Quandaries
and Queries 

Can you please tell me if the volume and surface area of a prism can ever be the same? Could you please explain why or why not. Thanks so much! Melissa 

Hi Melissa, This is strange question  with some interesting possibilities:  if we are in 'science' and 'measurement' then we watch the 'units':  if we just look at the numbers (not the units) then the answer is certainly. Consider the impact of scaling. If I have an initial object, with volume V and surface area S, then scaling everything up by 2, I have volume 8 V and surface area 4 S. They do not change at the same rate! If I scale by k, then we have k^{3} V and k^{2} S. Of course, if you switch your unit of measurement (e.g. from cm to m) this 'equality' will vanish and you will need to scale the object up to match the new units! Walter Whiteley 

