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The lesson structure spans engaging real-world scenarios, investigation activities, guided practice with questions and differentiation, and problem-solving that applies volume, total surface area, and lateral surface area to choose the correct formula.",{"@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/sounds-like-surface-area-lesson-2/297329/",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/sounds-like-surface-area-lesson-2/297329.png","ImageObject",300,407,{"name":42,"@type":43},"Dozel","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",10,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What are lateral surface area and total surface area in this lesson?","Question",{"text":63,"@type":64},"Lateral surface area refers to the area of the lateral faces of a solid, while total surface area includes the lateral surface area plus the base area(s). Students determine these using nets and relevant formulas.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do students use nets to find surface area?",{"text":68,"@type":64},"Students use nets of pyramids and related prisms to calculate lateral and total surface area by analyzing the faces in the net and summing the appropriate areas.",{"name":70,"@type":61,"acceptedAnswer":71},"When should students use volume, total surface area, or lateral surface area formulas?",{"text":72,"@type":64},"Students use the context of each problem to decide which measurement is needed—volume for space inside a solid, total surface area when overall surface coverage matters, and lateral surface area when only the side faces are relevant.","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},297329,1789743929,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,126],{"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":55,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":55,"slug":125},"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":139,"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},962085662650,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Sounds Like Surface Area  \nSurface Area of Pyramids  \n2  \nMATERIALS  \nRulers  \nLesson Overview  \nStudents compare two different pieces of acoustical foam: one that is made up of square pyramids and one that is made up of triangular prisms. Students are introduced to the term lateral surface area, and they compare the total and lateral surface areas of the foam pieces. They then determine the total amount of foam that covers the top surface of the two foam boards. Finally, students use the formulas for the volume, total surface area, and lateral surface area of rectangular and triangular prisms and pyramids to solve real-world problems.  \nGrade 7  \nExpressions, Equations, and Relationships  \n(9) The student applies mathematical process standards to solve geometric problems. The student is expected to:  \n(A) solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids.  \n(D) solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape’s net.  \nELPS  \n1.A, 1.D, 1.E, 1.G, 2.C, 2.D, 2.G, 2.H, 2.I, 3.A, 3.B, 3.C, 3.F, 4.A, 4.B, 4.C, 4.E, 4.F, 4.G, 4.H, 4.K, 5.D, 5.E, 5.G  \nEssential Ideas  \n• A prism is a polyhedron with two parallel and congruent faces called bases. All other faces are parallelograms and are called lateral faces.  \n• A rectangular prism is a prism that has rectangles as its bases.  \n• A triangular prism is a prism that has triangles as its bases.  \n• A pyramid is a polyhedron with one base and the same number of triangular faces as there are sides of the base. The triangular faces are called lateral faces.  \n• A rectangular pyramid is a pyramid that has a rectangle as its base.  \n• A triangular pyramid is a pyramid that has a triangle as its base.  \nLESSON 2: Sounds Like Surface Area • 923A  \nLesson Structure and Pacing: 2 Days  \nDay 1  \nEngage  \nGetting Started: Noise-Canceling Geometry  \nAcoustical foam is placed on walls to control sound. The types of foam used are pyramidal foam and wedge foam. Students compare the top surface of each piece of foam board.  \nDevelop  \nActivity 2.1: Lateral and Total Surface Area of a Pyramid  \nStudents investigate pyramids and nets of pyramids in order to determine their lateral and total surface areas. They compare parts of surface areas of pyramids and triangular prisms.  \nDay 2  \nActivity 2.2: Surface Area Problems  \nStudents solve problems involving prisms and pyramids. They use the context of the problem to decide whether to use the formula for the volume, total surface area, or lateral surface area.  \nActivity 2.3: Building a Surface Area Formula  \nStudents analyze the faces and base of a square pyramid in order to derive formulas for the lateral and total surface area of a pyramid. They then use the formula to calculate the lateral and total surface areas of pyramids.  \nDemonstrate  \nTalk the Talk: The Information You Need  \nStudents determine the information they need to determine the volume, lateral surface area, and total surface area of a pyramid.  \n923B • TOPIC 3: Three-Dimensional Figures  \nGetting Started: Noise-Canceling Geometry  \nENGAGE  \nFacilitation Notes  \nIn this activity, students are presented with a real-world problem involving polyhedrons formed using square pyramids and triangular prisms. They describe and compare the top surface areas.  \nHave students work with a partner or in a group to complete Questions 1 and 2. Share responses as a class.  \nQuestions to ask  \n• How many polyhedra make up the top of the pyramidal foam board?  \n• How many polyhedra make up the top of the wedge foam board?  \n• Which piece of foam board appears to have a greater surface area?  \n• Which foam board appears to contain a greater number of faces?  \n• How does a greater number of faces affect the total surface area?  \nSummary  \nPolyhedrons can be formed using square pyramids and triangular pri","cbCaidwjohKloGw1","https://ap.wps.com/l/cbCaidwjohKloGw1","pdf",868913,18,"English","# Lesson Overview\n## Essential Ideas\n## Lesson Structure and Pacing (2 Days)\n### Day 1\n#### Engage\n#### Develop\n### Day 2\n#### Activity 2.2\n#### Activity 2.3\n# Activity 2.1: Lateral and Total Surface Area of a Pyramid\n# Activity 2.2: Surface Area Problems\n# Talk the Talk: The Information You Need","[{\"question\":\"What are lateral surface area and total surface area in this lesson?\",\"answer\":\"Lateral surface area refers to the area of the lateral faces of a solid, while total surface area includes the lateral surface area plus the base area(s). Students determine these using nets and relevant formulas.\"},{\"question\":\"How do students use nets to find surface area?\",\"answer\":\"Students use nets of pyramids and related prisms to calculate lateral and total surface area by analyzing the faces in the net and summing the appropriate areas.\"},{\"question\":\"When should students use volume, total surface area, or lateral surface area formulas?\",\"answer\":\"Students use the context of each problem to decide which measurement is needed—volume for space inside a solid, total surface area when overall surface coverage matters, and lateral surface area when only the side faces are relevant.\"}]","Sounds Like Surface Area - Lesson 2 | PDF",45]