Final answer:
The child is demonstrating the concept of conservation when understanding that a sandwich cut into two pieces still has the same amount as a whole sandwich.
Step-by-step explanation:
The child is demonstrating the concept of conservation when understanding that a sandwich cut into two pieces still has the same amount as a whole sandwich. Conservation is a cognitive ability that develops during Piaget's concrete operational stage, which occurs from about 7 to 11 years old. Children at this stage can think logically about real events and understand transformations, such as the fact that even if something changes shape, its mass, volume, and number stay the same.