I just went and looked at the one I bought my son at WALMART last year...I got the biggest one they had at the time. YES, it does fit in the cart, just about like the box in LR and JC's basket. It barely fits, but, you can balance it in there.
When it was asked if Hasanni would fit inside

it would depend on the brand, but this was the biggest one they carried last year and there is NO WAY he would fit. The motor is on the bottom of the fridge(causing a large 'bump' in the bottom of the inside of fridge) that along with the little ice compartment, there is room for say a gallon of milk on the bottom shelf and a few sodas lying on the top shelf.
BUT~the BOX is WAY BIG ENOUGH...it came with LOTS of styrofoam about 2 inches or so around it on all sides...