Cuboid face diagonals

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

Result

y=




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



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Tips for related online calculators
Check out our ratio calculator.
The Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

 
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