Question

6.

Answer 1

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$=\sqrt{l^2+w^2+h^2}$

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

$=\sqrt{32^2+24^2+9^2}\\=\sqrt{1681}\\=41mm$

The correct option is C.