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Science-Related Homework Help Pre-calculus and Functions Topic started by: ccnnieeee on Jan 16, 2019



Title: An open box is to be made from a rectangular piece of material 9 in. 12 in. by cutting equal square
Post by: ccnnieeee on Jan 16, 2019
Please see the attachments


Title: Re: An open box is to be made from a rectangular piece of material 9 in. 12 in. by cutting equal sq
Post by: bio_man on Jan 16, 2019
Hi ccnnieeee

Please type out the question (or copy-paste it) next time, would appreciate it a lot! I've answered question (1) underneath.

So, they want the volume. V = l*w*h for a rectangular prism

L = 12 - 2x
W = 9 - 2x
H = x

Substitute into the formula for volume:

f(x) = V = (12 - 2x)(9 - 2x)(x)
f(x) = 4x^3 - 42x^2 + 108x

Attached for clarity:

Also, if you're being asked to maximize, use this video:

https://www.youtube.com/watch?v=gEyWoGU-Hn8