PYQ Vault

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.

  1. Question 1

    2021 Paper 21

    72
    A box open from top is made from a rectangular sheet of dimension a×ba \times b by cutting squares each of side xx from each of the four corners and folding up the flaps. If the volume of the box is maximum, then xx is equal to:

    Tap an option to check your answer.

  2. Question 2

    10 Apr 2023

    64
    A square piece of tin of side 30 cm30\text{ }cm 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 cm2cm^{2} ) is equal to

    Tap an option to check your answer.