The figure below shows a cubical box that has been constructed from uniform metal plate of negligible thickness. The box is open at the top and has edge length L = 27 cm. Find the coordinates of the center of mass of the box.

____x coordinate
____y coordinate
____z coordinate

Question

The figure below shows a cubical box that has been constructed from uniform metal plate of negligible thickness. The box is open at the top and has edge length L = 27 cm. Find the coordinates of the center of mass of the box.

____x coordinate
____y coordinate
____z coordinate

anonymous · Answer

attachment

anonymous · Answer

because it's a cubical box, all edges are the same length.
therefore, the center of mass is the midpoint of each edge.

anonymous · Answer

but it has no top. I'm having trouble finding z. 
I know x and y are 13.5 but z its telling me the answer is different

anonymous · Answer

oh i see. my first thought then is to take a physics approach then. because the bottom adds mass to the box, so the center of mass should actually be less than 13.5

anonymous · Answer

ok thanks. i think i got it now...and this is a physics based question lol