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For The Mathematically Inclined

Anil Saigal
09/09/2019

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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Please send your solutions anil@lokvani.com. 

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Problems 08/29/19

Problem 1:
What is the length d of the chord circle of diameter 36 m, if the distance from the center circle is 16 m?

Problem 2:
The base of pool is circle with a radius r = 10 m excluding circular segment that determines chord length 10 meters (See image on side). Pool depth is h = 2m. How many liters of water can fit into the pool?





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