Answered: A pyramid has a height of 488 ft and…

An Introduction to Physical Science

14th Edition

ISBN:9781305079137

Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Chapter1: Measurement

Section: Chapter Questions

Problem 16E: The Hoover Dam Bridge connecting Arizona and Nevada opened in October 2010 ( Fig. 1.18). It is the...

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A) A pyramid has a height of 488 ft and its base covers an area of 10.0 acres. The volume of a pyramid is given by the expression: V=1/3Bh, where B is the area of the base and h is the height. Find the volume of the pyramid in cubic meters. (1 acre = 43,560ft^2).

B) What If? If the height of the pyramid were increased to 525 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase?

Expert Solution

Step 1

Volume of pyramid:

$V = \frac{1}{3} (a r e a o f b a s e \times h e i g h t) V = \frac{1}{3} (10 a c r e a) (\frac{43560 f t^{2}}{1 a c r e}) (488 f t) V = 70.85 \times 10^{- 7} f t^{3}$

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