A storage box with a square base must have a volume of 80 cubic centimeters. The top and bottom cost $0.40 per square centimeter and the sides cost $0.20 per square centimeter. Find the dimensions that will minimize cost. (Let x represent the length of the sides of the square base and let y represent the height. Round your answers to two decimal places.) cm

Question

How do you answer the question in the attached image?

A storage box with a square base must have a volume of 80 cubic centimeters. The top and bottom cost $0.40 per square centimeter and the sides cost $0.20 per square centimeter. Find the dimensions that will minimize cost. (Let x represent the length of the sides of the square base and let y represent the
height. Round your answers to two decimal places.)
cm

Image Transcription

A storage box with a square base must have a volume of 80 cubic centimeters. The top and bottom cost $0.40 per square centimeter and the sides cost $0.20 per square centimeter. Find the dimensions that will minimize cost. (Let x represent the length of the sides of the square base and let y represent the height. Round your answers to two decimal places.) cm

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus