An open box is to be made from a ft by ft rectangular piece of sheet metal by cutting out squares of equal size from the four corners and bending up the sides. Find the maximum volume that the box can have.

432 cm

Step-by-step explanation:

The volume of the box can be determine by using derivative function:

V = (18 - 2x) (18 - 2x) x

dV/dx = 4x^3 + 324 + 144x

equating to zero;

(x - 9) (x - 3) = 0

x = 9 , 3

putting the values in the equation;

V = (18 - 2 [3]) (18 - 2[3]) 3

volume = 432.

0.84 dang lotta people are looking for this lol or if you round up its 1 but the overall answer to that is 0.84

step-by-step explanation: