Rubinart一道目前只有o1能答对的数学题 中发帖

Let B be the set of rectangular boxes with surface area 54 and volume 23. Let r be the radius of the smallest sphere that can contain each of the rectangular boxes that are elements of B. The value of r^2 can be written as p/q, where p and q are relatively prime positive integers. Find p+q. 
答案是721