Having trouble with a center of mass problem

[Syrus]

Homework Statement

See the attachment below. The solution is stated to be number 4 (option a). I am having trouble understanding this. It seems that a majority of the sculpture's mass (in terms of its y-component) is well below the vertical component of point 4, and hence should lower the CM from where 4 is. I know the question asks for the "most likely" choice, but 3 seems more appropriate, no?

Homework Equations

The Attempt at a Solution

 

[AJ Bentley]

I agree. It's a very bad question. None of those points are anywhere near where I would expect the CoM.

You can prove the point by making a model out of card.

 

[CWatters]

Can't possibly be "4" for the reason you state. I'm not convinced 2 or 3 is right either as too much area above those points.

 

[haruspex]

I'd put it about half way between 3 and 4. Very sloppily constructed question.