diff --git a/tools/FakeRAM2.0/test/memory_test.py b/tools/FakeRAM2.0/test/memory_test.py
index bea42cb229..ee586299d4 100755
--- a/tools/FakeRAM2.0/test/memory_test.py
+++ b/tools/FakeRAM2.0/test/memory_test.py
@@ -77,6 +77,53 @@ def test_memory(self):
         self.assertEqual(timing_data.cycle_time_ns, 0.1566)
         self.assertEqual(timing_data.fo4_ps, 9.0632)
 
+    def _create_sp_ram(self, process, width, depth):
+        mem_config = MemoryConfig.from_json(
+            {"name": "sample", "width": width, "depth": depth, "banks": 1}
+        )
+        return MemoryFactory.create(mem_config, "RAM", "SP", process, TimingData())
+
+    def _pin_height(self, process, memory):
+        return 2 * process.y_offset + memory.get_num_pins() * process.pin_pitch_um
+
+    def test_shallow_memory_is_tall_enough_for_its_pins(self):
+        """
+        A 4x25 RAM's bitcells are 1.296 um tall, too short for its 55 pins;
+        it is made as tall as its pins need, snapped up to 2.8 um
+        """
+
+        memory = self._create_sp_ram(self._process, 25, 4)
+        physical = memory.get_physical_data()
+        self.assertEqual(memory.get_num_pins(), 55)
+        self.assertGreaterEqual(
+            physical.get_height(), self._pin_height(self._process, memory)
+        )
+        self.assertAlmostEqual(physical.get_height(), 2.8, delta=self._delta)
+
+    def test_deep_memory_keeps_bitcell_height(self):
+        """A memory whose bitcells already fit its pins is not made taller"""
+
+        memory = self._create_sp_ram(self._process, 32, 64)
+        _, height = self._process.get_macro_dimensions(32, 64, 1, 0)
+        self.assertGreater(height, self._pin_height(self._process, memory))
+        self.assertAlmostEqual(
+            memory.get_physical_data().get_height(), 21.0, delta=self._delta
+        )
+
+    def test_pins_fit_exactly_without_snapping(self):
+        """
+        With a 1 nm snap the height is exactly what the pins need, and
+        every pin still gets a track
+        """
+
+        process_data = TestUtils.get_base_process_data().copy()
+        process_data["snap_height_nm"] = 1
+        process = Process(process_data)
+        for width in range(1, 300):
+            # constructing the memory raises if its pins do not fit
+            memory = self._create_sp_ram(process, width, 4)
+            self.assertGreaterEqual(memory.get_physical_data().get_pin_pitch(), 0)
+
 
 if __name__ == "__main__":
     unittest.main()
diff --git a/tools/FakeRAM2.0/utils/class_memory.py b/tools/FakeRAM2.0/utils/class_memory.py
index 33d81f9d94..b6631a7aba 100644
--- a/tools/FakeRAM2.0/utils/class_memory.py
+++ b/tools/FakeRAM2.0/utils/class_memory.py
@@ -42,11 +42,18 @@ def __init__(self, mem_config, process, timing_data):
             width_um, height_um = self.process.get_macro_dimensions(
                 self.width_in_bits, self.depth, self.num_banks, self.additional_height
             )
+            # Signal pins are stacked one per track up the left edge, inset
+            # by y_offset at both ends, so the macro must be at least that
+            # tall; a shallow memory with many pins is otherwise too short
+            num_pins = self.get_num_pins()
+            height_um = max(
+                height_um,
+                2 * self.process.y_offset + num_pins * self.process.pin_pitch_um,
+            )
             self.physical.set_extents(width_um, height_um)
             self.physical.snap_to_grid(
                 self.process.snap_width_nm, self.process.snap_height_nm
             )
-            num_pins = self.get_num_pins()
             self.physical.set_pin_pitches(
                 self.get_name(),
                 num_pins,
diff --git a/tools/FakeRAM2.0/utils/class_process.py b/tools/FakeRAM2.0/utils/class_process.py
index c11dae3d6a..487a853e6a 100644
--- a/tools/FakeRAM2.0/utils/class_process.py
+++ b/tools/FakeRAM2.0/utils/class_process.py
@@ -119,11 +119,6 @@ def get_macro_dimensions(self, width_in_bits, depth, num_banks, additional_heigh
 
         total_height += additional_height
 
-        min_height = max(
-            3.5, self.snap_height_nm / 1000.0 if self.snap_height_nm else 0
-        )
-        total_height = max(total_height, min_height)
-
         return (total_width, total_height)
 
     def get_tech_nm(self):
diff --git a/tools/FakeRAM2.0/utils/physical_data.py b/tools/FakeRAM2.0/utils/physical_data.py
index 5c2aaefdfd..06ab390baa 100644
--- a/tools/FakeRAM2.0/utils/physical_data.py
+++ b/tools/FakeRAM2.0/utils/physical_data.py
@@ -92,7 +92,11 @@ def set_pin_pitches(self, name, num_pins, min_pin_pitch, y_offset):
             raise Exception(
                 f"Error: attempting to set pin pitches before height ({name})"
             )
-        number_of_tracks_available = math.floor((h - 2 * y_offset) / min_pin_pitch)
+        # Rounded before flooring: a height that fits its pins exactly would
+        # otherwise lose a track to float error (e.g. 46.99999 -> 46)
+        number_of_tracks_available = math.floor(
+            round((h - 2 * y_offset) / min_pin_pitch, 6)
+        )
         number_of_spare_tracks = number_of_tracks_available - num_pins
 
         if number_of_spare_tracks < 0: