This is a check-in on the concept of isotropy defined above. A little octagonal

Question

This is a check-in on the concept of isotropy defined above. A little octagonal prism is suspended in a vat of liquid as shown ("prism" means that the octagon extends out of and into the paper without changing size or shape). The lengths of the horizontal, vertical, and diagonal sides are the same, since it is an octagon. Another student tells you that the force on the diagonal faces is times the force on the horizontal faces. Discuss whether you agree or disagree, and explain Do not worry about the variation of pressure with depth (this is the same as saying, "assume the size of the octagon is much smaller than its depth below the surface").

Explanation / Answer

Isotropy is uniformity in all directions. So if it is being said that the force on the object varies with the orientation of the object then this doesn't work well with the definition of isotropy hence this cannot happen. The force on all the faces will be uniformally distributed that will have the same forces.

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