10 Nov 2021
Problem 14
Page 306
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
10 Nov 2021
Given information
A rectangular storage container with an open top is to have a volume of . The length of its base is twice the width. Material for the base costs per square meter. Material for the sides costs per square meter.
Step-by-step explanation
Step 1.
Let and be the length and width of the base, and be the height.
According to the question, the rectangular storage container with an open top is to have volume of with length of its base is twice the width.
Length
Volume of open box
Substitute the values in above equation, we get
Let and be the length and width of the base, and be the height of cuboid.
The lateral surface area of cuboid