Amoeba obtains its food with the help of pseudopodia ( false legs ) and the process is endocytosis and if we go in detail then it is phagocytosis ( part of endocytosis ).....( hopes this will help you )

How an Amoeba Obtains its Food

Amoebas are unicellular organisms that belong to the kingdom Protista. They are heterotrophs, which means they cannot produce their own food and rely on external sources for their nutrition. Here's a detailed explanation of how an amoeba obtains its food.

Engulfment of Food Particles
Amoebas feed on a variety of organisms, including bacteria, algae, and other protists. They use a process called phagocytosis to engulf their food. It involves the following steps:

1. The amoeba extends its pseudopodia (false feet) towards the food particle.
2. The pseudopodia surround the food particle and form a food vacuole.
3. The food vacuole is then pinched off from the cell membrane and brought into the cytoplasm of the amoeba.
4. The food particle is digested by the enzymes present in the food vacuole.

Excretion of Waste Material
After digestion, the waste material is excreted out of the cell through a process called egestion. The undigested food particles are expelled out of the cell by exocytosis.

Nutrient Absorption
The nutrients released from the food particles during digestion are absorbed by the amoeba through the cell membrane. The cell membrane of the amoeba is permeable to small molecules like glucose, amino acids, and fatty acids. These molecules diffuse into the cytoplasm of the cell and are used for various metabolic processes.

Conclusion
In summary, amoebas obtain their food through phagocytosis, digest it in the food vacuole, and absorb the nutrients released from the food particles through the cell membrane. The waste material is excreted out of the cell through egestion. This process enables amoebas to survive in a variety of environments and maintain their energy levels.