[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-207729-en":3,"doc-seo-207729-105":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},207729,7971461740909,"Levi","https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d",4,"Exam","Full Coverage - Volumes & Surface Area","Practice worksheet covering one representative question type for each GCSE Higher Tier topic related to volumes and surface area. Tasks progress from cuboid volume and packing/box filling, through ratio and fraction volume relationships, algebraic setup, and unknown-length problems using equal volumes. It then extends to cylinder volume, inverse cylinder sizing, trig-based angles within solids, and comparisons between trays and cylindrical containers. Final questions address total surface area for cylinders and composite solids, including accurate-surds dimensions and rounding requirements.","\"Full Coverage\": Volumes & Surface Area  \nThis worksheet is designed to cover one question of each type seen in past papers, for each GCSE Higher Tier topic. This worksheet was automatically generated by the DrFrostMaths Homework Platform: students can practice this set of questions interactively by going to [www.drfrostmaths.com/homework](www.drfrostmaths.com/homework), logging on, Practise → Past Papers/Worksheets (or Library → Past/Past Papers for teachers), and using the ‘Revision’ tab.  \nQuestion 1  \nCategorisation: Determine the volume of a cuboid, and find how many times one cuboid will go into another.  \n[Edexcel GCSE Nov2005-3I Q2b]  \nA carton measures 200 cm by 100 cm by 100 cm.  \nThe carton is to be completely filled with boxes.  \nEach box measures 50 cm by 20 cm by 20 cm.  \nWork out the number of boxes which can completely fill the carton.  \n.......................... boxes  \nQuestion 2  \nCategorisation: Solve cuboid problems involving ratio and fractions of amounts. Know the conversion 1 litre = 1000 cm3  \n[Edexcel GCSE(9-1) Mock Set 3 Autumn 2017 1F Q21, 1H Q2 Edited] The diagram shows a fish tank in the shape of a cuboid.  \nThe dimensions of the tank are 50 cm by 32 cm by 20 cm. The tank is 34 full of water and sand.  \nThe ratio of the volume of water to the volume of sand is 5 : 1 Work out the number of litres of water in the tank.  \n.......................... litres  \nQuestion 3  \nCategorisation: Form an equation based on cuboids with algebraic sides.  \n[Edexcel GCSE Nov2012-2H Q11a Edited] The diagram shows a cube and a cuboid.  \nAll the measurements are in cm.  \nThe volume of the cube is 100 cm3 more than the volume of the cuboid.  \nShow that 􀝔 3 + 􀜽􀝔 = 􀜾 where 􀜽 and 􀜾 are integers to be found.  \n..........................  \nQuestion 4  \nCategorisation: Determine an unknown length using two cuboids ofthe same volume.  \n[Edexcel GCSE June2012-1H Q12] Jane has a carton of orange juice.  \nThe carton is in the shape of a cuboid.  \nThe depth of the orange juice in the carton is 8 cm. Jane closes the carton.  \nThen she turns the carton over so that it stands on the shaded face.  \nWork out the depth, in cm, of the orange juice now.  \n....... ................... cm  \nQuestion 5  \nCategorisation: Use volume in the context of bounds.  \n[Edexcel GCSE(9-1) Mock Set 2 Spring 2017 2H Q17 Edited] The diagram shows Helen’s fish tank.  \nThe fish tank is in the shape of a cuboid.  \nAll the dimensions are correct to the nearest centimetre.  \nHelen is going to use a bucket to fill the fish tank completely with water. There are 14 litres, correct to the nearest litre, of water in a full bucket.  \nWhat's the maximum number of buckets required to fill the tank?  \nGive your answer correct to 1 decimal place.  \n.......................... buckets (1dp)  \nQuestion 6  \nCategorisation: Determine the surface area of a cuboid.  \n[Edexcel GCSE(9-1) Mock Set 2 Spring 2017 3F Q19a, 3H Q3a] A sofa has 6 identical cushions.  \nEach cushion is a cuboid 18 cm by 80 cm by 95 cm.  \nThe cushions are covered with a protective spray. The protective spray is in cans.  \nThe label on each can has this information.  \n(a) Work out how many cans are needed to cover the 6 cushions with protective spray.  \n.......................... cans  \nQuestion 7  \nCategorisation: Determine the volume of a cylinder.  \n[Edexcel IGCSE Jan2012-3H Q3]  \nA cylinder has a diameter of 15 cm and a height of 26 cm.  \nWork out the volume of the cylinder. Give your answer correct to 3 significant figures.  \n.......................... 􀜿􀝉3  \nQuestion 8  \nCategorisation: Use the volume of a cylinder to determine either its radius or height.  \n[Edexcel GCSE Nov2013-2H Q24]  \nThe diagram shows a large tin of pet food in the shape of a cylinder.  \nThe large tin has a radius of 6.5 cm and a height of 11.5 cm.  \nA pet food company wants to make a new size of tin.  \nThe new tin will have a radius of 5.8 cm. It will have the same volume as the large tin. Calculate the height of the new tin. G","cbCaiswvy8PfZtBQ","https://ap.wps.com/l/cbCaiswvy8PfZtBQ","pdf",1370481,1,24,"English","en",105,"# Full Coverage\n## Volumes & Surface Area\n## Question 1: Cuboid volume and containment\n## Question 2: Ratio and fractions with cuboids\n## Question 3: Algebraic equation from cuboids\n## Question 4: Unknown length from equal-volume cuboids\n## Question 5: Volume contexts with bounds\n## Question 6: Surface area of a cuboid-based composite (cushions)\n## Question 7: Volume of a cylinder\n## Question 8: Cylinder volume to find radius or height\n## Question 9: Trigonometry in volumes of solids\n## Question 10: Compare volumes of cylinders and cuboids\n## Question 11: Total surface area of a cylinder\n## Question 12: Surface area of composite solids (cube and cylinder)\n## Question 13: Surface area with surd lengths in a cylinder","[{\"question\":\"What math topics does this worksheet focus on?\",\"answer\":\"It focuses on volumes and surface area for cuboids and cylinders, including ratios, fractions, algebraic setup, and surface area calculations for composite solids.\"},{\"question\":\"How does the worksheet practice GCSE Higher Tier question styles?\",\"answer\":\"It provides one question per type seen in past papers for each GCSE Higher Tier topic, allowing interactive practice via the DrFrostMaths Homework Platform.\"},{\"question\":\"What kinds of rounding or accuracy instructions appear in the questions?\",\"answer\":\"Questions commonly specify answers to decimal places, significant figures, or nearest degrees, depending on the problem context.\"}]","Full Coverage - 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