diff --git a/src/barril/units/_quantity.py b/src/barril/units/_quantity.py
index ecfb060..0faab7c 100644
--- a/src/barril/units/_quantity.py
+++ b/src/barril/units/_quantity.py
@@ -9,6 +9,7 @@
     UnitDatabase,
     UnitsError,
     FixUnitIfIsLegacy,
+    ComposedUnitError,
 )
 from oop_ext.interface._interface import ImplementsInterface
 
@@ -677,9 +678,17 @@ def Convert(self, value, to_unit):
         :returns:
             An object with values to the passed unit.
         """
-        return self._unit_database.Convert(
-            self._category, self._CreateUnitsWithJoinedExponentsString(), to_unit, value
-        )
+        try:
+            return self._unit_database.Convert(
+                self._composing_categories, self._composing_units, to_unit, value
+            )
+        except ComposedUnitError:
+            return self._unit_database.Convert(
+                self._category,
+                self._CreateUnitsWithJoinedExponentsString(),
+                to_unit,
+                value,
+            )
 
     @classmethod
     def _GetComparison(cls, operator, use_literals=False):
diff --git a/src/barril/units/_tests/test_scalar.py b/src/barril/units/_tests/test_scalar.py
index aaaf305..0a9810a 100644
--- a/src/barril/units/_tests/test_scalar.py
+++ b/src/barril/units/_tests/test_scalar.py
@@ -383,6 +383,13 @@ class MyScalar(units.Scalar):
     scalar = Scalar("length", 1.18, "m")
     assert scalar.GetFormatted() == "1.18 [m]"
 
+    # Check that squared works
+    scalar2 = scalar * scalar
+    assert scalar2.GetFormatted("m2") == "1.3924 [m2]"
+    assert scalar2.GetFormattedValue("m2") == "1.3924"
+    assert scalar2.GetFormatted((("m", 2),)) == "1.3924 [('m', 2)]"
+    assert scalar2.GetFormattedValue((("m", 2),)) == "1.3924"
+
 
 def testCopyProperties(unit_database_well_length):
     """