Answer & Step by Step Explanation:
What the question does not say, but what I will assume is true to have your answer of 10, is that the dimensions must be whole numbers.
Otherwise there would be an infinite number of cases
So we need 3 multipliers (LWH) to get 28
the factors of 28 in triples are
1 1 28
1 2 14
1 4 7
2 2 7
now each one of these can be turned to have a different base
e.g. the first one can be arranged only 2 ways, that is , a base of 1 or a base of 28
Same is true of last one, but the 2nd and 3rd can each have 3 different bases
so:
factors-- number of ways
1 1 28 -- 2
1 2 14 -- 3
1 4 7 --- 3
2 2 7 --- 2
total number of ways = 2+3+3+2 = 10
I hope this makes sense to you
