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Problem of the Week
Problem B
These Lakes Are Better Than Good

The table below shows data related to the five Great Lakes, which span the border between Canada and United States.

Lake Area (\(\text{miles}^2\)) Area (\(\text{km}^2\)) Volume (\(\text{miles}^3\)) Volume (\(\text{km}^3\))
Superior \(31\,700\) \(82\,100\) \(2900\) \(12\,070\)
Michigan \(22\,410\) \(58\,030\) \(1180\) \(4930\)
Huron \(23\,010\) \(59\,590\) \(840\) \(3520\)
Erie \(9910\) \(25\,667\) \(117\) \(488\)
Ontario \(7320\) \(18\,970\) \(391\) \(1631\)

  1. Find values for each of the following. Round your answers to two decimal places.

    1. How many times bigger is Lake Superior’s area than Lake Ontario’s?

    2. How many times bigger is Lake Superior’s volume than Lake Erie’s?

    3. What percentage of the total volume of all five lakes does Lake Superior contain?

  2. For the comparisons in part (a), does it matter whether you use the data based in miles, or in kilometres?

  3. What are the mean and the median areas of the Great Lakes in square kilometres?

  4. Discovery: Lake Superior is the second largest lake in the world, by area, and Lake Huron is the fourth largest. Do some research to find the first and third largest lakes (by area). Try to discover some past data to see how their sizes have changed over time.

Theme: Data Management