In an open-wheeled race car competition, a car has a maximum length of 198 inches, a maximum width of 78.7 inches, and a maximum height of 34 inches. when the competition travels to another country for a grand prix, teams must ship their cars. find the volume of the smallest shipping crate needed to ship a car of maximum dimensions.

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

47

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and?

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