3. Volume of an egg
Method 1:Experiment of Archimedes
First, you have to fill a beaker with water and note the
level. Then, you put the egg inside and compare the
level to the one without the egg. The difference is the
egg‘s volume. Eureka!
V=π*r²*h
We got:
V=28,09 cm³
4. Volume of an egg
• Method 2: approximation by a sphere:
3 3
V r r
cm
25,08 ³
2,2
4
V
cm
5. Volume of an egg
Method 3:Experiment with egg slices
First, cut your egg into
slices, then calculate the
volume with this formula.
V= π*r²*h
Our solution is 36.84 cm³
6. Volume of an egg
• Method 4: by using a formula
2
2
V
a b
2,2 3
3
4
3
4
V cm
34,21 ³
V
h
b=h/2
a
7. We compare: volume of an egg
Method1: 28,09 cm³
Method 2: 25,08 cm³
Method 3: 36,08 cm³
Method 4: 34,21 cm³
We have to say that could not use the same
eggs, but we tried to use some of similar
size.
8. We compare: volume of an egg
There are a lot of ways to approximate the
volume. The easiest would be the
Archimedes‘ experiment, the most
laborious is the experiment with egg slices
To conclude: You can find the most
difficult formulas, but at last, you‘ll end up
rounding your results anyway.
9. Offical egg sizes
• Small eggs: mean 51 g (<53g)
• Medium eggs: mean 59,43g (53g -62,9g)
• Large eggs mean: 65,45g (63g-72,9g)
• Extra large eggs: Ø 73,99g (73g)
What about the percentage of a L-egg in
comparision to a M-egg? It is about 10% more.
10. Specific weight of an XL-egg
G = 54,7g
V = 50,6cm³
(via formula)
=
퐺
푉
=
54,7
50,6
= 1,081
specific weight/ density of our egg
Specific weight Ø = 1, 08
11. Geometry of an egg
Construction with circle and compass.
It is an egg tangram.
12. Tangram pics of an egg
Work for the international team Spain
by Henrike Rabe
21. The weight of Lindor eggs
1. We weighted the eggs from
the Lindor company
2. We compared it to the
reported weight
3. Wait… The weighted mass
isn’t the same as the
reported one!
With 6,2 g this egg is one of the biggest! But …
22. Easter eggs of Lindt company
So most of the egg will be between 4,78 g
and 5,11 g.
We thought of testing more packages and
eggs.
Would we get some testing eggs from the
Lindt company?
25. Sold out!
The Lindt company could not send us some
more Lindor packages for testing, no more
easter eggs, all sold out, ….
That‘s why it was after eastern and so we
bought the four last packages in a super-market
in Unna but nevertheless …
26. … an early end of our statistics
with Lindt eggs
Unfortunately, we were‘t able to work
more with the Lindt eggs, because they
somehow disappeared - maybe it was a
mouse …
27. Math tasks about eggs
1. A record egg
The biggest egg was laid by the `elephant-bird´on
Madagaskar. One egg has a volume of 9l. This is like
150 chicken eggs or like 8 eggs from an ostrich.
Which volume does a chicken and ostrich egg have?
28. Math tasks about eggs
2. Kiwi egg
The biggest eggs in comparison to their height the
Kiwi from New Zealand. One egg usually weights
1
5
of the Kiwis weight.
One Kiwi weights about 1,5 to 2kg
How much weights one egg?
Big Kiwi-eggs weight up to 450g .
How much does the Kiwi weight?
29. Math tasks about eggs
3. Eggs with surprise
The jeweller Carl Farbergé has built some gold
eggs for his tsar. In every egg was a little surprise.
For example a copy from the tsar-coach.
The coach was 9,3 cm long and it was built in the
scale 1:75.
How big was its original ?
30. Sources
Specific weight – information about the average s.w. :
http://www.zeno.org/Meyers-1905/A/Ei
Geometry of an egg – picture:
http://www.dynamatadmin.oriw.eu/upload_pdf/20121022_154322__6.pdf
Das Ei-Projekt, Klett, Mathe Live
http://www.klett.de/sixcms/media.php/185/allerlei_rechnerei.pdf
