[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-363013-105":59,"doc-detail-363013-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-word-problems-b","Surface Area - Word Problems (B)","","Worksheet focused on calculating total surface area for common 3D solids using provided formula references for rectangular prisms, square pyramids, triangular prisms, and triangular pyramids. Problems require setting up and solving each scenario, including units and faces that are or are not included (e.g., open-top tanks, painted sides only). Includes an answer key with computed results and a multi-part challenge combining surface areas of two different candle shapes.",{"@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-word-problems-b/363013/",{"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-word-problems-b/363013.png","ImageObject",300,407,{"name":92,"@type":93},"Bulrr","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What formulas are referenced for finding surface area in this worksheet?","Question",{"text":113,"@type":114},"It references surface area for a rectangular prism (2lw + 2lh + 2wh), a square pyramid (b² + 4(½bl)), and triangular prism/pyramid forms including base edges and lateral surface area.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How should answers be presented for each problem?",{"text":118,"@type":114},"Set up and solve each problem, show your work, and include units in the final answer.",{"name":120,"@type":111,"acceptedAnswer":121},"How does the worksheet handle cases where some faces are excluded?",{"text":122,"@type":114},"Some problems specify which faces count, such as an open-top fish tank or paint applied only to triangular faces of a pyramid and sides of a container excluding the floor.","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},363013,1790452925,{"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":19,"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":52,"preview_page_count":4},5909892115043,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Name:     \nSurface Area—Word Problems (B)  \nFormula Reference:  \nSA of rectangular prism = 2lw + 2lh + 2wh SA of square pyramid = b² + 4(½bl)  \nSA of triangular prism = bh + (s₁+s₂+s₃)×LSA of triangular pyramid = 4(½bl)  \nDirections: Set up and solve each problem. Show your work. Include units in your answer.  \n1.) An Egyptian pyramid model has a square base with a side length of 15 cm and a slant height of 12 cm. Find the total surface area of the pyramid.  \n2.) A cube-shaped die has a side length of 2.5 cm. What is the total surface area of the die?  \n3.) A triangular prism-shaped ramp has a right triangle cross-section with legs of 5 m and 12 m. The ramp is  \n8 m wide. Find the total surface area of the ramp including all faces.  \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)  \n4.) A fish tank is 24 inches long, 12 inches wide, and 16 inches tall. It is open at the top. How many square inches of glass are needed to build the fish tank?  \n5.) A rectangular prism-shaped brick is 20 cm long, 10 cm wide, and 6 cm tall. What is the total surface area of the brick?  \n6.) A triangular prism-shaped chocolate bar has a right triangle cross-section with legs of 3 cm and 4 cm. The bar is 15 cm long. Find the total surface area of the chocolate bar.  \n7.) A square pyramid decorates the top of a building. The base is 6 m per side and the slant height is 8 m. Only the 4 triangular faces will be painted (not the base) . How many square meters of paint are needed?  \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)  \n8.) A shipping container is a rectangular prism 12 m long, 2.5 m wide, and 2.5 m tall. A company paints the outside of the container, excluding the floor. How many square meters need to be painted?  \nChallenge Problem  \n9.) A decorative candle company makes two shapes. Candle A is a rectangular prism measuring 5 cm × 5 cm × 20 cm. Candle B is a square pyramid with a base of 8 cm × 8 cm and a slant height of 10 cm.  \na) Find the surface area of each candle.  \nb) What is the combined total surface area of one of each candle?  \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  \n1.) SA = 15²+4(½×15×12) = 225+360 585 cm²  \n2.) SA = 6×2 .5² = 6×6 .25 37.5 cm²  \n3.) c=13; SA = 5×12+(5+12+13)×8 = 60+240 300 m²  \n4.) 5 faces: 2(24×16)+2(12×16)+(24×12) = 768+384+288 1440 in²  \n5.) SA = 2(20×10)+2(20×6)+2(10×6) = 400+240+120 760 cm²  \n6.) c=5; SA = 3×4+(3+4+5)×15 = 12+180 192 cm²  \n7.) 4 triangular faces only: 4(½×6×8) 96 m²  \n8.) 5 faces: 2(12×2 .5)+2(2 .5×2 .5)+(12×2 .5) = 60+12 .5+30 102.5 m²  \nChallenge:  \na) SAₐ=2(5×5)+4(5×20)=50+400=450 cm². SAᴅ=8²+4(½×8×10)=64+160=224 cm²  \nb) Combined: 450+224 = 674 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)","cbCaim4lj2EjvmRW","https://ap.wps.com/l/cbCaim4lj2EjvmRW","pdf",2915093,"English","# Problems\n## Challenge Problem\n# Answer Key","[{\"question\":\"What formulas are referenced for finding surface area in this worksheet?\",\"answer\":\"It references surface area for a rectangular prism (2lw + 2lh + 2wh), a square pyramid (b² + 4(½bl)), and triangular prism/pyramid forms including base edges and lateral surface area.\"},{\"question\":\"How should answers be presented for each problem?\",\"answer\":\"Set up and solve each problem, show your work, and include units in the final answer.\"},{\"question\":\"How does the worksheet handle cases where some faces are excluded?\",\"answer\":\"Some problems specify which faces count, such as an open-top fish tank or paint applied only to triangular faces of a pyramid and sides of a container excluding the floor.\"}]","Surface Area - Word Problems (B) | PDF",1790149659]