Respuesta :

DeanR

Well, it's not clear if the snowman scales by getting taller but no wider or deeper, or scales in all three linear dimensions, or something more like the BMI scale where weight scales in proportion to the square of linear dimension.


The weight of the snow is proportional to the volume. Let's assume the snowman scales in all three dimensions so we use the third power.


[tex]W = 100 \times \left(\dfrac{36}{30}\right)^3 = 100(\frac 6 5)^3 = 172.8 \textrm{ tons of snow}[/tex]