The rectangular prism will fit in the pole if the longest diagonal in the pole is less than 13 feet.
<h3>How to determine the longest dimension in the prism</h3>
The longest diagonal (d) in the prism is calculated using;
Where x, y and z are the dimensions of the prism.
Assume the dimensions are: 4, 5 and 6 feet,
The formula becomes
Using the assumed dimensions, the rectangular prism will fit in the pole if the longest diagonal.
This is so because: 8.8 feet is less than 13 feet
Read more about diagonals at:
brainly.com/question/654982