Question

6.

A rectangular prism is shown in the diagram
below.
9 mm
32 mm
R
24 mm
What is the length of the line segment that
between vertex K and vertex R?
A. V65 mm
B. 40 mm
Gu 41 mm
D. 76912 mm
i need help!!

Answer 1

(C)41 mm

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
`=√(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

`=√(32^2+24^2+9^2)\\=√(1681)\\=41mm`

The correct option is C.