How to generate a tensor by a given list, which specifies the ranges and dimensions of the tensor?

Question

I am trying to create a function that generates a tensor according to a list, each of whose elements specifies the range of the corresponding dimension of the tensor and whose length specifies the total dimension of the tensor. I tried two versions using mainly "Table" and "Splice" functions.

Version 1:

ClearAll[i]
imax = {2, 3, 4};
Table[i[n], {n, Length[imax]}]
Table[{i[n], imax[[n]]}, {n, Length[imax]}]
Table[%%, Splice[%, Table]]

which produces

{i[1], i[2], i[3]}
{{i[1], 2}, {i[2], 3}, {i[3], 4}}
Table[%%, Splice[%, Table]]

where "Splice" fails to work.

Version 2:

ClearAll[i]
imax = {2, 3, 4};
Table[i[n], {n, Length[imax]}]
Table[{i[n], imax[[n]]}, {n, Length[imax]}]
Table[%%, Splice[{{i[1], 2}, {i[2], 3}, {i[3], 4}}, Table]]

which produces

{i[1], i[2], i[3]}
{{i[1], 2}, {i[2], 3}, {i[3], 4}}
{{{{1, 1, 1}, {1, 1, 2}, {1, 1, 3}, {1, 1, 4}}, {{1, 2, 1}, {1, 2, 
    2}, {1, 2, 3}, {1, 2, 4}}, {{1, 3, 1}, {1, 3, 2}, {1, 3, 3}, {1, 
    3, 4}}}, {{{2, 1, 1}, {2, 1, 2}, {2, 1, 3}, {2, 1, 4}}, {{2, 2, 
    1}, {2, 2, 2}, {2, 2, 3}, {2, 2, 4}}, {{2, 3, 1}, {2, 3, 2}, {2, 
    3, 3}, {2, 3, 4}}}}

where "Splice" works as expected.

Questions:

1. Why "Splice" does not work in the first version?
2. How can I embed "Splice" properly into "Table", so that I could make a function such as

TensorByList[list_]:=Module[{tensor},...;tensor]

which creates a tensor without a need to setup the iterators, which was the case with "Table" when I want to create a high dimension tensor:

Table[{i1,i2,...},{i1,i1max},{i2,i2max},...]

Answer 1

It is easier to use "Array" instead of "Table" and "Splice" because "Array" takes a list of dimensions:

i = 1;
tensor = Array[a[i++] &, imax];
tensor // MatrixForm