Trig
posted by Meg .
The postal service places a limit of 84 inches on the combined lenght and girth (distance around) of a package to be sen parcel post. What Dimensions of a rectangular box with square crosssection will contain the largest volume that can be mailed?

Trig 
Steve
4x+y = 84, so
y = 844x
v = x^2 y = x^2(844x) = 84x^2  4x^3
dv/dx = 168x  12x^2
= 12x(14x)
dv/dx=0 when x=14
so the box is 14 x 14 x 28
Respond to this Question
Similar Questions

PreCalc
A rectangular package to be sent by a delivery service can have a maximum combined length and girth (perimeter of a cross section) of 120 inches. a. Show that the volume of the package is V(x)= 4xsquared(30x) b. Use your graphing … 
Math
Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in. Find the dimensions of a rectangular package that has a square cross section and largest volume that may be … 
Math
Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 96 in. Find the dimensions of a rectangular package that has a square cross section and the largest volume that may … 
Calculus  Optimization
A parcel delivery service a package only of the length plus girth (distance around) does not exceed 24 inches. A) Find the dimensions of a rectangular box with square ends that satisfies the delivery service's restriction and has a … 
CALCULUS
1. A rectangular package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum volume that can be sent. (Assume the cross … 
ap calc
The U.S. post office has a limit on the size of packages it will accept for mailing. the length plus the girth (distance around the middle) must be 84 inches or less. find the dimensions of the rectangular package with a square end, … 
Calc
A rectangular package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 90 inches (see figure). Find the dimensions of the package of maximum volume that can be sent. (Assume … 
Math
A postal service says that a rectangular package can have a maximum combined length and girth of 108 inches. The girth of a package is the distance around the perimeter of a face that does not include the length. a. Identify an inequality … 
Maths
The size of a parcel despatched through the post used to be limited by the fact that the sum of its length and girth (perimeter of the cross section) must not exceed 6 feet. What was the volume of the largest parcel of square cross … 
Calculus
The size of a parcel despatched through the post used to be limited by the fact that the sum of its length and girth (perimeter of the cross section) must not exceed 6 feet. What was the volume of the largest parcel of square cross …