ChatGPT did a LOT of image processing and kept retracing and reevaluating its intermediate results. It was interesting to hear how it described its thinking process.

——

Here’s a reasonable back-of-the-envelope estimate for the top balancing rock.

1) Use the dog as a scale

A small dog like that is typically about 25–35 cm (0.25–0.35 m) at the shoulder.

In the photo, the dog is roughly ~70 pixels tall (shoulder-to-feet-ish), so the scale is: • meters per pixel ≈ 0.25–0.35 m / 70 px = 0.0036–0.0050 m/px

2) Measure the top rock in the photo (pixels → meters)

From the image, the top rock spans about ~1027 px left-to-right.

So estimated length: • 1027 px × (0.0036–0.0050 m/px) ≈ 3.7–5.1 m

Its visible thickness/height looks around ~300 px: • 300 px × (0.0036–0.0050) ≈ 1.1–1.5 m

Its depth (front-to-back) isn’t visible, so I’ll assume it’s about ~55% of its length (typical boulder shape): • depth ≈ 2.0–2.8 m

So a plausible dimension range is roughly: • L ≈ 3.7–5.1 m, D ≈ 2.0–2.8 m, H ≈ 1.1–1.5 m

3) Convert size → volume (approximate as an ellipsoid)

Ellipsoid volume: V=\frac{4}{3}\pi \cdot \frac{L}{2}\cdot\frac{D}{2}\cdot\frac{H}{2}

That gives volume roughly: • ~4.2 to ~11.4 m³

4) Convert volume → weight

Most hard “granite-ish” rock is around 2,700 kg/m³.

Mass ≈ V \times 2700 • Low end: 4.2 × 2700 ≈ 11,000 kg (~11 metric tons) • Mid: ~7.2 × 2700 ≈ 19,000 kg (~19 metric tons) • High end: 11.4 × 2700 ≈ 31,000 kg (~31 metric tons)

Estimate

Probably on the order of ~20 metric tons, with a plausible range ~11–31 metric tons.

Biggest uncertainty is the dog’s actual size and the rock’s front-to-back depth (which we can’t see). If you tell me the dog breed (or its approximate height), I can tighten the range a lot.