(a)
To write an equation that gives height (h) in terms of length (s).
Given information:
Formula used: Rationalization
Calculation:
Solve for
Multiplying by
Hence,
(b)
Find the dimensions length (s) and height (h) that minimize the amount of material used
Minimum volume is
From the hint with part(a), we know that
But the volume is given as 24
Therefore
In Hint with sub-part(b) it is given that
Substitute the value of
Graph is shown below:
From the above graph we can see that the minimum volume is
Minimum volume is
Chapter 5 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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