Identifying the Diagonal in a Rectangular Prism: Line Segment Analysis

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

AAABBBCCCDDDEEEFFFGGGHHH

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

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

AAABBBCCCDDDEEEFFFGGGHHH

2

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.

3

Final Answer

BH BH

Practice Quiz

Test your knowledge with interactive questions

A cuboid is shown below:

222333555

What is the surface area of the cuboid?

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Cuboids questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations