Solution Found!
Changing dimensions in a rectangular box Suppose that the
Chapter 3, Problem 22E(choose chapter or problem)
Problem 22E
Changing dimensions in a rectangular box Suppose that the edge lengths x, y, and z of a closed rectangular box are changing at the following rates:
Find the rates at which the box’s (a) volume, (b) surface area, and (c) diagonal lengthare changing at the instant when x = 4, y = 3, and z = 2.
Questions & Answers
QUESTION:
Problem 22E
Changing dimensions in a rectangular box Suppose that the edge lengths x, y, and z of a closed rectangular box are changing at the following rates:
Find the rates at which the box’s (a) volume, (b) surface area, and (c) diagonal lengthare changing at the instant when x = 4, y = 3, and z = 2.
ANSWER:
Solution
Step 1 of 3
In this problem we have to find the changing volume, surface area, and the diagonal length of the closed rectangular box.
Given that
And diagonal length are changing at the instant when x = 4, y = 3, and z = 2.
(a) In this problem shows
volume
Changing volume is
.’. The changing volume of the box is .