Question

an open rectangular box is to be constructed from a piece of cardboard, by cutting squares of length x from each corner and folding up the sides.
a= 25 cm
b= 46 cm
what is the maximum volume of such a box ?

Answer 1

again?

Answer 2

oh maybe it wasn't you the first time

Answer 3

no , it was my friend

Answer 4

any ideas on how to do it ?

Answer 5

volume is
\[v(x)=x(25-2x)(46-2x)=4 x^3-142 x^2+1150 x\]
derivative is
\[v'(x)=12 x^2-284 x+1150\] set = 0 and solve to get
\[x = \frac{71-\sqrt{1591}}{6}\]

Answer 6

probably want the decimal
it is about 5.19

Answer 7

if it is not clear let me know

Answer 8

thanks a lot , very clear now

Answer 9

yw