Prostate Volume Calculator — Ellipsoid Method & PSA Density
Calculate prostate volume from length, width, and height using the ellipsoid formula, plus PSA density (PSAD) with the 0.15 and 0.20 thresholds.
Leave blank to see prostate volume only.
Volume = 0.52 × Length × Width × Height (cm), the standard clinical rounding of the ellipsoid coefficient π/6 ≈ 0.523. PSA Density (PSAD) = Serum PSA ÷ Prostate Volume. PSAD is one data point among several used in prostate cancer risk assessment — PSA velocity, free/total PSA ratio, MRI findings (PI-RADS score), age, and family history all factor into an actual clinical decision. This tool is for education and reference only and does not replace evaluation by a urologist.
Reference Values
Last verified:| Category | Range | What It Means | Status |
|---|---|---|---|
| Ellipsoid Formula Coefficient | 0.52 (clinical rounding of π/6 ≈ 0.523) | Standard coefficient used in the ellipsoid (prolate spheroid) method for TRUS and MRI prostate volume estimation. Multiplied by length × width × height (all in cm) to yield volume in cc (mL). 0.52 is the conventional clinical rounding; 0.523 is the mathematically exact π/6 coefficient. | Good |
| Typical Adult Gland Volume | ~20–30 cc (25 cc average) | Approximate normal range for a healthy adult prostate. Volume tends to increase with age due to benign prostatic hyperplasia (BPH) — a large gland alone does not indicate cancer, which is exactly why PSA density adjusts PSA for gland size instead of using raw PSA alone. | Good |
| Normal / Low-Risk PSAD ★ | 0.15 ng/mL/cc or below | Classic, most widely cited PSA density threshold. Values at or below this level are generally considered less suspicious for clinically significant prostate cancer, though PSAD is only one factor among several used in an actual risk assessment. | ★ Best |
| Elevated PSAD (Classic Threshold) | Above 0.15 ng/mL/cc | Long-standing threshold associated with increased prostate cancer risk, particularly when total PSA itself falls in the 4–10 ng/mL 'diagnostic gray zone.' Often prompts consideration of further workup such as MRI or biopsy, in combination with other risk factors. | Okay |
| Newer Alternative Threshold | 0.20 ng/mL/cc | Some more recent analyses — particularly in patients with a negative or equivocal MRI — suggest 0.20 may better distinguish clinically significant cancer and reduce unnecessary biopsies. This is presented as an emerging, alternative consideration alongside the classic 0.15 cutoff, not a replacement for it. | Okay |
Source: Ellipsoid (prolate spheroid) volume method as used in transrectal ultrasound (TRUS) and MRI prostate volume assessment; PSA density concept and 0.15 ng/mL/cc cutoff originate from Benson et al. (1992, J Urol) and are widely reproduced in urology/radiology reference tools (MDCalc-style clinical calculators, AUA guidance); 0.20 ng/mL/cc alternative threshold drawn from more recent MRI-era PSAD biopsy-decision literature. Aggregated from standard urology/radiology reference sources — always confirm against your urologist's interpretation and institutional protocol.
Worked Examples
Normal-Sized Gland, Normal PSAD
- Length
- 4 cm
- Width
- 3 cm
- Height
- 3 cm
- PSA
- 1.2 ng/mL
Volume = 0.52 × 4 × 3 × 3 = 0.52 × 36 = 18.72 cc. PSAD = 1.2 ÷ 18.72 = 0.06 ng/mL/cc — well below the 0.15 threshold, consistent with low risk from PSA density alone.
Borderline Case — Classic vs. Newer Threshold
- Length
- 4 cm
- Width
- 3.5 cm
- Height
- 3.5 cm
- PSA
- 5.0 ng/mL
Volume = 0.52 × 4 × 3.5 × 3.5 = 0.52 × 49 = 25.48 cc. PSAD = 5.0 ÷ 25.48 = 0.196 ng/mL/cc — above the classic 0.15 cutoff (flagged as elevated) but just under the newer 0.20 alternative threshold, illustrating why the two thresholds can disagree on a borderline result.
Enlarged Gland (BPH) — Volume Explains an Elevated PSA
- Length
- 5.5 cm
- Width
- 4.5 cm
- Height
- 4.5 cm
- PSA
- 4.5 ng/mL
Volume = 0.52 × 5.5 × 4.5 × 4.5 = 0.52 × 111.375 = 57.92 cc. PSAD = 4.5 ÷ 57.92 = 0.08 ng/mL/cc — despite an absolute PSA that could look concerning alone, the larger gland (typical of benign prostatic hyperplasia) brings PSA density back into the normal range.
Small Gland, High PSA — Elevated by Both Thresholds
- Length
- 3 cm
- Width
- 2.5 cm
- Height
- 2.5 cm
- PSA
- 6.0 ng/mL
Volume = 0.52 × 3 × 2.5 × 2.5 = 0.52 × 18.75 = 9.75 cc. PSAD = 6.0 ÷ 9.75 = 0.62 ng/mL/cc — well above both the classic 0.15 and newer 0.20 thresholds, a pattern that typically warrants further urology workup.
Volume-Only Measurement (No PSA Entered)
- Length
- 4.5 cm
- Width
- 3.5 cm
- Height
- 3.5 cm
- PSA
- not entered
Volume = 0.52 × 4.5 × 3.5 × 3.5 = 0.52 × 55.125 = 28.67 cc — within the typical adult range (~20–30 cc). PSAD cannot be calculated without a PSA value, so the calculator shows volume only until one is entered.
How to Use This Calculator
- 1
Choose your measurement units
Select centimeters (the standard imaging report unit) or inches — the calculator converts automatically.
- 2
Enter length, width, and height
Use the three prostate dimensions from your TRUS or MRI report, measured in the same units.
- 3
Read the calculated volume
The ellipsoid formula (0.52 × L × W × H) returns volume instantly in cc (mL).
- 4
Optionally enter your PSA to see PSA density
Enter serum PSA in ng/mL to calculate PSAD and see whether it falls above or below the 0.15 and 0.20 reference thresholds.
What Each Value Means
- Prostate Volume (cc (mL))
- The estimated size of the prostate gland in cubic centimeters (cc), calculated from length, width, and height measurements using the ellipsoid method. Also referred to interchangeably as mL since 1 cc = 1 mL.
- PSA (Prostate-Specific Antigen) (ng/mL)
- A protein measured in blood serum that rises with prostate tissue growth, whether from benign enlargement (BPH), inflammation, or cancer. Used as the numerator in the PSA density calculation.
- PSA Density (PSAD) (ng/mL/cc)
- Serum PSA divided by prostate volume, correcting a raw PSA value for gland size. Higher PSAD relative to volume increases suspicion that a PSA elevation reflects cancer rather than benign enlargement alone.