nple
If a pyramid has a square base with side lengths and height h, which
formula represents the volume of the pyramid?
Since the base of the pyramid is a square, the area of the base is
Abase = SXS = 5².
The volume of a pyramid is one-third the product of base area and
height, so the volume of this pyramid is
Key Term
Cavalieri's principle is applicable to all three-dimensional shapes, including
and
Cavalieri's principle implies that a tilted cone (or pyramid) has exactly the same
as an upright cone (or pyramid) with same base and
height.
The formulas for the volumes of a cone and a pyramid are applicable even if their shapes are not upright.
Summary
What is the relationship between the volume of a rectangular prism and a pyramid with the same base area
and height?
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