Showing posts with label Rectangular Prism and Cylinder. Show all posts
Showing posts with label Rectangular Prism and Cylinder. Show all posts

Friday, April 3, 2009

Count Up the Snow

Sally lives on a farm that covers ten square miles (a mile is 5,280 ft). On Christmas Day, it snows steadily from morning till night. How could Sally estimate how many snowflakes fell on her farm on Christmas day.

Monday, February 23, 2009

Volume of Earth

How many cubic feet of earth are there in a hole measuring 3 feet wide by 4 feet long by 5 feet deep?

Saturday, February 21, 2009

Punch Bowl

This puzzle may not seem similar, at first. But the solution is similar. You are next to the punch bowl, at a party. You happen to have two glasses, one holds five units (cups, cubic centimeters, whatever), and the other holds three units. You must get exactly four units of punch (doctor's orders perhaps), by filling glasses (must be all the way) and dumping back into the bowl. How can you do that? The answer is also below. Note: our aim is to have four units in the five unit glass. Every time you fill, transfer, or dump water it counts as one move. The goal is to do it in as little moves as possible.

Cylinder


Problem: We have a cylindrical glass, which can hold 12 ounces of liquid. It is 6 inches tall. It is tipped so that my drink is about to spill out the top. The liquid is 2 inches from the bottom, on the other side (See the diagram). How many ounces of liquid are still in the glass?

Monday, February 16, 2009

The Bookworm

A bookworm (there are many species, including the book louse) has found a tasty ten-volume set of books on a bookshelf. Each book is 5 centimeters thick (pages + 2 covers) and has a cover that is 0.5 centimeters thick. The bookworm begins eating at page one of volume one, and eats to the last page of volume ten, eating through covers and pages. What distance did he travel, during his feast?