Geometry A rectangular package to be sent by a delivery service (see figure) has a combined length and girth (perimeter of a cross section) of 120 inches. (a) Use the diagram to write the volume V of the package as a function of x . (b) Use a graphing utility to graph the function and approximate the dimensions of the package that yield a maximum volume. (c) Find values of x such that V = 13 , 500 . Which of these values is a physical impossibility in the construction of the package? Explain.
Geometry A rectangular package to be sent by a delivery service (see figure) has a combined length and girth (perimeter of a cross section) of 120 inches. (a) Use the diagram to write the volume V of the package as a function of x . (b) Use a graphing utility to graph the function and approximate the dimensions of the package that yield a maximum volume. (c) Find values of x such that V = 13 , 500 . Which of these values is a physical impossibility in the construction of the package? Explain.
Solution Summary: The author analyzes the volume of a cuboid with dimensions l,w,h as length, width, and height respectively.
Geometry A rectangular package to be sent by a delivery service (see figure) has a combined length and girth (perimeter of a cross section) of 120 inches.
(a) Use the diagram to write the volume
V
of the package as a function of
x
.
(b) Use a graphing utility to graph the function and approximate the dimensions of the package that yield a maximum volume.
(c) Find values of
x
such that
V
=
13
,
500
. Which of these values is a physical impossibility in the construction of the package? Explain.
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY