Stationary Points - Maximum Volume of a Box : ExamSolutions Maths Revision

Revising how to find the maximum volume of a box (optimisation) using stationary points.
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[@josephsimeon6160]

I don't know why this was so enjoyable. Thank you.

[@ExamSolutions_Maths]

+Joseph Simeon Maths can be enjoyable - believe it or not.

[@aneeqkhan8627]

+ExamSolutions kinda peaceful

[@sea5205]

So helpful!

[@ExamSolutions_Maths]

Thank you

[@MightyTorten]

Fantastic video seeing as I've been having trouble with this.

[@navalporcupine2426]

It seems that you only take into account the surface area of the outside walls of the box and not the inside? Why is this?

[@Ikiguyy]

Yeah thats what I thought too

[@vedantdesai9395]

It is mentioned that it is an open box

[@McTommoOG]

Vedant Desai the question he used looked shortened. All my Qs state whether the area given is external or internal

[@himayuh2776]

Thank you so much!!!!

[@MoofPoofFoof]

Thanks for this video, it helped a lot, but I just have one question:
when you're finding the equation for the surface area of the box, I noticed that you only took into account the outsides of the box, because you added each side once. In practical circumstances, wouldn't you include the surface area of the insides of the box as well by doubling each side, so the equation would instead be 486=2(2x^2+2xh+4xh)?

[@bradleywoods3742]

Usually the thickness of the box is negligible

[@vedantdesai9395]

They have mentioned open box in question

[@variszarins]

@@vedantdesai9395 meaning what?

[@vedantdesai9395]

@@variszarins meaning that open side should not be consider

[@variszarins]

@@vedantdesai9395 what difference does it make, open or closed? It makes more sense not to take interior into account when the box is closed

[@kaylakenan6973]

Very helpful. Thank you😊

[@chromosome5250]

Thank you so much sir this helped a lot🙏🙏🙏

[@savinagunaratne1601]

Thank You so much

[@psychologycodes]

thankyou!

[@ASLUHLUHCE]

This question is flawed. What if someone included the interior sides of the box when calculating the surface area, since it is open

[@mr.loooka3684]

Great video
thanks alot

[@ExamSolutions_Maths]

+Mr. Loooka You're welcome

[@everythinglost123]

thank you so much!

[@ExamSolutions_Maths]

everythinglost123 That's okay. I am glad it helped and thanks for using.

[@ayesha7786]

what all volume formulas do you reckon we'll need in the exam?

[@ExamSolutions_Maths]

Volumes of prisms ie (cuboids, cylinders) cones, spheres

[@ayesha7786]

@@ExamSolutions_Maths Thanks!! :)

[@ontheway5792]

But u chose V against X ? Not H ?

[@LiveCustoms]

Will this come up in C1 ? because if it does im screwed lol.

[@ExamSolutions_Maths]

+Rmiah13 C2

[@MirfandaTalks]

ahh this is so long lol

[@ajjaaajajjaj6860]

this is very long

[@jackza8901]

this is hard :/