if what you are talking about is what equals what.
1 ten frame deep = 2 eight frame mediums
1 five frame deep nuc = 1 eight frame medium
4 eight frame mediums = 2 ten frame deeps
3 ten frame mediums = 2 ten frame deeps
These is not exact measurements but are close enough for you to judge the strength of a colony. Like hive one has five deep frames full of bees and hive two has fight medium frames full of bees. they are about the same strength.
As Sterling points out, the above is plenty sufficient for general comparisons. However, it's a Friday afternoon at work and I'm dead in the water waiting for someone to return my phone call...so I decided to play with Excel a little and see exactly what the numbers look like. For my purposes, I decided to look at it as total square inches of comb, using 19 X 6.25 for mediums and 19 X 9.125 for Deeps, I figured a single medium frame has 237 1/2 square inches of comb, whereas a single Deep is 346 3/4 .
I highlighted the comparisons from Sterlings post.1 ten frame deep = 2 eight frame mediums
** Here, the 2 eight frame mediums technically give you the equivalent of nearly 1 and 1/2 more medium frames, 1.4 to be exact. OR, nearly a full extra Deep frame (.96 of a deep) 1 five frame deep nuc = 1 eight frame medium
** Here, the 8 frame medium gives you nearly 3/4 of a medium frame extra...(.70)4 eight frame mediums = 2 ten frame deeps
** Here, the 4 eight frame mediums give you 2.8 more medium frames, OR almost two full Deeps (1.92)3 ten frame mediums = 2 ten frame deeps
** Here the 3 ten frame mediums give you a little over 3/4ths of a Medium extra (.80)