[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-359946-105":59,"doc-detail-359946-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","surface-area-mixed-practice-b","Surface Area Mixed Practice - B","","This document provides a comprehensive set of mixed practice exercises focused on calculating the surface area of various geometric figures, including cubes, rectangular prisms, triangular prisms, and square pyramids. Designed as a supplementary learning tool, it includes problems for students to solve, followed by an extensive answer key that details the step-by-step mathematical calculations for each figure. Additionally, it features a practical challenge problem involving the surface area of room walls.",{"@graph":69,"@context":122},[70,84,105],{"@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-mixed-practice-b/359946/",{"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-mixed-practice-b/359946.png","ImageObject",300,407,{"name":92,"@type":93},"Alex Sinclair","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-24","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you calculate the surface area of a cube?","Question",{"text":112,"@type":113},"The surface area is calculated using the formula 6 multiplied by the side length squared, as demonstrated in the first practice problem (6 x 4² = 96 cm²).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the approach for finding the area of the walls in the challenge problem?",{"text":117,"@type":113},"To find the area of the four walls, first calculate the full surface area of the room, then subtract the combined area of the floor and ceiling from that total.",{"name":119,"@type":110,"acceptedAnswer":120},"What geometric shapes are covered in the exercises?",{"text":121,"@type":113},"The document includes practice problems for cubes, rectangular prisms, triangular prisms, and square pyramids.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},359946,1790246039,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39,"preview_page_count":4},1099523882182,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Name:    \nSurface Area Mixed Practice (B)  \nDirections: Find the surface area of each figure. Show your work.  \n1.  \n4 cm 4 cm  \n2.  \n3.  \n3 cm  \n12 cm  \n5 cm  \n3 cm  \n4 cm  \n9 cm  \n6 cm  \n5 cm  \n4.  \n5.  \n6.  \nSA =  \n_________________  \nSA =  \n_________________  \nSA =  \n_________________  \n9 cm  \n7 cm  \n8 cm  \n5 cm  \n12 cm  \n6 cm  \n13 cm  \nSA =   SA =   SA =    \n7. Challenge Problem  \nA scale model of a room has a length of 12 cm, a width of 8 cm, and a height of 5 cm. A painter wants to paint only the 4 walls (not the floor or ceiling) .  \na) What is the full surface area of the rectangular prism?    \nb) What is the combined area of the floor and ceiling?    \nc) What is the total area the painter needs to paint (walls only)?    \nANSWER KEY  \n1.) Cube: 6 × 4² = 6 × 16 = 96 cm²  \n2.) Rect Prism: 2(36+27+12) = 2(75) = 150 cm²  \n3.) Rect Prism: 2(60+36+15) = 2(111) = 222 cm²  \n4.) Tri Prism: 5×12 + (5+12+13)×6 = 60+180 = 240 cm²  \n5.) Square Pyramid: 7² + 2×7×9 = 49+126 = 175 cm²  \n6.) Rect Prism: 2(30+48+40) = 2(118) = 236 cm²  \n7.) Challenge Problem:  \na) 392 cm² (SA = 2(96+60+40) = 2(196) = 392)  \nb) 192 cm² (floor + ceiling = 2 × 12×8 = 2×96 = 192)  \nc) 200 cm² (392 − 192 = 200)  \nANSWER KEY  \n8.) b=3, l=7 → base² = 9 | 2×3×7 = 42 | SA = 51 cm²  \n9.) b=5, l=6 → base² = 25 | 2×5×6 = 60 | SA = 85 cm²  \n10.) b=6, l=9 → base² = 36 | 2×6×9 = 108 | SA = 144 cm²  \n11.) b=7, l=8 → base² = 49 | 2×7×8 = 112 | SA = 161 cm²  \n12.) b=8, l=7 → base² = 64 | 2×8×7 = 112 | SA = 176 cm²  \n13.) b=9, l=7 → base² = 81 | 2×9×7 = 126 | SA = 207 cm²  \n14.) b=10, l=9 → base² = 100 | 2×10×9 = 180 | SA = 280 cm²  \n15.) b=11, l=8 → base² = 121 | 2×11×8 = 176 | SA = 297 cm²  \n16.) b=12, l=11 → base² = 144 | 2×12×11 = 264 | SA = 408 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)","cbCaitYnRFdcPI8F","https://ap.wps.com/l/cbCaitYnRFdcPI8F","pdf",1225726,"English","# Practice Problems\n## Mixed Geometric Figures\n## Challenge Problem\n# Answer Key\n## Solutions to Practice Problems\n## Challenge Problem Solutions\n## Supplemental Exercise Solutions","[{\"question\":\"How do you calculate the surface area of a cube?\",\"answer\":\"The surface area is calculated using the formula 6 multiplied by the side length squared, as demonstrated in the first practice problem (6 x 4² = 96 cm²).\"},{\"question\":\"What is the approach for finding the area of the walls in the challenge problem?\",\"answer\":\"To find the area of the four walls, first calculate the full surface area of the room, then subtract the combined area of the floor and ceiling from that total.\"},{\"question\":\"What geometric shapes are covered in the exercises?\",\"answer\":\"The document includes practice problems for cubes, rectangular prisms, triangular prisms, and square pyramids.\"}]","Surface Area Mixed Practice - B | PDF",1790138266]