Identifying the Diagonal in a Rectangular Prism: Line Segment Analysis

Question

Identify which of the following line segments is the diagonal of the rectangular prism?

AAABBBCCCDDDEEEFFFGGGHHH

Video Solution

Solution Steps

00:00 Which of these segments is the cube's diagonal?
00:03 The cube's diagonal connects 2 vertices that are not on the same face
00:07 There are 4 such diagonals in each cube and they are all equal to each other
00:15 And this is the solution to the question

Step-by-Step Solution

A box diagonal is a diagonal that passes between two vertices that are not connected,
meaning, the diagonal passes through the box, and not on one of its edges.

Let's see which of the segments in the answers passes entirely through the box from end to end.

AC, HF and FC are all diagonals that lie on the edges of the box, therefore the segment that fits this description is BH.

Answer

BH BH