Optimization

Question 1

How do you get the largest area of a rectangle possible when you are given a fixed perimeter?

Answer 1

Make the dimensions of a square

Question 2

How do you get the smallest surface area possible of a square based prism when you’re given a fixed volume?

Answer 2

Make the prisim a cube

Question 3

How do you get the largest volume possible of a square based prism when you’re given a fixed surface area?

Answer 3

Make the prism a cube

Question 4

How do you get the largest possible volume of a cyclinder when you are given the surface area?

Answer 4

Make the height equal to the diameter

Question 5

How do you get the smallest surface area possible for a cylinder with a fixed volume?

Answer 5

Make the height equal to the diameter