Answer :

Answer:

  2704 ft³

Step-by-step explanation:

You want the volume of a 13 ft cube topped by a 9 ft high pyramid.

Volume

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.

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