Identify which of the following line segments is the diagonal of the rectangular prism?
We have hundreds of course questions with personalized recommendations + Account 100% premium
Identify which of the following line segments is the diagonal of the rectangular prism?
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.
A cuboid is shown below:
What is the surface area of the cuboid?
A face diagonal lies on one of the rectangular faces of the prism (like AC on the top face). A space diagonal passes through the interior from one vertex to the opposite vertex (like BH).
Opposite vertices are as far apart as possible - they don't share any edges or faces. In this prism, B (top-back-right) is opposite to H (bottom-front-left).
HF connects two vertices on the same vertical edge of the prism. A space diagonal must connect vertices that are diagonally opposite through the entire 3D space.
A rectangular prism has exactly 4 space diagonals. Each connects a vertex to its unique opposite vertex through the interior space.
Yes! Look for vertices that differ in all three dimensions: height (top/bottom), width (left/right), and depth (front/back). These pairs create space diagonals.
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