[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-359958-105":59,"doc-detail-359958-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","surface-area-of-pyramids-a-formula-reference-directions-and-practice","Surface Area of Pyramids (A) - Formula Reference - Directions and Practice","","Instructional math worksheet that provides surface area formulas for square and triangular pyramids, defining base edge length b and slant height l. Directions guide students to substitute given slant heights and base edges into the appropriate surface-area equations. The document includes numbered practice problems for each pyramid type and a word problem about an Egyptian pyramid keychain, followed by a complete answer key with final areas and units.",{"@graph":69,"@context":123},[70,84,106],{"@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/surface-area-of-pyramids-a-formula-reference-directions-and-practice/359958/",{"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/surface-area-of-pyramids-a-formula-reference-directions-and-practice/359958.png","ImageObject",300,407,{"name":92,"@type":93},"Alex Sinclair","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-06","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What formulas does the worksheet use for the surface area of pyramids?","Question",{"text":113,"@type":114},"For a square pyramid, SA = b² + 4(½ × b × l). For a triangular pyramid, SA = 4(½ × b × l).","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What do b and l represent in the formulas?",{"text":118,"@type":114},"b is the base edge length, and l is the slant height (height of each triangular face).",{"name":120,"@type":111,"acceptedAnswer":121},"How is the word problem solved for the Egyptian pyramid keychain?",{"text":122,"@type":114},"Substitute the base side length and slant height into the square-pyramid surface area formula: SA = b² + 4(½ × b × l), then compute the total with units.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},359958,1790461627,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":39,"preview_page_count":4},1099523882182,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Name:    \nSurface Area of Pyramids (A)  \nFormula Reference  \nSquare Pyramid: SA = b² + 4(½ × b × l) | Triangular Pyramid: SA = 4(½ × b × l)  \nb = base edge, l = slant height  \nDirections: Use the formula to find the surface area of each pyramid. Slant height (l) is labeled in blue.  \nSection 1—Square Pyramids  \n\n| 1.)\u003Cbr>l = 5 cm\u003Cbr>6 cm\u003Cbr>SA =   | 2.)\u003Cbr>l = 7 m\u003Cbr>8 m\u003Cbr>SA =   |\n| --- | --- |\n| 3.)\u003Cbr>l = 8 ft\u003Cbr>10 ft\u003Cbr>SA =   | 4.)\u003Cbr>l = 6 in\u003Cbr>4 in\u003Cbr>SA =   |\n| 5.)\u003Cbr>l = 10 yd\u003Cbr>12 yd\u003Cbr>SA =   | 6.)\u003Cbr>l = 9 cm\u003Cbr>5 cm\u003Cbr>SA =   |\n\nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nSection 2—Triangular Pyramids  \nFormula: SA = 4(½ × b × l) where b = base edge length, l = slant height of each face  \n\n| 7.) | | \u003Cbr>10 m\u003Cbr>SA =   |\n| --- | --- | --- |\n| SA =   |  |  |\n| 9.)\u003Cbr>\u003Cbr>SA =   |  | 10.)\u003Cbr>l = 9 in\u003Cbr>5 in\u003Cbr>SA =   |\n\nWord Problem  \n11.) An Egyptian pyramid keychain has a square base with side length 10 cm and a slant height of 13 cm. What is the total surface area of the pyramid? Show your work.  \nAnswer:    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \nSection 1—Square Pyramids:  \n1.) 6²+4(½×6×5) = 36+60 = 96 cm²  \n2.) 8²+4(½×8×7) = 64+112 = 176 m²  \n3.) 10²+4(½×10×8) = 100+160 = 260 ft²  \n4.) 4²+4(½×4×6) = 16+48 = 64 in²  \n5.) 12²+4(½×12×10) = 144+240 = 384 yd²  \n6.) 5²+4(½×5×9) = 25+90 = 115 cm²  \nSection 2—Triangular Pyramids:  \n7.) 4(½×6×8) = 96 cm²  \n8.) 4(½×10×12) = 240 m²  \n9.) 4(½×8×7) = 112 ft²  \n10.) 4(½×5×9) = 90 in²  \nWord Problem:  \n11.) SA = 10²+4(½×10×13) = 100+260 = 360 cm²  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCaiiKVJaOGvrkp","https://ap.wps.com/l/cbCaiiKVJaOGvrkp","pdf",3583893,"English","# Section 1—Square Pyramids\n## Problems 1–6\n# Section 2—Triangular Pyramids\n## Problems 7–10\n# Word Problem\n## Problem 11\n# Answer Key","[{\"question\":\"What formulas does the worksheet use for the surface area of pyramids?\",\"answer\":\"For a square pyramid, SA = b² + 4(½ × b × l). For a triangular pyramid, SA = 4(½ × b × l).\"},{\"question\":\"What do b and l represent in the formulas?\",\"answer\":\"b is the base edge length, and l is the slant height (height of each triangular face).\"},{\"question\":\"How is the word problem solved for the Egyptian pyramid keychain?\",\"answer\":\"Substitute the base side length and slant height into the square-pyramid surface area formula: SA = b² + 4(½ × b × l), then compute the total with units.\"}]","Surface Area of Pyramids (A) - Formula Reference - Directions and Practice | PDF",1790138324]