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    Investigating a Maximum Volume The shop keeper says, “When the area of the base is the same as the area of the four sides, the volume of the tray will be a maximum” Investigate this claim. In this coursework I will be investigating whether the shopkeepers claim is correct. I want to find out if the volume of the tray will be a maximum if the area of the base is the same as the area of the four sides. To investigate their claim I will use tables to show my results. I will be investigating

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    How to Get the Maximum Volume From a Cuboid Introduction I am doing an investigation into how get the maximum volume from a cuboid using a square with smaller squares cut out from each corner to then fold it up into a cuboid. Cut out the red squares and fold inwards on the blue lines to get a cuboid. To get the maximum volume from the cuboid you need to work out the sizes of the squares you want to cut out from each corner. The formula I used to work out the volume for each cuboid

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    Swiss Alps about 3,353 metres above sea level and flows north, passing through or bordering Switzerland, Liechtenstein, Austria, Germany, France, and the Netherlands and then its mouth is located at the North Sea. The Rhine is usually at its maximum volume during the seasons of spring and summer; this is due to the fact that there is the melted water of snow and glaciers. In this enquiry I am looking at the aspect of river flooding in the Rhine, particularly in 1995. A river flood is when a river

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    The Open Box Problem

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    cut which makes the volume of the box as large as possible for any given rectangular sheet of card. The problem itself is simple, an open box is made from a sheet of card, identical squares are then cut off each of the four corners, the sheet is then folded to make box. It is my aim to find out the maximum square cut which gives me the maximum volume box. [IMAGE] [IMAGE] [IMAGE] Strategy 1. Try to find the size of cut-out that will give me the maximum volume of a piece of card

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    The Open Box Investigation The aim of this investigation is to find the largest volume within for an open box with any size square cut out I will be increasing the square cut out by 1cm until I reach a point where the volume decreases. At this point I will decrease the square cut out by 0.1cm until I reach the maximum volume. This will be done on several different grids until I see a pattern which I will then use to create a formula. I will record my results in a table for the different

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    Algebra-Investigating Trays Statement: The shopkeeper says, “When the area of the base is the same as the area of the four sides, the volume of the tray will be a maximum.” Aim: To prove the shopkeeper’s statement true. Task: To investigate this claim and investigate further. 18 x 18 I firstly started my trays investigation by drawing a net for a square measured 18cm by 18cm. I then cut out this net square, after it had been cut out I cut off 1cm off each of the four corners. This

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    The Open Box Problem

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    this activity is to determine the size of the square cut out which makes the volume of the box as large as possible for any given rectangular sheet of card. 1. For any sized square sheet of card, investigate the size of the cut out square which makes an open box of the largest volume. 2. For any sized rectangular sheet of card, investigate the size of the cut out square which makes an open box of the largest volume. Question 1 ---------- I began work on question 1, which was to investigate

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    Trays

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    (height) = V (Volume) 16cm x 16cm x 1cm = 256cm3 [IMAGE] L (length) x W (width) x H (height) = V (Volume) 14cm x 14cm x 2cm = 392cm3 [IMAGE] L (length) x W (width) x H (height) = V (Volume) 12cm x 12cm x 3cm = 432cm3 [IMAGE] L (length) x W (width) x H (height) = V (Volume) 10cm x 10cm x 4cm = 400cm3 [IMAGE] L (length) x W (width) x H (height) = V (Volume) 8cm x 8cm x 4cm = 320cm3 L (length) x W (width) x H (height) = V (Volume) 6cm x 6cm

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    50cm, which he uses to make drains. The semi-circle is the best shape for a drain. Prove this. I will prove this by comparing its volume to that of other shapes. On older houses there are semi-circular drains but on newer houses there is fancier ones like pentagon shapes. Is this because they are better or is it simply for design? To find the volume of a 3D object I have to find the area of a cross section and then multiply that by the length of the object. To make it easier IÂ’m going

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    The Open Box Problem

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    dotted lines to make the box. The main aim 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, but first I am going to experiment with a square to make it easier for me to investigate rectangles. I am going to begin by investigating a square with a side length of 10 cm. Using this side length, the maximum whole number I can cut off each corner is 4.9cm, as otherwise I would not have any box left. I am

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