lo.

Being a general retard, I am having difficulty with my coursework, and the deadline grows ever nearer.

The problem stated is:

I'm not expecting you to do my homework for me, but it would be extremely helpful if you could point me in the right direction.Quote:

An open box is to be made from a sheet of card

Identical squares are cut off the four corners of the card as shown in Figure 1

The card is then folded along the dotted lines to make a box.Code:`____________________`

|_|...............|_|

| . . |

| . . |

| . . |

| . Figure 1 . |

| . . |

| . . |

|_................._|

|_|_______________|_|

The main aim of this activity is to determine the size of the square cut which makes the volume of the box as large as possible for any given rectangular sheet of card.

Part one

For any sized square sheet of card, investigate the size of the cut out square which makes an open box of the largest volume.

Part two

For any sized rectangular sheet of card, investigate the size of the cut out square which makes an open box of the largest volume.

You may do practical work and/or work in symbols.

Your teacher will help you choose the best way of working on the problem

I have done:

I have figured out the formula for working out the volume for the dimensions:

cutoffwidth * (lengthofcard - 2 * cutoffwidth) * (widthofcard - 2 *cutoffwidth)

and I have discussed how to calculate the formula for finding a square piece of cards' optimal cutoff width from it's dimensions, which is:

Optimal Cutoff Width of Square = Square's Width (or length) / 6

being mentally handicapped when it comes to mathematics, I am stuck on the bit which involves working out how to find the optimal cutoff width for a rectangle. The only method I have been able to employ so far is brute force.

Hope at least one of you has understood that.

Furthermore, I hope that person can help.

Thanks in advance.