Final answer:
The stack in RAM grows by adding stack frames in a Last In, First Out manner, where each new stack frame is added to the top of the stack as functions are called. This is analogous to stacking books where the volume of the stack increases with each addition, although in memory, exceeding the stack size can cause errors.
Step-by-step explanation:
The way the stack grows in RAM (Random Access Memory) involves the allocation and deallocation of memory in a Last In, First Out (LIFO) order. When a function is called in a program, a block of memory, more commonly referred to as a stack frame, is allocated on the stack. This stack frame typically includes the function's local variables, and the return address. As more functions are called, more stack frames are added on top of each other, causing the stack to grow downwards towards lower memory addresses in most systems.
If we think of memory in a visual sense, similar to a volume of stack (e.g., a pile of books), each stack frame is like adding another book onto the stack, with the resulting stack size being equivalent to adding the volumes of individual books together. This method of measuring physical dimensions can be analogous to estimating the number of pages in the stack of memory frames. For example, if we had a book with dimensions 6 inches in length, 3 inches in width, and 0.5 inches in height, then using the formula for volume, the volume of the book would be the product of those dimensions, resulting in 9 cubic inches. Just like with books, we can add up the size of each frame to get the total size of the stack. However, unlike actual physical stacks, exceeding the allocated stack size in memory can lead to errors such as stack overflows.