If 10 800 cm2 of material is available to make a box with a square base and an open top find the largest possible volume of the box.

Let

x--------> the length side of the square base of the box

y-------> the height of the box

we know that

The surface area of the box is equal to

so

--------> equation A

the volume of the box is equal to

--------> equation B

Substitute the equation A in the equation B

using a graphing tool

see the attached figure

For

the point is a maximum of the function

Find the dimensions of the box

Find the value of y

The dimensions of the box are

The largest possible volume of the box is

y-y1=4(x-x1)

step-by-step explanation:

this is point-slope form since you only have 4 as the slope it goes in place of m

hope this : )