Answer:
2704 ft³
Step-by-step explanation:
You want the volume of a 13 ft cube topped by a 9 ft high pyramid.
The volume of the pyramid is 1/3 the volume of a cuboid with the same height. That means we can treat it as a rectangular prism of height (9 ft)/3 = 3 ft.
The volume of the figure is then ...
V = LW(H1 +H2)
V = (13 ft)(13 ft)(13 ft + 3 ft) = 2704 ft³
The volume of the figure is 2704 cubic feet.