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For almost four millennia, the pyramid of khufu (aka the great pyramid of giza) was the tallest man-made structure in the world, and it remains the only one of the seven wonders of the ancient world that is still essentially intact. This is a square pyramid, with a base side length (l) of 813 feet [ft]. The volume (v) of the pyramid is 2.946×10⁹ liters [l]. The volume (v) of a pyramid with a square base is given by?

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Final answer:

The volume of a pyramid with a square base is calculated using the formula V = (1/3) × l² × height, where l is the length of the base's side.

Step-by-step explanation:

The volume (V) of a pyramid with a square base can be calculated using the formula V = (1/3) × base area × height, where the base area is l² for a square base with side length l. In the case of the Great Pyramid of Giza, with a base side length of 813 feet, you would need to know the height of the pyramid to calculate its volume precisely. The volume given in the question, 2.946×10¹ litres, would be used to determine the pyramid's height if the base side length is already known.

The great pyramids are an engineering marvel and the Great Pyramid of Khufu has enthralled us for millennia as the tallest man-made structure in the world for almost four thousand years. It is indeed a testament to the ingenuity and organization of the Egyptian state during the Old Kingdom.

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