[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-266414-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-266414-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","grade-9-academic-formula-sheet","Grade 9 Academic Formula Sheet","","This document is a formula sheet for Grade 9 Academic mathematics. It provides formulas for the perimeter and area of various geometric figures, including rectangles, parallelograms, triangles, trapezoids, and circles. Additionally, it lists the surface area and volume formulas for three-dimensional shapes such as cylinders, spheres, cones, square pyramids, rectangular prisms, and triangular prisms. The formulas are presented clearly in a tabular format, making them easy to reference for students studying geometry at the Grade 9 academic level. The sheet is designed to be a quick and handy resource for recalling essential geometric formulas during study or exams.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/grade-9-academic-formula-sheet/266414/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/grade-9-academic-formula-sheet/266414.png","ImageObject",300,407,{"name":42,"@type":43},"Hazel","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-03","2026-09-14",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",23,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What geometric figures are covered in the formula sheet?","Question",{"text":63,"@type":64},"The formula sheet covers basic 2D geometric figures like rectangles, parallelograms, triangles, trapezoids, and circles, as well as 3D shapes including cylinders, spheres, cones, square pyramids, rectangular prisms, and triangular prisms.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What types of formulas are provided for each geometric figure?",{"text":68,"@type":64},"For 2D figures, formulas for perimeter and area are provided. For 3D figures, formulas for surface area and volume are included.",{"name":70,"@type":61,"acceptedAnswer":71},"What is the intended audience and purpose of this document?",{"text":72,"@type":64},"This formula sheet is intended for Grade 9 Academic students and serves as a quick reference for essential geometry formulas needed for their studies and exams.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},266414,1789407136,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & 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|\n| Rectangle l\u003Cbr>\u003Cbr>\u003Cbr>|  | w | P = l + l + w + wor\u003Cbr>P = 2(l + w) | A = lw |\n| Parallelogram\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>b |  |  | P = b + b + c + cor\u003Cbr>P = 2(b + c) | A = bh |\n| Triangle\u003Cbr>\u003Cbr>b |  |  | P = a + b + c | A = bh2 or\u003Cbr> 1\u003Cbr>A = bh 2 |\n| Trapezoid\u003Cbr>a\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>b |  |  | P = a + b + c + d | A = (a +b)h 2\u003Cbr>or\u003Cbr> 1 \u003Cbr>A = (a + b)h 2 |\n| Circle | |  | C = πdor\u003Cbr>C = 2πr | A = πr2 |\n\n\n| Geometric Figure |  |  |  | Surface Area | Volume |  |\n| --- | --- | --- | --- | --- | --- | --- |\n| Cylinder |  |  |  | Abase = πr2\u003Cbr>Alateral surface = 2πrh\u003Cbr>Atotal = 2Abase + Alateral surface = 2πr2 + 2πrh | V = (Abase)(height)\u003Cbr>V = πr2h |  |\n| |  |  | h |  |  |  |\n| Sphere\u003Cbr>|  |  |  | A = 4πr2 |  4  3 V = 3 πr | 4πr3 or V =  3  |\n| Cone |  | |  | Abase = πr2\u003Cbr>Alateral surface = πrs\u003Cbr>Atotal = Alateral surface + Abase = πrs + πr2 | (Abase)(height) V =  3 \u003Cbr>V = ~~ 1~~3~~ ~~ πr2h or V = ~~ ~~πr32h~~ ~~ |  |\n| \u003Cbr>\u003Cbr>b\u003Cbr>\u003Cbr>b |  |  |  | Abase = b2\u003Cbr>Atriangle = ~~ 1~~2~~ ~~ bs\u003Cbr>Atotal = 4Atriangle + Abase = 2bs + b2 | V = (Abase)(h3eight)\u003Cbr>V = ~~ 1~~3~~ ~~ b 2h or V = ~~ ~~b23h~~ ~~ |  |\n| Rectangular prism |  |  |  | A = 2(wh + lw + lh) | V = (Abase)(height)\u003Cbr>V = lwh |  |\n| h | \u003Cbr>\u003Cbr>\u003Cbr>w l |  |  |  |  |  |\n| Triangular prism\u003Cbr>\u003Cbr>ca\u003Cbr>\u003Cbr>l\u003Cbr>h\u003Cbr>b |  |  |  | Abase = ~~ 1~~2~~ ~~ bl\u003Cbr>Arectangles = ah + bh + ch\u003Cbr>Atotal = Arectangles + 2Abase = ah + bh + ch + bl | V = (Abase)(height)\u003Cbr> 1   blh V = 2 blh or V = 2 |  |","cbCaij1WEKdS13ek","https://ap.wps.com/l/cbCaij1WEKdS13ek","pdf",137471,"English","# Geometric Figures\n## Perimeter and Area\n## Surface Area and Volume","[{\"question\":\"What geometric figures are covered in the formula sheet?\",\"answer\":\"The formula sheet covers basic 2D geometric figures like rectangles, parallelograms, triangles, trapezoids, and circles, as well as 3D shapes including cylinders, spheres, cones, square pyramids, rectangular prisms, and triangular prisms.\"},{\"question\":\"What types of formulas are provided for each geometric figure?\",\"answer\":\"For 2D figures, formulas for perimeter and area are provided. For 3D figures, formulas for surface area and volume are included.\"},{\"question\":\"What is the intended audience and purpose of this document?\",\"answer\":\"This formula sheet is intended for Grade 9 Academic students and serves as a quick reference for essential geometry formulas needed for their studies and exams.\"}]","Grade 9 Academic Formula Sheet | PDF"]