Well, weight isn't the actual issue, volume is. Our trip is a competition where we can only take one standard size shoebox worth of equipment and the clothes on our back. Every battery I take is that much less room for food.
BTW really? a shoebox for all your equipment and gear. You are going much more hardcore than anyone in our group. We all use some type of military type steel reinforced military backpack or mountain back pack. I'm guessing 25-50 or shoe boxes without stuffing a bunch in there
You have a telescopic fishing pole or know how to trap for food? I don't think you can hardly fit 6 days worth of dehydrated food, can-tine, portable water filtration system...not to mention any cooking equipment. In our case volume is not the issue it's how much weight you want to lug around. Then you get into the expensive titanium cooking gear etc to cut weight down as much as possible.
You doing a survivalist type of thing?
If you are going this hard core I'd do without vaping and look at what you need for essential survival gear. Knife, fishing line, hooks, water filtration/purification system/tablets. Handgun/ammo for hunting. Pliers, needle, cotton balls and vasoline for tinder (or at bare minimum magnesium and zinc rods), needle, thread, for possible stitching. A few antibiotic wipes. Mylar sleeping bags very very light but hold in heat very well. 1 gallon rubber water bag if you still got room maybe a small hand axe. Fishing line could be used for traps but probably want the metal wire. Not even sure the essentials could fit in their. May want to work with your buddies so you don't triple pack anything...i.e. 2 knifes, 2 axes, etc. If you're working together you shouldn't need 3 of anything but redundancy is a good thing.
A Shoebox...just flabbergasted when I re-read this thread and saw that. If that is seriously all you got you got much higher concerns than vaping. Even most common bug-out bags meant to last 4 days to a week are in a school sized book bag and weight 25 lbs or so. If you are seriously going for 6 day trip with nothing but contents in a shoebox I highly recommend rethinking what the priorities are.
I'm very curious about this trip as friends and I have never attempted anything so adventurous/dangerous. Have you ever done anything remotely close to this...I'm just curious if you know what you are getting yourself into. And definitely not trying to discourage you just making sure you know what you're getting yourself into.
I even forgot compass/map. Mirror for signaling. You can probably do without mirror if you got the mylar bags. The list just goes on
If you got bug-out bag that can fit in shoe-box for 6 day wilderness trip I'd really really like to know what you got in there and what buddies are carrying for duplicates.