find the dimensions of the box

Calculus
Tutor: None Selected Time limit: 1 Day

Jul 17th, 2015

Thank you for the opportunity to help you with your question!

let base length be a and height of the box be h

we have a^2 * h = 94 

and we need to minimize suface area for using minimum material

so let A be surface area = a^2 + 4 a h

now replace h in terms of a using first equation. and differentiate then you will get a value for base length

the value of length = width =5.728654 =5.73 inch

and value of height =2.8643=2.86 inch

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 17th, 2015

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