Allocate memory to char *** in C

Question

So, I'm having trouble in allocating memory for a char *** type variable. My objective is to create a matrix of strings and the code I currently have for memory allocation is the following:

char ***matrix;

matrix = calloc(n*MAX_STR, sizeof(char**));
for(z = 0; z < n; z++) {
    matrix[z] = calloc(n, sizeof(char*));
    for(i = 0; i < MAX_STR; i++) {
        matrix[z][i] = calloc(MAX_STR, sizeof(char));
    }
}

I have successfully allocated memory for an array of strings, using this:

char **list;
list = calloc(n, sizeof(char *));
for (j = 0; j < n; j++){
list[j] = calloc(MAX_STR, sizeof(char));
}

but I'm now having problems with the matrix.

Running the program with --leak-check=full on Valgrind gives me the following message:

==5126== Invalid write of size 8
==5126==    at 0x400B9F: createmat (proj.c:100)
==5126==    by 0x401598: main (proj.c:237)
==5126==  Address 0x5210878 is 0 bytes after a block of size 72 alloc'd
==5126==    at 0x4C2ABB4: calloc (vg_replace_malloc.c:593)
==5126==    by 0x400B52: createmat (proj.c:98)
==5126==    by 0x401598: main (proj.c:237)

I'd like to figure out out to allocate memory for this, since I'm still a beginner when it comes to memory management in C. Any help would be appreciated, thanks.

EDIT: The matrix is supposed to store n arrays of strings, which correspond to the lines of the input (it's read with fgets later), and each array allocates whichever number of words the line has, with each word (read, each string) having at max a MAX_STR number of characters. n is a variable read from the input, while MAX_STR is a constant defined in the program.

Answer 1

Matrix of String or/ 3D char array:

Suppose you need N matrices, each matrix can store R strings of length MAX_STR-1 then you should allocated memory your loop as follows, like:

char ***matrix;

matrix = calloc(N, sizeof(char**)); 
for(z = 0; z < N; z++) { 
    matrix[z] = calloc(R, sizeof(char*));
    for(i = 0; i < R; i++) {
        matrix[z][i] = calloc(MAX_STR, sizeof(char));
    }
}

Its will create matrix like:

matrix
+-------------------+------------------+-----------------------+
| 0                 | 1                | 2                     |
+-------------------+------------------+-----------------------+        
 |                           |                        |
 ▼                           ▼                        ▼
+--+    +----------+       +--+    +----------+     +--+    +----------+
|0 +---►| MAX_STR  |       |0 +---►| MAX_STR  |     |0 +---►| MAX_STR  |
+--+    +----------+       +--+    +----------+     +--+    +----------+
|1 +---►| MAX_STR  |       |1 +---►| MAX_STR  |     |1 +---►| MAX_STR  |
+--+    +----------+       +--+    +----------+     +--+    +----------+
|2 +---►| MAX_STR  |       |2 +---►| MAX_STR  |*    |2 +---►| MAX_STR  |
+--+    +----------+       +--+    +----------+     +--+    +----------+
|3 +---►| MAX_STR  |       |3 +---►| MAX_STR  |     |3 +---►| MAX_STR  |
+--+    +----------+       +--+    +----------+     +--+    +----------+
|4 +---►| MAX_STR  |       |4 +---►| MAX_STR  |     |4 +---►| MAX_STR  |
+--+    +----------+       +--+    +----------+     +--+    +----------+
|5 +---►| MAX_STR  |       |5 +---►| MAX_STR  |     |5 +---►| MAX_STR  |
+--+    +----------+       +--+    +----------+     +--+    +----------+
|6 +---►| MAX_STR  |       |6 +---►| MAX_STR  |     |6 +---►| MAX_STR  |
+--+    +----------+       +--+    +----------+     +--+    +----------+
|7 +---►| MAX_STR  |       |7 +---►| MAX_STR  |     |7 +---►| MAX_STR  |
+--+    +----------+       +--+    +----------+     +--+    +----------+
 ^        ^ 
 |        |
 |        matrix[z][i]
 matrix[z]

Here N = 3, and
R = 8

Its char 3D array of size matrix[N][R][MAX_STR]

Suppose, if someone wants to printf string I marked * in diagram, that is third string in second array, then he/she need to index like

printf("%s",matrix[1][2]);

_{Although answer is accepted I am updating my answer so onw can find it helpful in future}