Ingram Hanson
08/29/2023 · Junior High School

A rectangular container with open top is required to have a volume of 16 cubic meters. Also, one side of the rectangular base is required to be 4 meters long. If material for the base costs RM8 per square meter, and material for the sides costs RM2 per square meter, find the dimensions of the container so that the cost of material to make it will be a minimum.

UpStudy ThothAI Solution

Tutor-Verified Answer

Quick Answer

The dimensions that minimize the cost are: Length: 4 meters, Width: \( \sqrt{2} \) meters, Height: \( 2\sqrt{2} \) meters.

Step-by-step Solution

Elevate Your Learning
Unlock full answers and more with UpStudy Premium
Get AI Assistant
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic
  • Limited Solutions