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

Answer:

The maximum volume of the pyramid is 4,608 cm³.