Answer:
(C)41 mm
Step-by-step explanation:
The distance between vertex K and vertex R in the diagram is the length of the longest diagonal of the rectangular prism.
For a rectangular prism of dimensions l by w by h
Length of the longest diagonal[tex]=\sqrt{l^2+w^2+h^2}[/tex]
In this case, the dimensions are:9 mm ,32 mm and 24 mm
Therefore:
Length of the line segment between vertex K and vertex R
[tex]=\sqrt{32^2+24^2+9^2}\\=\sqrt{1681}\\=41mm[/tex]
The correct option is C.
