The Open Box Problem

Mathematics GCSE The Open Box Problem Tiers F, I and H Introduction 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. Figure 1: The card is then folded along the dotted lines to make the box. The main aim of 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. . 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 the correct cut out size to satisfy the largest possible volume of the open box on any sized square piece of card. I started by using a square piece of card measuring 10 x 10. To work out the volume for the open box with the variable being 'x' I made a formula to help: V=x(l-2x)(l-2x) Here are my results: size of cut out 'x' (cm) volume (cm³) 64 2 72 3 48 4 6 The highest volume is 72cm³ with a cut out size of 2cm. I found that the highest volume must have a cut out size of between 1 and 2cm so I tried the formula for cut out sizes between 1 and 2cm: size of cut out 'x'

  • Word count: 2232
  • Level: GCSE
  • Subject: Maths
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Jack the Ripper

Jack the Ripper Study Source A What can you learn from Source A about the murders of Martha Tabram and Polly Nicholls? (6marks) Source a suggests that the murders of Martha Tabram and Polly Nicholls were brutal and callous. Source A also gives the impression that the women were prostitutes and that the murders were not committed in order to steal from them. As well as this Source A implies that London had not seen murders this horrid previously, as it refers to London being shocked. Moreover, the article also alleges that a psychopath committed the murders, because he vigorously abused the bodies, after he killed the women. The newspaper wanted to emphasise how brutal the murders were. I think that this article has been exaggerated and has sensationalised the case. Sources A, B and C Does the evidence of source C support the evidence of sources A and B about the Ripper murders? Explain your answer. (8marks) The evidence of Source C vaguely supports the evidence of source A because there is some relation into how the murders were violent and cruel. However, the two sources contrast greatly. Firstly, Source A is aimed at the middle-classed public, which means that it may have been written to entertain or with intention to pull in readers. Contrastly, Source C is a report for investigators; it is about the injuries caused to Elizabeth Stride. Source C is a detailed report

  • Word count: 1964
  • Level: GCSE
  • Subject: History
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What is customer service?

P4 What is customer service? Customer service is when an organisation will provide the customers with a service that is friendly and making the customers feel at home. By the organisation delivering this they will be able to gain and build their customer base and when they achieve this they will have to maintain and keep these customers because without the customers they will not be able to survive in the market. When it comes down to customer service it involves three different stages which are pre, during and post transactional. Pre Before the customers buy the product there are many things which are done so that when the customer does come they will be provided with a excellent customer service. An example of this is employees getting training before they start working with British airways. With any job that is face to face with the customers, the organisation will always provide the employee with a handbook which will include details on what they expect from they employee and how to sort out situations if the occur. In relation to BA they will always send out their employee on training so that when they are working for BA they will know what to do and how to do it also the flights attendants will be trained so that they a will know what to do in an emergency and before lift off they will explain what the passengers will need to do in an emergency. During During

  • Word count: 2049
  • Level: AS and A Level
  • Subject: Business Studies
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Mis amigos

Mis amigos Un amigo bueno es alguien que tiene realmente interés en tú y es un amigo fiel. Mi amiga Tanja está en esa manera un amiga muy buena y es mi amiga íntima. Yo la encontré cuando yo empecé en la escuela de MR y nos vinculamos del primer día. Hemos sido amigas por casi tres años y yo esperan que nosotros siempre seremos mejores amigas. Tanja es muy alta y delgada y ella tiene el pelo rubio muy largo y los ojos azules. Creo que ella es sensible y que tiene buen humor. Tanja quiere ropas muy de moda y ella siempre es vestida muy elegante. Cuándo ella sale conmigo y nuestros amigos que ella es vestida muy atractiva y va siempre en un zapato de tacón. Tengo también muchos amigos que no son fieles y por lo tanto yo no les puedo decir todo. Aunque ellos no sean fieles que ellos son muy divertidos. Yo tengo un amigo que he sabido desde que tenía cuatro años. Su nombre es Halla y yo la adoro mucho. Ella es mi amiga histórica, amiga del alma y mi amiga de confianza porque yo la puedo confiar para secretos. Tengo muchos amigos en mi clase que son muy divertidos pero yo no hablo con ellos fuera del clase. Este amigo yo llamo mi amigos circunstancial. Pienso que es muy importante tener muchos a amigos porque si tú no tienes ningún amigos ni sólo amigos que no son fieles que tú obtendrás muy solitario. Los amigos buenos hacen la vida más fácil y mucho

  • Word count: 269
  • Level: GCSE
  • Subject: Modern Foreign Languages
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PERNOD RICARD: STRATEGIE DE DEVELOPPEMENT INTERNATIONAL DES ENTREPRISES

UFR DE DROIT, SCIENCES ECONOMIQUES ET DE GESTION MASTER 2 MENTION " MANAGEMENT " SPECIALITE " MANAGEMENT DES AFFAIRES INTERNATIONALES " STRATEGIE DE DEVELOPPEMENT INTERNATIONAL DES ENTREPRISES Année 2010/2011 : Examen Semestre Présenté oralement le 2 novembre 2010 par Mickael DUCHEMIN, Jojo NICKAM, Gaël OFIALA, Aurélia POUMAROUX Enseignant : François PANTIN STRATEGIE INTERNATIONALE DU GROUPE PERNOD RICARD INTRODUCTION 3 I. Présentation de l'entreprise 3 A. Nom de l'entreprise 3 B. Historique 3 C. Chiffres clés 4 D. Organisation managériale de l'entreprise 4 II. Analyse stratégique du groupe Pernod Ricard 5 A. Analyse SWOT : Analyse de l'entreprise (interne) et de son environnement (externe) 5 B. Analyse de l'environnement concurrentiel du marché des vins et spiritueux 7 III. Développement stratégique du groupe Pernod Ricard 9 A. Recentrage stratégique du groupe Pernod Ricard 9 B. Spécialisation: Choix de la stratégie générique 10 C. Structure organisationnelle du groupe Pernod Ricard 11 IV. Politique stratégique du groupe à l'international 12 A. Développement du groupe à l'international 12 B. Les marchés étrangers visés et ses modalités de pénétration 15 C. La politique internationale du produit 17 CONCLUSION 21 Introduction Né du rapprochement de Ricard et Pernod en 1975, Pernod Ricard s'est développé

  • Word count: 6871
  • Level: University Degree
  • Subject: Business and Administrative studies
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Unit 23: Investigating Communications and Networks

Introduction I intend to carry out my case study using my own knowledge and also gaining research from the internet and books from the library. I have provided some research on communications systems and network systems before I began my tasks. I obtained information about these from the internet and books from the Beauchamp library. Communication system: an assembly of equipment that allows data to be transferred between two or more places. Network systems: Below is a chart to show the speeds of technology and how good the connection speeds are for communication. This information was obtained from The Chart Technology Speed Wireless Range Support Cost Ethernet 10/100 00Mbs A A A A 802.11b 1Mbps Y B A B 802.11a 52/72 Mbps Y C B C Phone Line 2.0 0Mbps N A B B Gigabit Ethernet 000Mbps N A D D 802.11g 22/54Mbps Y C N/A N/A Firewire 400Mbps N D C A Blue tooth .5Mbps Y D C C Homer 2.0 0Mbps Y B C C Power Line 4Mbps N A C C Chart Explanation - D is poor or inappropriate, A is best Range: In terms of a home network, will it cover the whole house? A D means short distances; an A means almost any home would be covered without additional equipment. Support: In terms of industry support for home networking ranging from drivers for different OS's, the availability of bridges and routers, and the support the

  • Word count: 6539
  • Level: GCSE
  • Subject: ICT
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The South African Breweries (SAB) has been operating since 1895 and holds 98% of the market share in the South African beer market.

Introduction The South African Breweries (SAB) has been operating since 1895 and holds 98% of the market share in the South African beer market. South African Breweries Vision statement states: "To be ranked amongst the top three brewers in any country in the world, by any key measure." Their mission statement says: "To be a leading brewer, manufacturer and marketer of fine quality beers and other long alcoholic drinks in a socially responsible and progressive manner." Graham Mackay, group chief executive of South African Breweries, has developed a strategic management strategy by encompassing the vision and mission statements into his plans for SAB's future. Mackay is trying to move SAB from a more diversified South African conglomerate to a more focused global beer company. Included in SAB's portfolio is a careful balance of long-established, well-known brands such as its flagship Castle Lager. This accounts for over 50% of SAB's sales. Other major brands include Carling Black Label, Hansa Pilsener and Lion Lager. Both Castle Lager and Lion Lager have been established brands in South Africa since the beginning of the 20th century. Amstel, which is brewed and sold under license from Heineken by SAB in South Africa, is the premium brand leader in South Africa. Heineken completes the premium brand portfolio. By the end of 1999, SAB had become the fourth-largest brewer in

  • Word count: 6753
  • Level: University Degree
  • Subject: Business and Administrative studies
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The USA Was Prohibition bound To Fail?

