[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-207850-en":3,"doc-seo-207850-105":30,"detail-sidebar-cat-0-en-105":90},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":4,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":27,"seo_description":14,"update_tm":28,"read_time":29},207850,13056712833777,"Paura","https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0",4,"Exam","Student calculation sheet P6.1 - Density calculations","Student calculation sheet focused on density, using two worked examples and a set of practice questions to build algebraic equation skills. Learners apply the density relationship between mass and volume, convert units across g/kg and litres/millilitres/cm3, and substitute numerical values with correct units. Activities include calculating density from given mass and volume, finding volume from dimensions, rearranging formulas, and evaluating scenarios such as identifying materials and predicting sinking or floating behavior.","Student calculation sheet P6.1  \nName   Class   Date    \n Density  \nSpecification references:  \n􀁸 P3 .1.1 Density of materials  \n􀁸 M1a, M1b, M2a, M3b, M3c, M5c  \nAims  \nIn this sheet, you will work through two worked examples designed to allow you to improve your maths skills. The focus is on solving algebraic equations, by substituting numbers into the equation and rearranging if needed. The algebraic  \nequation is the formula for density.  \nLearning outcomes  \nAfter completing this activity, you should be able to:  \n􀁸 determine the volume of rectangular shapes  \n􀁸 convert between g and kg  \n􀁸 convert between litres, millilitres and cm3  \n􀁸 apply the relationship between density, mass, and volume  \n􀁸 substitute numerical values into algebraic equations using appropriate units  \n􀁸 solve algebraic equations.  \nWorked examples  \n1 A student pours out 1 litre of a liquid and finds its mass is 0.7 kg. Calculate the density of the liquid.  \nStep 1: Write down what you know  \nVolume 􀀠 1 litre, Mass 􀀠 0.7 kg, density 􀀠 ?  \nStep 2: Convert your units (either into g and cm3 or kg and m3)  \nVolume 􀀠 1 litre 􀀠 1000 ml (1 litre 􀀠 1000 ml)  \nVolume 􀀠 1000 cm3 (1 ml 􀀠 1 cm3 )  \nMass 􀀠 0.7 kg 􀀠 700 g (1 kg 􀀠 1000 g)  \nStep 3: Write the numbers into the equation and calculate  \nDensity (g/cm3 ) 􀀠 vomasslume~~ ~~(m)~~ ~~3~~ ~~) 􀀠 1700~~000~~ 􀀠 0.7 g/cm3  \n© Oxford University Press 2016 [www.oxfordsecondary.co.uk/acknowledgements](www.oxfordsecondary.co.uk/acknowledgements)  \nThis resource sheet may have been changed from the original. 1  \nStudent calculation sheet P6.1  \n\n| Name   Class   | Date   |\n| --- | --- |\n| 2 A block of wood has a density of 0.8 g/cm3. The block measures\u003Cbr>30 cm 􀁵 10 cm 􀁵 10 cm. Calculate the mass of the block of wood in kg.\u003Cbr>Step 1: Write down what you know\u003Cbr>Density 􀀠 0.8 g/cm3 , length 􀀠 30 cm, depth 􀀠 10 cm, height 􀀠 10 cm, mass 􀀠 ?\u003Cbr>Step 2: Convert your units (either into g and cm3 or kg and m3)\u003Cbr>Not needed but you do need to find volume in this question.\u003Cbr>Step 3: Calculate the volume\u003Cbr>Volume 􀀠 30 􀁵 10 􀁵 10 􀀠 3000 cm3 (volume 􀀠 length 􀁵 depth 􀁵 height)\u003Cbr>Step 4: Write the numbers into the equation\u003Cbr>Density (g/cm3 ) 􀀠 vomaslumse~~ ~~(m)~~ ~~3~~ ~~) 0.8 􀀠 m~~3~~s~~0~~\u003Cbr>This time the question wants you to calculate the mass. Mass is not the subject of the formula.\u003Cbr>Step 5: Rearrange the equation so that mass is the subject of the formula\u003Cbr>Multiply both sides of the equation by 3000 0.8 × 3000 = mass\u003Cbr>2400 g 􀀠 mass\u003Cbr>Mass in kg 􀀠 2.4 kg (1 kg 􀀠 1000 g)\u003Cbr>Questions\u003Cbr>1 Convert the following to cm3 a 100 ml\u003Cbr>b 2 litres | ( 1)\u003Cbr>( 1) |\n\n© Oxford University Press 2016 [www.oxfordsecondary.co.uk/acknowledgements](www.oxfordsecondary.co.uk/acknowledgements)  \nThis resource sheet may have been changed from the original. 2  \nStudent calculation sheet P6.1  \n\n| Name   Class   Date   |  |\n| --- | --- |\n| 2 A tennis ball has a volume of 150 cm3 and mass of 58 g. Calculate the density of the tennis ball. State the units.\u003Cbr>3 An ice cube has the dimensions 3 cm 􀁵 2 cm 􀁵 2 cm. The mass of the ice cube is 10.8 g. Calculate the density of ice.\u003Cbr>4 A miner finds a sample of rock and is convinced it contains gold. He looks up the density of gold and discovers gold has a density of 19 g/cm3 , whilst‘fool’s gold’ has a density of 5 g/cm3. The mass of his sample is 5.5 kg and the volume of water displaced by it is 300 cm3.\u003Cbr>a Calculate the density of the sample in g/cm3.\u003Cbr>b Discuss whether you think the miner had found gold or fool’s gold. Explain your answer.\u003Cbr>5 Molten iron has a density of 7.0 g/cm3. In its solid state, iron has a density of 8.0 g/cm3.\u003Cbr>a Calculate the volume of 10 kg of molten iron.\u003Cbr>b Calculate the volume of 10 kg of solid iron. | (3)\u003Cbr>(3)\u003Cbr>(2)\u003Cbr>(2)\u003Cbr>(3)\u003Cbr>(3) |\n\n© Oxford University Press 2016 [www.oxfordsecondary.co.uk/acknowledgements](www.oxfordsecondary.co.uk/acknowledgements)  \nThis resource sheet may have been changed from the original. 3  \nStudent calculation sh","cbCaiu4WNUAXjVnc","https://ap.wps.com/l/cbCaiu4WNUAXjVnc","pdf",88726,1,6,"English","en",105,"# Aims\n# Learning outcomes\n# Worked examples\n## Example 1: Liquid density from mass and volume\n## Example 2: Mass of a block from density and dimensions\n# Questions\n## Conversions to cm3\n## Density of objects and solids\n## Interpreting density to identify materials\n## Volume calculations for molten and solid iron\n## Fish tank and floating hollow ball\n# Answers","[{\"question\":\"What formula links density, mass, and volume in these calculations?\",\"answer\":\"Density is calculated from mass divided by volume, written in the sheet as density = mass / volume (with consistent units).\"},{\"question\":\"How should units be converted before substituting into the density equation?\",\"answer\":\"Convert between g and kg and between litres, millilitres, and cm3 so that the mass and volume use matching units (for example, kg to g and litres to cm3).\"},{\"question\":\"What steps help solve density problems that need rearranging?\",\"answer\":\"First write what is known, then convert units, substitute values into the density equation, and rearrange the formula so the required quantity (such as mass or volume) becomes the subject.