When sending a parcel internationally, Australian Post stipulates that the length plus the girth
must not exceed 2m. (Note - the girth of a parcel is the perimeter of its cross section).
A particular parcel has a square cross section, and its (length + girth) is 2m exactly.
(a) Show that the volume, V, of this parcel is given by V = x(2 - x)^2 / 16
(b) Find the maximum volume of a parcel of this shape.
must not exceed 2m. (Note - the girth of a parcel is the perimeter of its cross section).
A particular parcel has a square cross section, and its (length + girth) is 2m exactly.
(a) Show that the volume, V, of this parcel is given by V = x(2 - x)^2 / 16
(b) Find the maximum volume of a parcel of this shape.