Question

The volume of a box is given by V=1-w-h. If a box has a height of X, width of (4-2x) and length of (11-2x), what is the maximum volume the box can have,

to the nearest whole number

Answer 1

Answer: 3.5 or rounded to 4

Explanation:

`h=x\\width=(4-2x)\\length=(11-2x)`

`V=1-w-h`

`V=1-(4-2x)-(11-2x)\\V=1-4+2x-11+2x\\V=4x-14\\0=4x-14\\4x=14\\(4x)/(4) =(14)/(4) \\x=(7)/(2) =3.5,\ rounded=4`