centimetres
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To find the mass of a shoe, you would need a scale, in order to measure the weight of the shoe first. Its mass will then be m = weight / g where g is the gravitational acceleration 9.8 m/s2.
A shoe is only slightly larger than the foot that uses the shoe.
That depends on the dimensions of the shoe box, now doesn't it? It's the product of the three dimensions.
That is a rectangular solid.
77.5 ft by 77.5 ft, about a fifth of a foot ball field (but that would be ~150 feet by 40 feet)