Asked by Anom
An open top box with a square base is to have a volume of exactly 500 cubic inches. Find the dimensions of the box that can be made with the smallest amount of materials.
Answers
Answered by
Reiny
your turn to do this one
I will get you going ...
base: x by x
height : y
V = x^2 y
500 = x^2 y
y = 500/x^2
SA = base + 4 sides
= x^2 + 4xy
plug in y from above
differentiate
set that equal to zero and solve
I will get you going ...
base: x by x
height : y
V = x^2 y
500 = x^2 y
y = 500/x^2
SA = base + 4 sides
= x^2 + 4xy
plug in y from above
differentiate
set that equal to zero and solve
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