Optimization problem

[cosmic]

Hi guys,

I'm looking at an open box optimization problem. I need to determine what the side lengths of the squares should be to give a box of maximum volume. Asked to give an exact answer as a surd (in m) and also an answer to the nearest cm. The formula for the volume V (in m³) of the box is V= 4x³-6x²+2x.

I got the answer 1/2-sqrt(3)/6 m or 21 cm (to the nearest cm). Is this the correct answer? If not would really appreciate if someone could point me in the right direction.

Thanks in advance.

 

[Quaid]

Hi cosmic:

If symbol x represents the squares' side length, then your answer is correct.

Cheers

 

[cosmic]

Hi cosmic:

If symbol x represents the squares' side length, then your answer is correct.

Cheers

Thanks Quaid, appreciate it.