What is an intercellular space? Diffusion through a gas-filled space is approximately ________________times faster than through a liquidfilled space. Living cells deep inside a bulky object such as an apple need oxygen. Do you think the oxygen could diffuse to those cells fast enough if there were no intercellular spaces? Would you guess (you will have to guess, as the answer is not in the text) that all or most of the intercellular spaces are interconnected such that oxygen could diffuse deep into an apple without ever having to dissolve into protoplasm?