\"}]","Student calculation sheet P6.1 - Density calculations | PDF",1788601428,15,{"code":4,"msg":31,"data":32},"ok",{"site_id":24,"language":23,"slug":33,"title":13,"keywords":34,"description":14,"schema_data":35,"social_meta":85,"head_meta":87,"extra_data":89,"updated_unix":28},"student-calculation-sheet-p61-density-calculations","",{"@graph":36,"@context":84},[37,53,67],{"@type":38,"itemListElement":39},"BreadcrumbList",[40,44,48,51],{"item":41,"name":42,"@type":43,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":45,"name":46,"@type":43,"position":47},"https://docshare.wps.com/document/","Document",2,{"item":49,"name":12,"@type":43,"position":50},"https://docshare.wps.com/document/exam/",3,{"item":52,"name":13,"@type":43,"position":11},"https://docshare.wps.com/document/student-calculation-sheet-p61-density-calculations/207850/",{"url":52,"name":13,"@type":54,"author":55,"headline":13,"publisher":57,"fileFormat":60,"inLanguage":23,"description":14,"dateModified":61,"datePublished":61,"encodingFormat":60,"isAccessibleForFree":62,"interactionStatistic":63},"DigitalDocument",{"name":9,"@type":56},"Person",{"url":41,"name":58,"@type":59},"DocShare","Organization","application/pdf","2026-09-05",true,{"@type":64,"interactionType":65,"userInteractionCount":4},"InteractionCounter",{"@type":66},"ViewAction",{"@type":68,"mainEntity":69},"FAQPage",[70,76,80],{"name":71,"@type":72,"acceptedAnswer":73},"What formula links density, mass, and volume in these calculations?","Question",{"text":74,"@type":75},"Density is calculated from mass divided by volume, written in the sheet as density = mass / volume (with consistent units).","Answer",{"name":77,"@type":72,"acceptedAnswer":78},"How should units be converted before substituting into the density equation?",{"text":79,"@type":75},"Convert between g and kg and between litres, millilitres, and cm3 so that the mass and volume use matching units (for example, kg to g and litres to cm3).",{"name":81,"@type":72,"acceptedAnswer":82},"What steps help solve density problems that need rearranging?",{"text":83,"@type":75},"First write what is known, then convert units, substitute values into the density equation, and rearrange the formula so the required quantity (such as mass or volume) becomes the subject.","https://schema.org",{"og:url":52,"og:type":86,"og:title":13,"og:site_name":58,"og:description":14},"article",{"robots":88,"canonical":52},"index,follow",{"doc_id":7,"site_id":24},{"code":4,"msg":5,"data":91},[92,96,100,103,108,112,117,122,127,130,134],{"id":20,"doc_module":4,"doc_module_name":46,"category_name":93,"show_sort_weight":94,"slug":95},"Story & Novel",90,"story-novel",{"id":47,"doc_module":4,"doc_module_name":46,"category_name":97,"show_sort_weight":98,"slug":99},"Literature",80,"literature",{"id":11,"doc_module":4,"doc_module_name":46,"category_name":12,"show_sort_weight":101,"slug":102},70,"exam",{"id":104,"doc_module":4,"doc_module_name":46,"category_name":105,"show_sort_weight":106,"slug":107},5,"Comic",60,"comic",{"id":21,"doc_module":4,"doc_module_name":46,"category_name":109,"show_sort_weight":110,"slug":111},"Technology",50,"technology",{"id":113,"doc_module":4,"doc_module_name":46,"category_name":114,"show_sort_weight":115,"slug":116},7,"Healthcare",40,"healthcare",{"id":118,"doc_module":4,"doc_module_name":46,"category_name":119,"show_sort_weight":120,"slug":121},8,"Research & Report",30,"research-report",{"id":123,"doc_module":4,"doc_module_name":46,"category_name":124,"show_sort_weight":125,"slug":126},9,"Religion & Spirituality",20,"religion-spirituality",{"id":125,"doc_module":4,"doc_module_name":46,"category_name":128,"show_sort_weight":125,"slug":129},"World Cup","world-cup",{"id":131,"doc_module":4,"doc_module_name":46,"category_name":132,"show_sort_weight":131,"slug":133},10,"Lifestyle","lifestyle",{"id":135,"doc_module":4,"doc_module_name":46,"category_name":136,"show_sort_weight":104,"slug":137},19,"General","general"]