How is the volume of a pyramid found?

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Map of the Greco-Roman world highlighting the birthplaces of notable ancient mathematicians, marked with the pi symbol and labeled with their names. Cities such as Athens, Alexandria, Syracuse, and Miletus are shown around the Mediterranean, with modern country boundaries outlined. An inset provides detail for the region of Greece and western Anatolia. — geometry This map spans a millennium of prominent Greco-Roman mathematicians, from Thales of Miletus (c. 600 bce) to Hypatia of Alexandria (c. 400 ce).

In Euclidean geometry, the volume of a pyramid is determined by calculating one-third of the product of its base area and its height.1

For a pyramid with a rectangular base, the formula is expressed as:

$V = \frac{l w h}{3}$

Where:
* $l$ : length of the base
* $w$ : width of the base
* $h$ : height of the pyramid2

While this formula provides the volume for standard pyramids, it is important to note that for more complex solids, mathematicians often utilize calculus to ensure accurate volume calculations.3