Open box from a sheet by cutting corner squares: maximum volume
This type of question, asked 2 times: 2021 Paper 21, 10 Apr 2023. All 2 questions below, oldest first.
Try each one first, then open its answer.
Question 1
2021 Paper 21
72A box open from top is made from a rectangular sheet of dimension by cutting squares each of side from each of the four corners and folding up the flaps. If the volume of the box is maximum, then is equal to:Tap an option to check your answer.
Question 2
10 Apr 2023
64A square piece of tin of side is to be made into a box without top by cutting a square from each corner and folding up the flaps to form a box. If the volume of the box is maximum, then its surface area (in ) is equal toTap an option to check your answer.