A set of estimates of various physical quantities are shown below. For each estimate, consider the following three questions
Note that you might need to refer to the biological quantitative data for some of the numbers used and you might need to use a calculator.


  1. I wish to estimate the volume of an apple. It weighs 76.2kg. I therefore estimate its volume to be 76.2cm$^3$.
  2. I have a set of ball bearings of volume 1cm$^3$. A large crate is filled to the brim with ball bearings and closed with a lid. The box contains 850 ball bearings, so I estimate that the box has a volume of 850cm$^3$.
  3. An oak tree measures 106cm around the base, corresponding to a cross section of 0.0894m$^3$. I have measured the height to be 7.3m. I estimate the volume to be 0.65m$^3$. How would your answer differ if the question related to a fir tree (with the same numbers)
  4. In a wood of area 27000m$^2$ I find 34 earthworms in a volume of soil of 1m$^2$ in area and 20 cm deep. I therefore estimate that there are 918000 earthworms in the wood.

  1. I wish to estimate the volume of an apple. I weight it and measure 76.2g. I therefore estimate that its volume is 76.2 cm 3 .
  2. I have a set of ball bearings of volume 1cm 3 . A large box is filled to the brim with ball bearings and closed with a lid. The box contains 850 ballbearings, so I estimate that the box has a volume of 850 cm 3 .
  3. An oak tree measures 106 cm around the base, corresponding to a cross section of 0.0894 m 2 . I have measured the height to be 7.3m. I estimate its volume to be 0.65m 3 . How would the results differ if a fir tree exhibited the same dimensions?
  4. In a wood of area 27000m 2 I find 62 woodlice in an area of 1 m2 . T

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