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Worked examples use rectangular and triangular prisms, applying S = Ph + 2B, with P as base perimeter, h as height, and B as base area.",{"@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/key-surface-area-of-prisms-notes-surface-area-formulas/297316/",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/key-surface-area-of-prisms-notes-surface-area-formulas/297316.png","ImageObject",300,407,{"name":42,"@type":43},"Sarah ","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-09-18",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",14,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does the notes mean by total surface area of a solid?","Question",{"text":63,"@type":64},"Total surface area is the sum of the areas of all the surfaces (faces) of the solid.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do nets help in finding surface area?",{"text":68,"@type":64},"A net is a 2D representation of a 3D figure laid out flat, showing each face, which makes it easier to calculate the total surface area.",{"name":70,"@type":61,"acceptedAnswer":71},"What is the formula for the total surface area of a prism shown in the notes?",{"text":72,"@type":64},"The notes use S = Ph + 2B, where P is the perimeter of the base, h is the height, and B is the area of the base.","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},297316,1790102450,{"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|  | Use previous knowledge of surface area to make  \u003Cbr>connections to the formulas for lateral and total siirface   |  | Class/Perio   |\n|  | area and determine solutions for problems involving  \u003Cbr>rectangular prisms and triangular prisms   |  | Date:   |\n| Essential Question:   |  |  |  |\n|  |  |  |  |\n| Questions:   |  | Notes:   |  |\n|  |  |  |  |\n|  |  | Surface Area of a solid figure is the Sum  \u003Cbr>of the areaS  \u003Cbr>of its surface.   |  |\n|  |  | units since we are finding a type of area.  \u003Cbr>→Express units as  \u003Cbr>sguare   |  |\n|  |  | →How much material needed to create figure;how much paper needed to wrap solid   |  |\n|  |  |  |  |\n|  |  | is a pattern made when the surface of a 3-dimensional figure is layed out flat  \u003Cbr>net   |  |\n|  |  | _of the figure  \u003Cbr>→Nets show each  \u003Cbr>face   |  |\n|  |  | →Nets are a 2-dimensional representation of the solid that shows all the faces at once   |  |\n|  |  | Find the total surface area of the rectangular prism using its net:  \u003Cbr>10  \u003Cbr>18n.  \u003Cbr>40  \u003Cbr>584  \u003Cbr>n^2  \u003Cbr>40   |  |\n|  |  | Find the total surface area of the rectanglar prisn  \u003Cbr>5cm  \u003Cbr>(in  \u003Cbr>(1s+sa3),19  \u003Cbr>=socmm  \u003Cbr>3  \u003Cbr>3=15cman  \u003Cbr>①  \u003Cbr>10·3=30cp   |  |\n|  |  |  |  |\n|  |  | The formula for finding the Total Surface Area of a prism is S=Ph+2B  \u003Cbr>Pis Perimeter of base h is height of figure B is Area of base  \u003Cbr>S is Total surface area    |  |\n\n|  |  |  |  |  |\n| --- | --- | --- | --- | --- |\n|  | Find the total surface area of the rectangula  \u003Cbr>3cm  \u003Cbr>4cm  \u003Cbr>10 cm  \u003Cbr>B10440cm  \u003Cbr>144 m²1  \u003Cbr>h3cm  \u003Cbr>+  \u003Cbr>:0+4+19+4÷08 Gm S,O0+9(H6)   |  |  |  |\n|  | Find the total surface area of the t  \u003Cbr>4in  \u003Cbr>5 in  \u003Cbr>4in  \u003Cbr>5:1 0  \u003Cbr>in  \u003Cbr>B6=15m2  \u003Cbr>1+  \u003Cbr>h:0in  \u003Cbr>:4+4十=4iw  \u003Cbr>S(i4)ti9)+9(16)  \u003Cbr>=助日   |  |  |  |\n|  |  |  |  |  |\n|  | There are tD  \u003Cbr>types of surface area   |  |  |  |\n|  | the surfaces on a 3D solid,including bases  \u003Cbr>→Total Surface Area:Area of  \u003Cbr>a11    |  |  |  |\n|  | S=Ph+2B   |  |  |  |\n|  | →Lateral Surface Area:Area of the facd on a 3D salid.Does not include basasl   |  |  |  |\n|  | S=Ph;Sis lateral surface area;Pis Perimeter of base h is height of figure   |  |  |  |\n|  |  |  |  |  |\n|  | Find the lateral surface area and total surface area for each prism below   |  |  |  |\n|  | 4.2 mm  \u003Cbr>10 mm  \u003Cbr>14.5 mm  \u003Cbr>1)   | 5.3cm  \u003Cbr>2cm  \u003Cbr>2.5 cm  \u003Cbr>36m  \u003Cbr>6.3cm  \u003Cbr>2)   |  |  |\n|  | P=14.5+10+14.5+10;49 mm   | P=2,5+43+5.219cm   |  |  |\n|  | m  \u003Cbr>h= 4.2   | h=3m   |  |  |\n|  | B= 14.S102 iqs mm²   | B= 儿,312(.3 cn   |  |  |\n|  | auaae日  \u003Cbr>S=9h   | Lateral surface area:  \u003Cbr>S=ph   |  |  |\n|  | s=(99)(4.2   | )   |  |  |\n|  | S:20S.8 mm²   |  | S=m^   |  |\n|  | Total surface area:  \u003Cbr>S+2写   | Tol unceare、   |  |  |\n|  | s(49)(4:2)+214s)   | S:(4)(3)+3(4.3)   |  |  |\n|  | S=205.8+290=495   | 王  \u003Cbr>5:收21.  \u003Cbr>.8   |  | 5 lm^2   |\n| Summary:   |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |","cbCaigh2qn1gC3RH","https://ap.wps.com/l/cbCaigh2qn1gC3RH","pdf",777630,"English","# Surface Area of Prisms\n## Definitions and Units\n## Nets and Total Surface Area\n## Prism Formulas (S = Ph + 2B)\n## Worked Examples (Rectangular and Triangular Prisms)","[{\"question\":\"What does the notes mean by total surface area of a solid?\",\"answer\":\"Total surface area is the sum of the areas of all the surfaces (faces) of the solid.\"},{\"question\":\"How do nets help in finding surface area?\",\"answer\":\"A net is a 2D representation of a 3D figure laid out flat, showing each face, which makes it easier to calculate the total surface area.\"},{\"question\":\"What is the formula for the total surface area of a prism shown in the notes?\",\"answer\":\"The notes use S = Ph + 2B, where P is the perimeter of the base, h is the height, and B is the area of the base.\"}]","Key Surface Area of Prisms Notes - Surface Area Formulas | PDF",1789743792]