diff --git a/tests/kernel-cases/sheet-metal/978-edge-flange-beside-a-ledge-as-tall-as-its-setback/expected.json b/tests/kernel-cases/sheet-metal/978-edge-flange-beside-a-ledge-as-tall-as-its-setback/expected.json
index b6d90092f..5f1042e20 100644
--- a/tests/kernel-cases/sheet-metal/978-edge-flange-beside-a-ledge-as-tall-as-its-setback/expected.json
+++ b/tests/kernel-cases/sheet-metal/978-edge-flange-beside-a-ledge-as-tall-as-its-setback/expected.json
@@ -3,7 +3,11 @@
   "tangency-labs/solidcraft#978"
  ],
  "what": "a 90 degree inside flange of radius 1 on an edge that has a ledge beside it exactly as tall as the flange's setback (3 mm): sew failed with a degenerate edge",
- "source": "invariants",
- "method": "T = 2, flange R = 1: setback R + T = 3 and the ledge (x 97..100, y 0..3) is exactly that tall, so the trim line runs along the ledge's top; the right answer is one valid closed body (the ledge goes with the setback strip), with no graded volume because the flange's extent along the ledge has no single reading",
- "body_count": 1
+ "source": "analytic",
+ "method": "T = 2, flange R = 1, inside: the setback R + T = 3 strips y 0..3 off the base, and the ledge (x 97..100, y 0..3) lies wholly in that strip, so the base left is x 0..97, y 3..60 (11058). The bend (a quarter annulus of radii 1..3, 2 pi a mm) and the panel (leg 20 - 3 = 17, 34 a mm) run along the edge either as far as the base's remaining edge (97) or the picked edge (100), the reading the case leaves open: V lies between 11058 + 97 (2 pi + 34) = 14965.468975 and 11058 + 100 (2 pi + 34) = 15086.318531; a flange missing, or the base left untrimmed by the setback, falls outside",
+ "body_count": 1,
+ "volume_mm3": [
+  14965.468,
+  15086.319
+ ]
 }
\ No newline at end of file