The answer is phagocytosis.
Phagocytosis is a process which amoeba uses to swallow up large fragments of matter, such as mineral particles, dead cells. These swallowed fragments form a phagosome. The phagosome fuses with a lysosome and forms a phagolysosome inside which enzymes break down those fragments.
Phagocytosis is a specific form of endocytosis.