Amoeba has finger-like projections or the false feet that it forms around the food particle and these projections are known as pseudopodia.
It is through these pseudopodia that the amoeba can take in its food.
Amoeba uses its pseudopodia to encircle the food and forms a food vacuole in which the food particle gets trapped and this is termed as phagocytosis.
Inside the food vacuole, the food particles get digested due to the various digestive enzymes and finally get absorbed whereas the undigested particles are simply thrown out of the body.
Thus, the amoeba can take in food via the pseudopodia.