Glasses, tubes and tennis balls | | 162 views | home | Dutch version | |
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![]() Dutch Mathematics Day Contest 2016 (age group 15 years old) | Glasses, tubes and tennis balls It is not always immediately clear what form can hold the most volume. Sometimes it appears that one glass can hold much more water than another, but then it shows that this is actually not the case! So you cannot completely trust your instinct in estimating what can hold more volume. The first assignment investigates this aspect. The second assignment: A sheet of A4 paper can be rolled along the length and be made into a tube, but this can also be done along the width. Which results in the largest volume? When taking a rectangle with different measurements than A4, does the same apply? Find the correlation between the sides of a rectangle and the most volume, write down the result of your research. Final assignment: Design a paper packaging with as little paper as possible, packaging ten tennis balls as efficiently as possible. The less space used the better! ![]() ![]() |
Dutch Mathematics Day Contest During the Dutch Mathematics Day Contest students work in teams of about 3 to 4 members on an open mathematical problem solving task during a couple of hours. The product of this work is a report (and sometimes a presentation). ![]() Dutch Mathematics Day Contest |
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Online learning objects from the Freudenthal Institute (Utrecht University) |