A-Level Maths: G3-26 [Optimisation: Maximising Volume of a Box]

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[@Chloe-jt8wy]

thanl you tlmaths oi love you

[@itsak2419]

Hi, towards the end of the question how does the -3✓200/3 being less than 0 mean it is a maximum?

[@TLMaths]

If the 2nd derivative is

[@JK-jf1sj]

Hi there, what would happen if your second derivative showed that the point was a minimum (how do you continue with the question?)

[@TLMaths]

If that happened, you would have to graph the volume function to see what was going on and then identify the highest point of the graph.

[@riaasx]

Hi sir, can you please please make a video on this?@@TLMaths

[@johnsmith-hs8oi]

Would this be something that would come up on an AQA paper?
I got the list of subjects to revise for my next mock and it said "Volume of 3D shapes, max/min volume" Is this video what this is?

[@TLMaths]

Yes this would definitely come up in AQA. That sounds like it's describing the same topic.

[@johnsmith-hs8oi]

@@TLMaths Alright thanks! Quick replies as usual, much appreciated.

[@khaled-ig1hz]

hi sir @2.10 you say to make h subject from SA equation to sub into vol equation to make it in terms of x
could you make x subject and sub that into the vol equation to get that in terms of h and when differentiating its DV/Dh to get max height and sub into vol equation to get max vol is that the same answer ?
also why do you only work out the max for only 1 component do you not need to consider what max value is for both x and h to get max vol why is it you only find max x value to get max vol as surely the height also has an impact on the max vol?
thanks in advance sir

[@TLMaths]

For your first question - have you actually tried doing this? It's going to be SO messy.
For your second question - because of the restrictions we have h as an equation in terms of x (it doesn't depend on anything else), so we only need to work with the one variable.

[@khaled-ig1hz]

@@TLMaths THANK YOU !

[@mujtabaali4277]

What does the G3-26 mean / stand for

[@TLMaths]

The G3 refers to a particular section of the A-Level Maths specification. The 26 is the number video in that section

[@TLMaths]

You can navigate all the videos through my website sites.google.com/view/tlmaths/home/a-level-maths/full-a-level