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It summarizes area and circumference/perimeter formulas for basic 2D shapes including circles, triangles, rectangles, trapezoids, parallelograms, and squares. It also lists volume and surface area expressions for 3D figures such as rectangular prisms, triangular prisms, cones, cylinders, and spheres. The sheet includes the Pythagorean Theorem and standard unit conversion tables for length, volume, and weight/mass, plus notes like using 3.14.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/mathematics-grade-7-and-grade-8-reference-sheet/486948/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/mathematics-grade-7-and-grade-8-reference-sheet/486948.png","ImageObject",300,407,{"name":92,"@type":93},"Mimi","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What formulas are included for 2D shapes in this reference sheet?","Question",{"text":112,"@type":113},"It lists area and circumference or perimeter formulas for circle, triangle, rectangle, trapezoid, parallelogram, and square.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which 3D shape formulas are provided for volume and surface area?",{"text":117,"@type":113},"It provides volume and surface area relationships for rectangular prisms, triangular prisms, cones, cylinders, and spheres.",{"name":119,"@type":110,"acceptedAnswer":120},"Does the sheet include unit conversions and if so for which measurements?",{"text":121,"@type":113},"Yes. It includes conversion tables for length, volume, and weight/mass, including relationships between yards/feet/inches and meters/centimeters/millimeters, cups/pints/quarts/gallons and liters/milliliters, as well as pounds/ounces/tons and grams/kilograms/milligrams.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},486948,1792833352,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":8,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":81,"preview_page_count":4},2336477974920,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Mathematics Grade 7 and Grade 8 Reference Sheet  \n\n| Shape | Area | Circumference |\n| --- | --- | --- |\n| Circle | 􀜣 = 􀟨􀝎2 | 􀜥 = 􀟨􀝀 = 2􀟨􀝎 |\n| Triangle | 􀜣 = 12 􀜾ℎ | Perimeter |\n| Rectangle | 􀜣 = 􀝈􀝓 | 􀜲 = 2􀝈 + 2􀝓 = 2 (􀝈 + 􀝓) |\n| Trapezoid | 􀜣 = 12 ℎ (􀜾1 + 􀜾2) |  |\n| Parallelogram | 􀜣 = 􀜾ℎ |  |\n| Square | 􀜣 = 􀝏 2 |  |\n\n\n| Key |\n| --- |\n| 􀜾 = base 􀝈 = length ℎ = height 􀝓 = width\u003Cbr>􀜤 = area of base 􀝏 = side length\u003Cbr>􀜪 = height of triangular prism\u003Cbr>􀝏1, 􀝏2, 􀝏3 are the lengths of each side of the triangular base\u003Cbr>􀝀 = diameter 􀝎 = radius |\n| Use 3.14 for 􀟨 . |\n\n\n| 3 – Dimensional Shape | Volume | Surface Area |  |  |\n| --- | --- | --- | --- | --- |\n| Rectangular Prism | 􀜸 = 􀝈􀝓ℎ = 􀜤ℎ | 􀜵􀜣 = 2􀝈􀝓 + 2􀝈ℎ + 2􀝓ℎ = 2􀜤 + 2􀝈􀜾 + 2􀝓ℎ |  |  |\n| Triangular Prism | 1\u003Cbr>􀜸 = 􀝈􀝓ℎ = 􀜤ℎ\u003Cbr>2 | 􀜵􀜣 = 􀜾ℎ + (􀝏1 + 􀝏2 + 􀝏3)􀜪 = 2􀜤 + (􀝏1 + 􀝏2 + 􀝏3)􀜪 |  |  |\n| Cone | 􀜸 = 1 􀟨􀝎2 ℎ 3 |  | Percent Change |  |\n| Cylinder | 􀜸 = 􀟨􀝎2 ℎ |  | 􀯗􀯜􀯙􀯙􀯘􀯥􀯘􀯡􀯖􀯘 􀯜􀯡 􀯔􀯠􀯢􀯨􀯡􀯧\u003Cbr>% change =\u003Cbr>􀯢􀯥􀯜􀯚􀯜􀯡􀯔􀯟 􀯔􀯠􀯢􀯨􀯡􀯧 |  |\n|  |  |  |  |  |\n| Sphere | 􀜸 = 43 􀟨􀝎3 |  |  |  |\n\n\n| Pythagorean Theorem |\n| --- |\n| 􀜿 2 = 􀜽 2 + 􀜾 2 |\n\n\n| Standard Units | Metric Units |\n| --- | --- |\n| Conversions – Length |  |\n| 1 yard (yd) = 3 feet (ft) = 36 inches (in.) | 1 meter (m) = 100 centimeters (cm) |\n| 1 mile (mi) = 1,760 yards (yd) = 5,280 feet (ft) | 1 meter (m) = 1,000 millimeters (mm) |\n|  | 1 kilometer (km) = 1,000 meters (m) |\n| Conversions – Volume |  |\n| 1 cup = 8 fluid ounces (fl oz) | 1 liter (l) = 1,000 milliliters (ml) |\n| 1 pint (pt) = 2 cups | 1 liter (l) = 1,000 cubic centimeters ([cu. cm](cu. cm)) |\n| 1 quart (qt) = 2 pints (pt) |  |\n| 1 gallon (gal.) = 4 quarts (qt) |  |\n| Conversions – Weight/Mass |  |\n| 1 pound (lb) = 16 ounces (oz) | 1 gram (g) = 1,000 milligrams (mg) |\n| 1 ton = 2,000 pounds (lb) | 1 kilogram (kg) = 1,000 grams (g) |","cbCaiduRgMeKi8CS","https://ap.wps.com/l/cbCaiduRgMeKi8CS","pdf",247086,"English","# Geometry Formulas\n## 2D Shapes: Area and Circumference/Perimeter\n## 3D Shapes: Volume and Surface Area\n## Pythagorean Theorem\n# Key Variables and Constants\n# Unit Conversions\n## Length\n## Volume\n## Weight/Mass","[{\"question\":\"What formulas are included for 2D shapes in this reference sheet?\",\"answer\":\"It lists area and circumference or perimeter formulas for circle, triangle, rectangle, trapezoid, parallelogram, and square.\"},{\"question\":\"Which 3D shape formulas are provided for volume and surface area?\",\"answer\":\"It provides volume and surface area relationships for rectangular prisms, triangular prisms, cones, cylinders, and spheres.\"},{\"question\":\"Does the sheet include unit conversions and if so for which measurements?\",\"answer\":\"Yes. It includes conversion tables for length, volume, and weight/mass, including relationships between yards/feet/inches and meters/centimeters/millimeters, cups/pints/quarts/gallons and liters/milliliters, as well as pounds/ounces/tons and grams/kilograms/milligrams.\"}]","Mathematics Grade 7 and Grade 8 Reference Sheet | PDF",1790807480]