The heart pumps blood throughout the body, bringing oxygen and glucose to all the cells of the body. The blood picks up carbon dioxide from the cells and carries it back to the heart, then to the lungs, where the carbon dioxide is passed into air in the lung's air sacs and removed from the body, and more oxygen is picked up for delivery to the body's cells.
The tissues need glucose and oxygen to live so you need the heart to pump the blood out which carries these things.