Question

how does an Amoeba obtain its food

Answer 1

with the help of its false feet or psudopodeia, amoeba obtains it's food.
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Answer 2

Amoeba captures food by a movement called pseudopodia where the amoeba extends it's false feet and engulfs the food particles. amoeba captures it's good with the help of finger-like projections called false feet Amoeba literally fuses with the food particles and engulfs it.