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For The Mathematically Inclined

Anil Saigal

A block of wood in the form of a cuboid 3" × 7" × 12" has all its six faces painted pink. If the wooden block is cut into 252 cubes of 1" × 1" × 1", how many of these would have pink paint on them?

"My grandson is about as many days as my son is weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years?"


Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-040110 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.

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Problems from 03/18/10


There is a number that is 5 times the sum of its digits. What is this number?




I have a miniature Pyramid of Egypt. It is 4 inches in height. I was invited to display it at an exhibition. I felt it was too small and decided to build a scaled-up model of the Pyramid out of material whose density is (1 / 4) times the density of the material used for the miniature. I did a "back-of-the-envelope" calculation to check whether the model would be big enough.

If the mass (or weight) of the miniature and the scaled-up model are to be the same, how many inches in height will be the scaled-up Pyramid? Give your answer to two places of decimal.


6.35 in.

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