Take a 2'x2' 1" thick piece of foam. Laminate some fiberglass onto both sides of it. This is basically how modern boat hulls are constructed. Extremely light, rigid, insulated and durable.
WAG, but if it would allow you to replace 1 ton of foam on a 40' yacht, that's one ton of extra cargo/amenities you could carry instead and maintain the same water line. Or alternatively you could produce a faster boat with less wetted area.
I'm sure a real engineer has a better idea of practical applications. But I like cruising yachts so. :-)
Plus, foam provides displacement in case of breaches as a matter of it's nature. This lattice wouldn't provide any displacement, so a small breach would mean you're 2" thick composite hull would fill with water, which would be bad.
[1] https://en.wikipedia.org/wiki/Boeing_X-53_Active_Aeroelastic...
maybe fuel tanks shells? having the tank collapse as it's used instead of being filled with vapors would also reduce flammability in general.