v3.26.1
Cover - shares
 6 Months Ended
Jun. 30, 2026
Aug. 11, 2026
Document Information [Line Items]    
Document Type 10-Q  
Document Quarterly Report true  
Document Transition Report false  
Entity Interactive Data Current Yes  
Amendment Flag false  
Document Period End Date Jun. 30, 2026  
Document Fiscal Year Focus 2026  
Document Fiscal Period Focus Q2  
Entity Registrant Name RICE ACQUISITION CORPORATION 3  
Entity Central Index Key 0002074872  
Entity File Number 001-42883  
Entity Tax Identification Number 98-1863122  
Entity Incorporation, State or Country Code E9  
Current Fiscal Year End Date --12-31  
Entity Current Reporting Status Yes  
Entity Shell Company true  
Entity Filer Category Non-accelerated Filer  
Entity Small Business true  
Entity Emerging Growth Company true  
Entity Ex Transition Period false  
Entity Address, Address Line One 102 East Main Street  
Entity Address, Address Line Two Second Story  
Entity Address, City or Town Carnegie  
Entity Address, State or Province PA  
Entity Address, Postal Zip Code 15106  
City Area Code (412)  
Local Phone Number 228-1801  
Units, each consisting of one Class A ordinary share, $0.0001 par value, and one-sixth of one redeemable warrant    
Document Information [Line Items]    
Title of 12(b) Security Units, each consisting of one Class A ordinary share, $0.0001 par value, and one-sixth of one redeemable warrant  
Trading Symbol KRSP U  
Security Exchange Name NYSE  
Class A ordinary share, $0.0001 par value    
Document Information [Line Items]    
Title of 12(b) Security Class A ordinary share, $0.0001 par value  
Trading Symbol KRSP  
Security Exchange Name NYSE  
Warrants, exercisable for one Class A ordinary share at an exercise price of $11.50 per share    
Document Information [Line Items]    
Title of 12(b) Security Warrants, exercisable for one Class A ordinary share at an exercise price of $11.50 per share  
Trading Symbol KRSP WS  
Security Exchange Name NYSE  
Class A Ordinary Shares    
Document Information [Line Items]    
Entity Common Stock, Shares Outstanding   34,502,500
Class B Ordinary Shares    
Document Information [Line Items]    
Entity Common Stock, Shares Outstanding   11,500,100