Calculus › Optimisation problems › Boxes of maximum volume
Corner squares for maximum box volume
High school · ●●○○○ 20 pts
An open-top box is made from a square sheet of metal with sides of 20 cm by cutting equal squares from the corners and folding up the sides. Find the side length (in cm) of the square cut from each corner so that the volume of the box is maximised. Round to two decimal places.