Pythagoras 3D
Find how far the ladder can be extended from the one corner of the room to the other corner?
Find how far the ladder can be extended from the one corner of the room to the other corner?
Great Pyramids
Three of the great Egyptian pyramids are pictured below. Each is a square pyramid.
Three of the great Egyptian pyramids are pictured below. Each is a square pyramid.
Calculate the missing information for each the 3 individual pyramids based on the given measurements:
1) The great Pyramid of Menkaure has a height of about \(215\) feet and a base side length of about \(339\) feet. What is its volume?
2) The great Pyramid of Khafre has a volume of about \(74,400,000\) cubic feet and a base side length of \(706\) feet. What is its height?
3) The great Pyramid of Khufu has a volume of about \(86,700,000\) cubic feet and a height of \(455\) feet. What is the length of its base?
4) The Great Pyramid of Khufu once stood \(26\) feet taller than it is today. Calculate the original volume of the Great Pyramid. Similarly, the Pyramid of Khafre has eroded over time and lost some of its height. If the original volume of the pyramid was approximately \(78,300,000\) cubic feet, what was its original height?
1) The great Pyramid of Menkaure has a height of about \(215\) feet and a base side length of about \(339\) feet. What is its volume?
2) The great Pyramid of Khafre has a volume of about \(74,400,000\) cubic feet and a base side length of \(706\) feet. What is its height?
3) The great Pyramid of Khufu has a volume of about \(86,700,000\) cubic feet and a height of \(455\) feet. What is the length of its base?
4) The Great Pyramid of Khufu once stood \(26\) feet taller than it is today. Calculate the original volume of the Great Pyramid. Similarly, the Pyramid of Khafre has eroded over time and lost some of its height. If the original volume of the pyramid was approximately \(78,300,000\) cubic feet, what was its original height?