What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 24 cm ?

       A square pyramid with the maximum volume that can fit inside a cube has a same base as a cube ( 24 cm x 24 cm ) . The height of the pyramid is also same as a side length of a cube ( h = 24 cm ).
      The volume of the pyramid:
      V = 1/3 · 24² · 24 = 1/3 · 576 · 24 = 4,608 cm³
     
      The maximum volume of the pyramid is 4,608 cm³. 

The answer here would be 10

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