm