First Problem,The Open Box Problem

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In this investigation, I will be investigating the maximum volume, which can be made from a certain size square piece of card, with different size sections cut from their corners. The types of cubes I will be using are all open topped boxes.

The size sections that I will be cutting from the square piece of card will all be the same size. The section sizes will go up to half of the original size of card. I will only go up to this size, because it is physically impossible to cut square sections, with sides over half the length of the original shape.

During this investigation, I will not account for the ‘tabs’, which would normally be needed to hold the box sides together.

I predict that when the size of the square I cut out is very small, the volume of the box will also be very small. Secondaly, I predict that when the size of the square I cut out is almost half the size of the square I start with, then the volume of the box would be very small aswell. Thirdly, I predict that as the size of the square I cut out increases, then the volume of the box will increase to a maximum and then decrease again.

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1cm by 1cm, piece of square card.


2cm by 2cm, piece of square card


3cm by 3cm, piece of square card


4cm by 4cm, piece of square card


5cm by 5cm, piece of square card


6cm by 6cm, piece of square card

I have finished doing all of my table of results and graphs, now I will try ...

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