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For The Mathematically Inclined

Anil Saigal
09/25/2019

Problem 1:
What is the area of the largest ellipse that can be completely inside a rectangle of 40 by 60 meters.

Problem 2:
What is the area of the smallest ellipse that can completely inscribe a rectangle of 40 by 60 meters.

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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-092619 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani. 

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com. 

If you need clarification on any problem, please contact anil@lokvani.com. 

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Problems 09/12/19

Problem 1:
The base of a perpendicular triangular prism is a right triangle with legs 4.5 cm and 6 cm long. What is the surface of the prism, if its volume is 54 cubic centimeters?

Problem 2:
The regular quadrangular prism has a base edge a = 7.1 cm and side edge = 18.2 cm long. What is the ratio of its volume to surface area.




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