Final answer:
The false statement is that "The diaphragm separates the abdominal cavity from the pelvic cavity"; the diaphragm actually separates the thoracic cavity from the abdominopelvic cavity.
Step-by-step explanation:
The statement that is false is: "The diaphragm separates the abdominal cavity from the pelvic cavity." The diaphragm actually separates the thoracic cavity from the abdominopelvic cavity.
The thoracic cavity contains the lungs and the heart, which is located in the mediastinum, whereas the abdominopelvic cavity is split into the abdominal and pelvic cavities but not by the diaphragm.
The vertebral canal, another term for spinal cavity, indeed contains the spinal cord. Lastly, the pleural cavities, each housing a lung, are indeed part of the thoracic cavity.