Which of the following pairs of base and height produces the greatest area? All measurements are in centimeters.
2 answers:
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Answer:
Maximum Volume = 29,659.5 cubic inches
Step-by-step explanation:
We can write the perimeter as 2*(x+h) and this is equal to 117
So
The volume is
Plugging the expression for h, we have:
The max volume can be found when this differentiated is equal to 0, or dV/dx=0
x can't be 0, so we take x = 39
and thus h=58.5-x = 58.5-39=19.5
Max Volume =