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| For The Mathematically Inclined |
Anil Saigal
03/30/2010
PROBLEM # 1 Please send your solutions to anil@lokvani.com. ------------------------------------------------------------------------------------------------------------- Problems from 03/18/10 PROBLEM # 1 45. PROBLEM #2 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.
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?
PROBLEM #2
Grandpa:
"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?"
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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.
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