I am not privy to Mars One's solution. One usual expected answer is to build your water tanks around the living areas of the craft.
Yeah, I thought it was common knowledge that they were planning on packing the food and water and poop on the outside of the living area to act as shielding. When the Mars One story first hit, there were additional articles and sections that discussed the poop angle, because normal people would think that an odd material to use.
I guess we don't all read the science section of Google News.