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Worked examples support calculating areas from given dimensions, with notes clarifying when formulas apply, including the square-base condition for pyramid surface area.",{"@graph":14,"@context":77},[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/83-surface-area-of-prisms-and-pyramids-lesson-solutions/297559/",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/83-surface-area-of-prisms-and-pyramids-lesson-solutions/297559.png","ImageObject",300,407,{"name":42,"@type":43},"Riley 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(since the triangular ends are equal in area).",{"name":74,"@type":61,"acceptedAnswer":75},"What special condition applies to the pyramid surface area formula shown?",{"text":76,"@type":64},"The note states the formula only works for a pyramid with a square base.","https://schema.org",{"og:url":32,"og:type":79,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":81,"canonical":32},"index,follow",{"doc_id":83,"site_id":7},297559,1790035159,{"code":4,"msg":86,"data":87},"success",[88,92,96,99,104,109,114,119,124,127,131],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Story & 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the areas of its outside surfaces.(How much material is needed to build an object)  \n   \n## Part 1:Surface Area of Rectangular Prisms\n\n   \nThe formula for a rectangular prism is:  \n\n| S=2lw+2wh+2 lh  \u003Cbr>h  \u003Cbr>or  \u003Cbr>S=2(lw+wh+lh)  \u003Cbr>l   |\n| --- |\n\nExample 1:  \n(1)+2C4)(1)  \nmm  \n26 mm²2 mm4mmW  \nExample 2:What is the total surface area of a room that has the following measurements?  \n2)(3。0)+2(3.4)(3)  \n3.6m  \n## Part 2:Surface Area of Triangular Prisms\n\n   \nHow Can We Find the Surface Area of a Triangular Prism?  \nAdd the areas of allsides.Note:The triangular ends are equal in area+2Area offrawoleSA=Area of  \n   \nExample 3:Find the surface area of the following triangular prism  \n=80.4(m2  \nArea of Rectangle 1=w=(10)(13。4)=134cm^  \nArea of Rectangle 2=lwArea of Rectangle 3=Qw=(以)(0)  \n=(8)(10)=12Gc从  \nTotal Surface area=Area of rectangles+2(Area of triangular base)  \n二34  \n二  \n694.8  \n二  \n   \n10 cm  \n二180cm²  \nExample 4:Find the surface area of the following triangular prism  \nNote:All 3 sides of the triangular base are equal.This means that all three of the rectangular sideswill be congruent.  \nArea of rectangle=(w  \nTotal Surface Area=3(Area of rectangle)+2(Area of triangular base)  \nExample 5:Find the surface area of the following cylinder:  \n=5.4cm²  \n=3(10.5)+2(S.4)  \n31.5+0.4=42.3\u003Cm²  \n## Part 3:Surface Area of a Cylinder\n\n   \nExample 6:Find the surface area of the following cylinder:  \n= 255.2:60。Y+194.8SA=2(3。门+2个(3.))(10  \n## Part 4:Surface Area of a Pyramid\n\n   \nExample 7:A modern example of a pyramid can be found at the Louvre in Paris,France.The glass square-based pyramid was built as an entrance to this famous museum.Calculate the surface area of the pyramidincluding the square base.  \nSApyramid=Abase+4Atriangle  \n\n| Note:This formula only works for a  \u003Cbr>pyramid with a square base   |\n| --- |\n\n二 3171m(225+1946SA=(35)²+4()(35)(27.8)  \n| Homework:Complete Worksheet   |\n| --- |","cbCaiabeDJKxrwbx","https://ap.wps.com/l/cbCaiabeDJKxrwbx","pdf",163030,"English","# 8.3 Surface Area of Prisms and Pyramids\n## Part 1: Surface Area of Rectangular Prisms\n## Part 2: Surface Area of Triangular Prisms\n## Part 3: Surface Area of a Cylinder\n## Part 4: Surface Area of a Pyramid\n## Homework: Complete Worksheet","[{\"question\":\"What does “surface area” mean in this lesson?\",\"answer\":\"Surface area is the sum of the areas of an object’s outside surfaces, representing how much material is needed to build it.\"},{\"question\":\"How do you find the total surface area of a rectangular prism?\",\"answer\":\"Use S=2lw+2wh+2lh or equivalently S=2(lw+wh+lh), based on the given length, width, and height.\"},{\"question\":\"How is the surface area of a triangular prism calculated?\",\"answer\":\"Add the areas of all sides: the rectangular face areas plus twice the area of the triangular base (since the triangular ends are equal in area).\"},{\"question\":\"What special condition applies to the pyramid surface area formula shown?\",\"answer\":\"The note states the formula only works for a pyramid with a square base.\"}]","8.3 Surface Area of Prisms and Pyramids - Lesson Solutions | PDF",1789745764]