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Question

what is answer

Answer 1

The 3 by 4 arrangement uses less cardboard.

The surface area of the packaging is given by 2(LW+LH+WH) where L=length, W=width, H=height.

For both arrangements of cans H=12cm.

For 3×4, L=4×6=24cm, W=3×6=18cm; for 2×6, L=6×6=36cm, W=2×6=12cm.

To make it easier, we can work in units of 6cm, so, 24cm=4 units, 18cm=3 units, 12cm=2 units:

For 3×4: area=2(4×3+4×2+3×2)=2(12+8+6)=2(26);

for 2×6: area=2(6×2+6×2+2×2)=2(12+12+4)=2(28).

So since 26 square units is less than 28, the 3×4 arrangement has cheaper packaging.