Explanation Given: Base side of pyramid, a = 756 ft Height of pyramid, h = 481 ft Average size of limestone = 1.5 ft 3 Formula used: Volume of pyramid = 1 3 a 2 h Calculation: Part a: Comparison of pyramid height with length of football ground Height of pyramid = 481 ft Length of football ground = 100 yards = 300 ft Height of the pyramid Length of the football field = 481 ft 300 ft = 1.60 The height of the pyramid is 1.6 times the length of the football field. Part b: Volume of pyramid V o l u m e o f p y r a m i d = 1 3 a 2 h = 1 3 ( 756 ft ) 2 × ( 481 ft ) = 91636272 f t 3 91636272 f t 3 3 3 = 3393936 y a r d 3 Part c: No of limestone blocksin pyramid Volume of 1 limestone = 1.5 yard 3 No of limestone required = Volume of pyramid Volume of 1 limestone = 3393936 1.5 = 2262624 Part d: Time required building pyramid and comparing the studies done on that. No of limestone required = 2262624 Time required for placing all the limestone = 2.5 × 2262624 = 5656560 minutes = 94276 hours Since only 12 hours are working per day, no of days = 94276 12 = 7856...

15th Edition

ISBN: 9781269927116

Author: Bennett

Publisher: PEARSON

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Chapter 10.B, Problem 97E

To determine

To compare:

(a)The height of Pyramid of Khufu with the length of football ground of 100 yards.

(b)To determine the volume of pyramid in ft3 and yard3.

(c) To determine how many lime stone blocks of 1.5 yard3 are used to construct the pyramid.

(d) To determine the time taken to construct the pyramid

(e) Compare the volume of Eiffel tower and Khufu pyramid.

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Chapter 10.B, Problem 96E

Chapter 10.B, Problem 98E

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