One 18 inch pizza has more 'pizza' than two 12 inch pizzas
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Re: One 18 inch pizza has more 'pizza' than two 12 inch pizzas
#2Another way to think about it: It's because 1.5 > √2.
To exactly double the area of a figure, scale any linear dimension up by √2. If you scale by more than that, you'll more than double the area.
Re: One 18 inch pizza has more 'pizza' than two 12 inch pizzas
#3For area, the change in size is the square of the old:new ratio.
Two dimensions, so X * X
For volume, the change in size is the cube of the old:new ratio.
Three dimensions, so X * X * X