[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-297312-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-297312-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","surface-area-of-a-right-rectangular-prism-activity-finding-surface-area","Surface Area of a Right Rectangular Prism - Activity - Finding Surface Area","","This section introduces how to find the surface area of prisms using nets. Learners work with a right rectangular prism by copying and labeling a net, then using the labeled dimensions to write and apply a surface-area formula. Activities include finding surface area from drawn nets, identifying the solid, and explaining how larger surface area affects melting speed. Example solutions show computations for rectangular and triangular prisms, followed by exercises involving real-world contexts like gift boxes, tents, aquariums, storage boxes, and ramps.",{"@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/surface-area-of-a-right-rectangular-prism-activity-finding-surface-area/297312/",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/surface-area-of-a-right-rectangular-prism-activity-finding-surface-area/297312.png","ImageObject",300,407,{"name":42,"@type":43},"\tWilliam","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-20","2026-09-18",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",11,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you use a net to find the surface area of a right rectangular prism?","Question",{"text":63,"@type":64},"Copy the net, label each side with h, w, or ℓ, and use the areas of the bases and lateral faces to compute the total surface area.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What formula is used for the surface area of a rectangular prism?",{"text":68,"@type":64},"The surface area can be written as S = 2ℓw + 2ℓh + 2wh, which sums the areas of the bases and lateral faces.",{"name":70,"@type":61,"acceptedAnswer":71},"Why does a larger ice block melt faster than smaller blocks?",{"text":72,"@type":64},"A larger block has a greater surface area, which increases heat transfer to the ice and speeds up melting.","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},297312,1789743782,{"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 & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":101,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":80,"read_time":144},5909887254083,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Rectangular Prism Triangular Prism  \nThe surface area of a prism is the sum of the areas of all its faces. A two-dimensional representation of a solid is called a net.  \n 1 ACTIVITY: Surface Area of a Right Rectangular Prism Work with a partner.  \na. Use the net for the rectangular prism to find its surface area.  \nb. Copy the net for a rectangular prism. Label each side as h, w, or ℓ.  \n STATE STANDARDS  \nMA.7.G.2.1  \nHow can you use a net to find the surface  \nBase  \nLateral Face  \nLateral Face  \nThen use your drawing to write a formula for the surface area of a rectangular prism.  \nw  \n256 Chapter 6 Surface Areas of Solids  \n|  |  |  |  |\n| --- | --- | --- | --- |\n|  |  |  |  |\n|  |  |  |  |\n\n2 ACTIVITY: Finding Surface Area    \nWork with a partner. Find the surface area of the solid shown by the net.  \nCopy the net, cut it out, and fold it to form a solid. Identify the solid.  \n3  \n3 4  \n4  \n\n|  | 5 |  |\n| --- | --- | --- |\n\n3  \n3 4  \n3. IN YOUR OWN WORDS How can you use a net to find the surface area of a prism? Draw a net, cut it out, and fold it to form a prism.  \n4. The greater the surface area of an ice block, the faster it will melt. Which will melt faster, the bigger block or the three smaller blocks? Explain your reasoning.  \n3 ft  \n1 ft 1 ft  \n1 ft  \n1 ft  \nUse what you learned about the surface area of a prism to complete Exercises 6–8 on page 260.  \nSection 6.2 Surface Areas of Prisms 257  \nKey Vocabulary   \nsurface area, p. 256 net, p. 256  \nEXAMPLE  \nSurface Area of a Rectangular Prism  \nWords The surface area S of a rectangular prism is the sum of the areas of the bases and the lateral faces.  \n| w | base | w\u003Cbr>w | |\n| --- | --- | --- | --- |\n| lateral\u003Cbr>face | lateral\u003Cbr>face | lateral\u003Cbr>face | lateral\u003Cbr>face |\n|  | base |  |  |\n\nAlgebra S = 2ℓw + 2ℓh + 2wh  \nh  \n1 ~~Finding the Surface Area of a Rec~~t~~angular Prism~~   \n3 in.  \nExercises 9–11   \nFind the surface area of the prism.  \nDraw a net.  \nS = 2ℓw + 2ℓh + 2wh  \n= 2(3)(5) + 2(3)(6) + 2(5)(6)= 30 + 36 + 60  \n= 126  \nThe surface area is 126 square inches.  \nFind the surface area of the prism.  \n1.  \n3 ft  \n2 ft  \n4 ft  \n2.  \n5 m  \n3 in.  \n\n| 5 in. |  | 5 in.\u003Cbr>5 in. 3 in. |  |\n| --- | --- | --- | --- |\n|  |  |  |  |\n|  |  |  |  |\n\n\n|  | |  |\n| --- | --- | --- |\n| |  |  |\n|  |  | \u003Cbr>8 m |\n| 8 m |  |  |\n\n6 in.  \n258  \nChapter 6  \nSurface Areas of Solids  \nSurface Area of a Prism  \nThe surface area S of a prism is the sum of the areas of the bases and the lateral faces.  \nS = areas of bases + areas of lateral faces  \nEXAMPLE 2 ~~Finding the Surface Area of a Tria~~n~~gular Prism~~   \nExercises 12–14   \nFind the surface area of the prism.  \nDraw a net.  \n6 m  \nArea of a base  \nRed base:  ⋅3 ⋅4 = 6  \nAreas of lateral faces  \nGreen lateral face: 3 ⋅6 = 18  \nPurple lateral face: 5 ⋅6 = 30  \nBlue lateral face: 4 ⋅6 = 24  \nAdd the areas of the bases and the lateral faces. S = areas of bases + areas of lateral faces  \n= 6 + 6 + 18 + 30 + 24  \n= 84  \nThe surface area is 84 square meters.  \nFind the surface area of the prism.  \n3. 5 m   \n  12 m   \n13 m  \n3 m  \n4.  \n5 cm  \n4 cm 3 cm  \n4 cm  \nSection 6.2 Surface Areas of Prisms 259  \n1. OPEN-ENDED Describe a real-world situation in which you would want to find the surface area of a prism.  \nFind the indicated area for the rectangular prism.  \n2. Area ofFaceA  \n3. Area ofFace B  \n4. Area ofFace C  \n5. Surface area of the prism  \n4 cm  \nDraw a net for the prism. Then find the surface area.  \n2 12.  \n2 ft  \n2.2 ft  \n3 ft  \n6 cm  \n6 m  \n6 cm  \n8.  \n7 m  \nm  \n3 m  \n11. 5 yd  \n4 yd  \n2 yd  \n14. 5.7 mm  \n4 mm   \n 4 mm  \n15. GIFT BOX What is the least amount of wrapping paper needed to wrap a gift box that measures 8 inches by  \n8 inches by 10 inches? Explain.  \n16. TENT What is the least amount of fabric needed to make the tent?  \n260 Chapter 6 Surface Areas of Solids  \nFind the surface area of the 17. 12 in. 4 in.  \n5 in   \n6 in.  \n3 in.  \n5 in.  \nprism.  \n18.  \n2 m  \n19. AQUARIUM A public library has an aquarium in the","cbCaivbLtNItx2S1","https://ap.wps.com/l/cbCaivbLtNItx2S1","pdf",4749577,"English","# Activity: Surface Area of a Right Rectangular Prism\n## ACTIVITY: Finding Surface Area\n## Key Vocabulary\n# Example: Surface Area of a Rectangular Prism\n## Algebra Formula\n# Example 2: Surface Area of a Triangular Prism\n## Exercises 12–14\n# Open-Ended and Real-World Problems","[{\"question\":\"How do you use a net to find the surface area of a right rectangular prism?\",\"answer\":\"Copy the net, label each side with h, w, or ℓ, and use the areas of the bases and lateral faces to compute the total surface area.\"},{\"question\":\"What formula is used for the surface area of a rectangular prism?\",\"answer\":\"The surface area can be written as S = 2ℓw + 2ℓh + 2wh, which sums the areas of the bases and lateral faces.\"},{\"question\":\"Why does a larger ice block melt faster than smaller blocks?\",\"answer\":\"A larger block has a greater surface area, which increases heat transfer to the ice and speeds up melting.\"}]","Surface Area of a Right Rectangular Prism - Activity - Finding Surface Area | PDF",15]