Asked by Anonymous
An open topped taking tin with a volume of 864 cm is to be constructed with a square base and vertical sides. Find the least amount of tin plate required.
Answers
Answered by
Steve
if the base has side x and the tin has height y, then
x^2 y = 864
y = 864/x^2
The surface area a is
a = x^2 + 4xy = x^2 + 4x(864/x^2)
= x^2 + 3456/x
da/dx = 2x - 3456/x^2
= (2x^3-3456)/x^2
da/dx=0 when x=12.
Now find the area.
x^2 y = 864
y = 864/x^2
The surface area a is
a = x^2 + 4xy = x^2 + 4x(864/x^2)
= x^2 + 3456/x
da/dx = 2x - 3456/x^2
= (2x^3-3456)/x^2
da/dx=0 when x=12.
Now find the area.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.