Answer:
320 cubic centimeters
Step-by-step explanation:
The formula for the volume of a prism with base area B and height h is ...
V = Bh
The formula for the volume of a pyramid or cone with base area B and height h is ...
V = (1/3)Bh
That is, a pyramid or cone with the same base area and height as a prism will have 1/3 the volume.
1/3 · 960 cm³ = 320 cm³ . . . . the volume of your pyramid
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Comment on the volume formulas
You will note that the shape of the base is irrelevant. For the 1/3 factor to apply, all that matters is that the sides of it come linearly to a point at the height h. That is, the dimensions of a cross section parallel to the base are proportional to the distance from the peak to the cross section.
