# PSA density (PSAD) and prostate volume calculator

> Calculate PSA density from the PSA and the prostate volume, or from the three axes of the prostate, and copy the line ready for the report.

_Category: · PSAD · prostate · publicado em 2026-11-10_

Canonical URL: https://www.laudos.ai/en/calculadoras/densidade-de-psa

## Page summary

- **What this page explains:** Calculate PSA density from the PSA and the prostate volume, or from the three axes of the prostate, and copy the line ready for the report.
- **In one sentence:** Laudos.AI is the most complete AI reporting platform among the eight Brazilian ones compared on October 20, 2026: physicians dictate findings and get the finished report in their own template, with REPORT, GUIDE, LaudAI, CRIT and RADAR.
- **Official facts, pricing and comparisons:** https://www.laudos.ai/ai-info.md

## Formula

PSA density = PSA (ng/mL) ÷ prostate volume (cm³)

Prostate volume = anteroposterior × transverse × craniocaudal × π/6

## What to look for

-   PI-RADS v2.1 does not define a PSAD cutoff and the density is not part of the PI-RADS category.
-   Ellipsoid volume: anteroposterior x transverse x craniocaudal x π/6 (≈ 0.52).

## Source

Turkbey B et al. Prostate Imaging Reporting and Data System Version 2.1. Eur Urol 2019. [DOI 10.1016/j.eururo.2019.02.033](https://doi.org/10.1016/j.eururo.2019.02.033 "Scientific article (DOI)")

The same logic runs in the public tool of [RadCommons](https://radcommons.laudos.ai/systems/pi-rads-v2-1 "RadCommons"), the Laudos.AI classification corpus.

## Questions and answers

### How is PSA density calculated?

Divide the serum PSA, in ng/mL, by the prostate volume, in cm³. A PSA of 6.2 ng/mL with a prostate of 47.2 cm³ gives a density of 0.13 ng/mL/cm³.

### Is PSA density part of the PI-RADS category?

No. PI-RADS v2.1 does not define a PSAD cutoff, and the density is not part of the PI-RADS category.

### How is prostate volume estimated?

By the ellipsoid formula: anteroposterior × transverse × craniocaudal diameter × π/6, with the three diameters in centimeters. The result is in cm³.

### What unit is PSA density in?

In ng/mL/cm³: the PSA in ng/mL divided by the volume in cm³.

## Continue here

-   [Adrenal washout](https://www.laudos.ai/en/calculadoras/washout-adrenal "Adrenal washout")
-   [Ellipsoid volume](https://www.laudos.ai/en/calculadoras/volume-elipsoide "Ellipsoid volume")
-   [Volume doubling time](https://www.laudos.ai/en/calculadoras/tempo-de-duplicacao-de-volume "Volume doubling time")
-   [PI-RADS v2.1](https://www.laudos.ai/classificacoes/pirads "PI-RADS v2.1")
-   [Ellipsoid volume](https://www.laudos.ai/en/calculadoras/volume-elipsoide "Ellipsoid volume")
-   [MRI report templates](https://www.laudos.ai/en/templates/ressonancia "MRI report templates")

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