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Euclid proved that the volume of a pyramid equals 
,
where 
is the area of its base, and 
its height. A pyramidal tent without tent-poles is erected by blowing air into it
under pressure. The area of the base is easy to measure accurately, because the base is nailed down, but the height fluctuates somewhat and is hard to measure accurately. If the amount of
uncertainty in the measured height is plus or minus 
, find the
amount of possible error 
in the volume.
,
where is the area of its base, and its height. A pyramidal tent without tent-poles is erected by blowing air into it
under pressure. The area of the base is easy to measure accurately, because the base is nailed down, but the height fluctuates somewhat and is hard to measure accurately. If the amount of
uncertainty in the measured height is plus or minus , find the
amount of possible error in the volume.
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