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For The Mathematically Inclined

Anil Saigal

Problem 1:
Jay produces cubes from special type of clay. He needs 27g of clay to create a cube of edge 3cm.  How many grams of clay is needed to create 5 cubes of edge 6cm.

Problem 2:
What is the  the volume of a regular octagonal pyramid with height v = 100 and the angle of the side edge with the plane of the base is α = 60°?


Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-02/13/20 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. 


Problems 01/30/20

Problem 1:
A cake contains milk, yeast, sugar, and flour in a ratio of 20: 1: 4: 15 by weight.  How may pounds of sugar is needed to make a 5 pound cake?

Problem 2:
While baking a cake in a oven water evaporates at the rate of 1% of the current weight per minute.   If you place 5 pounds of cake mixture in an oven, what is the weight of cake baked after 30 minutes. 

Congratulation to Nilesh Agrawal, Ramachandran Balakrishna and Kishore Balsara, who were the winners of the last set of puzzles.

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