An R-value calculator converts an insulation material and thickness into a total R-value, and works backwards to tell you the thickness needed to hit a target R. R-value is the standard measure of how well insulation resists heat flow — higher is warmer in winter and cooler in summer.
Different materials give very different R per inch (rigid foam packs far more than batts), so this is how you compare options and check whether a cavity depth can reach the R-value your climate calls for.
Total R-value = R per inch × thickness in inches. U-factor = 1 ÷ R. R per inch is material-specific (≈3.2 fiberglass batt, 3.5 cellulose, 5 XPS, 6-6.5 foam board/spray foam). Nominal R assumes no compression or gaps; thermal bridging and voids lower the effective whole-assembly R.
6 inches of fiberglass batt (R-3.2 per inch) gives about R-19. To reach R-49, you would need about 15 inches of it.