Cuboid face diagonals

The lengths of the cuboid edges are in the ratio 1:2:3. Will the lengths of its diagonals be in the same ratio?

The cuboid has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this cuboid.



Step-by-step explanation:

a=5 b=10 c=15  a:b:c = 1:2:3  u1=a2+b2=52+102=5 511.1803 u2=a2+c2=52+152=5 1015.8114 u3=b2+c2=102+152=5 1318.0278  k1=u1:u2=11.1803:15.81140.7071=80782:114243 k2=u3:u2=18.0278:15.81141.1402=103862:91093 k3=u3:u1=18.0278:11.18031.6125=120226:74561  k1,k2,k3 = 1,2,3  y=0

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Check out our ratio calculator.
See also our right triangle calculator.
See also our trigonometric triangle calculator.

We encourage you to watch this tutorial video on this math problem: video1   video2   video3

Related math problems and questions: