The
TV show QI is a marvellous source of trivia. A while back I heard them say that Sainsbury's is shrinking the size of the tube through the centre of toilet rolls to save volume, and hence the number of delivery lorry trips needed. A quick Google
confirms that this is the case: the diameter of the roll has fallen from 123mm to 112mm, whilst keeping the amount of paper the same. (I hope no
makers were relying on the constant diameter of the correspondingly shrinking tube for any long term projects.)
This (123112)/123 = 10.91 = 9% reduction in diameter doesn't look much for a single roll:

123mm v 112mm, to scale overlaid for comparison 
However, once you get a lot of rolls, the saving soon adds up:

the difference is clear with 40 rolls 
Assuming that the height of the rolls is the same, the 9% reduction in diameter corresponds to a 10.91
^{2} = 10.83 = 17% reduction in volume. Hence more rolls can be packed in each delivery lorry, with a claimed saving of 500 lorry trips, or 140 tonnes of CO
_{2}, per year.
But we could do better, surely? I've shown the rolls on a square grid, because that's how they are packed:
But what about a hexagonal packing?

smaller rolls, and now hexagonally packed 
Now each roll occupies a hexagon of halfheight
r, not a square of halfheight
r:

square boundary hexagonal boundary equilateral triangle 
What space does this take? The hexagon is made of 6 equilateral triangles, each of height r. If the side is of length h, then we have
r =
h sin 60 =
h √3 / 2. The area of the triangle = 1/2
x base
x perpendicular height =
h/2
x r =
r^{2} / √3. The area of the hexagon is 6 times this, or 2√3
r^{2 } = 3.464
r^{2}. The square, meanwhile, has area 4
r^{2}. (And not coincidentally, 3.464 is a better approximation to π than is 4.) Hence hexagonal packing is (4  3.464)/4 = 0.134, or a little over 13%, better than square packing.
Doing the sums to combine the percentages properly [viz, 1(117%)(113%)=0.28], this means hexagonal packing
and smaller rolls combined gives about 28% improvement over the original large, square packed rolls.
So Sainsbury's could save a
further 300odd lorry trips, and a further 90 tonnes CO
_{2}, by packing the rolls hexagonally.
Maybe I should write them a letter?
UPDATE (19 Jan 2014)
A commenter queried the correctness of the QI calculations. I just so happen to have an old and new roll size cardboard tube. Here's the difference:

the smaller tube has a diameter of ~35mm, the larger a diameter of ~50mm; also the cardboard is much flimsier in the smaller tube 
So although the exact dimensions quoted may not be quite right, they are pretty close!