First abit about dilution..
The formula for dilution is:
Specific gravity/desired specific gravity*volume = volume required
You then have to take your original volume off this figure to give you the amount to add to the FV. So if you had 15L of 1.070 beer and you wanted 1.045 the workings are:
70/45*15 = 23.33L
Minus the original 15L = 8.33L to be added.

I just picked those numbers out of the air and it nearly answers your question
We can now transpose this equation to give us what you want..
So you want 23L, your cube is 15L and you want an OG of 1.045.
The formula is:
Post dilution Volume/Pre dilution volume * Desired gravity = Target Gravity
using the above figures:
23/15*45= 68.99
So your target gravity for 15L is 1.069 (rounded)
Edit: Beaten by PP
and by a more simple answer
Why is everyone talking about
"Cheese"