9000120309

SubArea: 
Metric properties
Level: 
A
Project ID: 
9000120309
Source Problem: 
2010015807
Accepted: 
1
Clonable: 
1
Easy: 
0
The sides of a rectangular box shown in the picture are \(a = 3\, \mathrm{cm}\), \(b = 4\, \mathrm{cm}\), and \(c = 12\, \mathrm{cm}\). The space diagonal is \(u_{t}\) and the longest face diagonal is \(u_{s}\). Find the ratio \(u_{t} : u_{s}\).
\(13\sqrt{10} : 40\)
\(13 : \sqrt{153}\)
\(13 : 12\)
\(4\sqrt{10} : 5\)
\(4\sqrt{10} : 13\)