A rectangular box without a lid is to be made from 27𝑚2 of cardboard. Find the maximum volume of such a box

plz tell the answer if u know

[Nikhil Sapre]

You know the sum of area of 5 sides of the rectangular (square) box. You can find the side of the box and then the volume. This is a simple MATH problem.

But for MATLAB code, you have to try something out and then ask specific questins here about the problems you run into with your code.

Thanks,

Nikhil

[Rohan P]

tq for the reply bro i know the solution ibut i dont know the matlab code and the due is today

[DGM]

This is a typical calculus 1 problem. You can do this as your course intends or approach it graphically to build your expectations/intuition. There are plenty of examples of solving this the intended way. The obvious thing to recognize is that for volume to be maximized for a fixed surface area, the bottom of the box must be square. This reduces the problem to a simple 1D maximization task. Express the volume as a function of area and width (or area and height). Treat the chosen dimension as the independent variable, and find the width (or height) at which the slope of V = 0. Back calculate to find the volume and remaining dimensions.