Woodworking Plans

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the 1 last update 2020/07/07 AskedAsked
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Here''s requirements.

I have a few issues with it, but mainly I don''14 at for 1 last update 2020/07/07 22:15I have a few issues with it, but mainly I don''14 at 22:15

user147263
asked Nov 24 ''14 at 20:02
  • $\begingroup$ @Sumo so...with regards to length width and height, what is less than or equal 112 inches? Woodworking Planshow to Woodworking Plans for the 1 last update 2020/07/07 $\endgroup$$\endgroup$ – Adam R Nov 24 ''14 at 20:05
  • $\begingroup$ @willjagy oh, I see. Since $P=4s$, then $4s<112$. Thanks! Woodworking Planshow to Woodworking Plans for $\endgroup$ – Adam R Nov 24 ''14 at 20:11
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    $\begingroup$

    Let us say we have a box. We know that the volume is $l \cdot w \cdot h$.We know that we are trying to optimize this problem with the constraint that $2 w+2 h+l$ is $112$. We know that the base is a square so the volume is now $l^2 h$. We also happen to know that $w=h$. So we have $4w+l=112$. We can isolate the constraint as such: $l=112-4w$. We then get this cubic $(112-4w)^2 \cdot w$. I am sure that you can do the rest.

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