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Consider these objects, images for which are given below:
How many do you recognise? Can you put them in order of length? Cross-sectional area? Volume? Once in order, how many of the smaller objects would fit into the larger objects?
Discussion point: What measurement difficulties does this task raise?
You can see the images, some of which contain scale information, below
Arabis voch pollen
Ring stage of Plasmodium falciparum
Human red blood cell
Human nerve cell
The eye of a needle
The URLS of these beautiful images are as follows:
A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?
The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?
Are these estimates of physical quantities accurate?