What is 3-Piece Bathroom Rough-In: IPC Pipe Sizing and Supply Layout?
Mathematical Foundation
Laws & Principles
- Hot vs. Cold Supply Routing: Cold water runs to all three fixtures (toilet tank, vanity, and shower). Hot water runs to only two (vanity and shower/tub) — toilets use cold water only. Factor this into supply pipe runs: your cold supply trunk is longer than hot. In a manifold (home run) system, each fixture gets its own dedicated line from the manifold.
- PEX vs. Copper Trade-Off: PEX (A or B) is flexible and can sweep around corners at gentle radius bends without fittings, reducing fitting count by 30–50% vs. copper on a typical bath rough-in. Copper requires hard 90° elbows (sweated) at every direction change. PEX costs approximately 30–50% less per linear foot than copper but requires crimp/clamp fittings at stub-outs and manifold connections. Use copper in exposed locations (above ground, visible) and where local code requires it.
- Drain Venting Requirements: IPC requires every fixture trap to be vented within a maximum developed length from the trap weir: lavatory = 5 ft (1.5-inch pipe); shower = 6 ft (2-inch); toilet = 6 ft (3-inch). A wet-vent arrangement — where one fixture's drain also serves as the vent pipe for nearby fixtures — reduces vent pipe labor but must be sized for both drain and vent DFU simultaneously. This estimator assumes a standard wet-vent configuration for compact bathrooms.
Step-by-Step Example Walkthrough
" Roughing in a bathroom where the toilet is 8 ft from the stack, vanity is 12 ft, and shower is 15 ft from the stack. "
- Toilet drain: 8 ft of 3-inch PVC (or ABS) from flange to stack connection. Add a 3×3×3 wye at the stack.
- Vanity drain: 12 ft of 1.5-inch PVC to the P-trap stub-out. Add 1.5-inch P-trap, cleanout, and vent tie-in.
- Shower drain: 15 ft of 2-inch PVC to 2-inch P-trap (built into shower pan). Add 2-inch cleanout fitting.
- Cold supply (all 3 fixtures): (8 + 12 + 15) × 1.20 routing factor = 42 ft of ½-inch PEX or ½-inch Type M copper.
- Hot supply (vanity + shower only): (12 + 15) × 1.20 = 32.4 ft of ½-inch hot supply.