Answer:
The length is no more than 56 inches.
The volume of the box is 8064 cubic inches.
Step-by-step explanation:
Given : A postal service requires that any box sent by priority mail have length plus girth (distance around) totaling no more than 104 in. One volume that meets this condition is contained by a box with a square end 12 in. on each side.
To find : What is the length of the box? What is the volume?
Solution :
A square end 12 inch on each side.
Then the girth of the box is given by,
The girth of the box is 48 inches.
A postal service requires that any box sent by priority mail have length plus girth (distance around) totaling no more than 104 in.
So,
The length is no more than 56 inches.
The maximum volume of such a box would be,
B = area of the base (or end) of the box,
So,
The volume is
Therefore, The volume of the box is 8064 cubic inches.