The USA Was Prohibition bound To Fail? (A) Sources A and B From studying source A and B your first impression of the texts is that the sources agrees with the initial idea of prohibition, by displaying information concerning the factors of alcohol being banned, such as at the beginning of source A "by 1917 twenty three states had already introduced a ban on alcohol." From first reading the source you would immediately get the impression that if twenty three states had already banned alcohol there must be a plausible reason for there actions because that's almost half of the American states who decided to put a ban on alcohol Some of the first states to become dry in the USA were the southern states. Most of them were actually dry by 1914. These states were often very racist and banning alcohol was another form of them taking freedoms away from black people. They said, "...it was a way of keeping the Negro in his place." Both sources lead to some of the reasons why twenty-three states could of even considered the banning of alcohol. Initially the banning of alcohol was given momentum in World War I as many young men were away fighting against Germany. Apart from the fact that alcohol was believed to make them ill, it was argued that soldiers were getting drunk and were not able to fire straight. Prohibition was therefore said to be patriotic and would help the war effort

  • Word count: 6383
  • Level: GCSE
  • Subject: History
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Historique Gillette

I- Historique L'histoire de Gillette remonte à l'année 1891. C'est grâce au Canadien d'origine Française King Camp Gillette que fut inventé le premier rasoir à lame jetable, baptisé rasoir de sûreté, composé d'une lame jetable très fine et à double tranchant insérée dans un support. C'est seulement 10 ans plus tard, en 1901, à Boston que Gillette crée la société Gillette Safety Razor Company. Les débuts de l'entreprise fut modestes. En 1903, elle vend seulement 51 rasoirs et 168 lames. Mais en 1904, l'entreprise dépose un brevet et Gillette vend 250 000 rasoirs et deux millions de lames aux États-Unis. Son succès s'étend rapidement à l'étranger. Gillette implante sa première usine étrangère à Paris, en 1905, puis au Canada, en Allemagne et en Angleterre. Au cours de la Première Guerre mondiale, l'armée américaine lui commande 3,5 millions de rasoirs et 36 millions de lames. Le rasoir devient le compagnon du soldat. Non seulement pour l'hygiène des soldats qui restent des mois interminables dans les tranchées, mais aussi parce qu'une peau sans barbe permet une meilleure tenue des masques à gaz. Dès 1955, le groupe décide de se diversifier et démarre une politique d'investissement dans le secteur du stylo, avec l'achat de Paper Mate, puis Waterman et Liquid Paper. Le groupe possède également des entreprises telles que Braun

  • Word count: 295
  • Level: University Degree
  • Subject: Linguistics, Classics and related subjects
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The fencing problem.

Maths Coursework I am going to carry out this investigation. I have realised that I must investigate the following shapes: * Squares * Rectangles * Triangles * Circles * Parallelograms * Polygons * Hexagons My interpretation of the question: "There is ONLY 1000m of fence, and therefore she needs to have a perimeter of 1000m, however this shape must have the biggest possible area". Square Perimeter = 1000m Therefore Side = 250m Therefore Area = 62500m2 There is only one type of square with the perimeter of 1000m, thus this has the maximum area of 62500m2. Rectangles L (m) W (m) Perimeter (m) Area (m2) 00 400 000 40000 200 300 000 60000 50 350 000 52500 25 375 000 46875 250 250 000 62500 The graph shows how as the length increases the area increases, and there it shows the maximum area for a rectangle of perimeter 1000m. The rectangle with sides 200m and 300m produce a perimeter of 1000m and an area of 62500m2. However, this area does not beat that of the square which therefore means the square is the best shape so far. Triangles There are three types of triangles: Iscosolies Equilateral Scalene There are also three different ways of calculating the area of a triangle: . area = 1/2 base x perpendicular height 2. area = 1/2 ab sin c 3. area = square root of ( s(s-a)(s-b)(s-c)) Equilateral Triangle Side = 333.3

  • Word count: 274
  • Level: GCSE
  • Subject: Maths
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