[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-366166-105":59,"doc-detail-366166-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","volume-and-surface-area-of-spheres-lesson-guide","Volume and Surface Area of Spheres - Lesson Guide","","This lesson guide provides a comprehensive overview of the geometric properties of spheres, specifically focusing on the calculation of volume and surface area. Designed to accompany a video tutorial, the material includes essential concepts, practice problems involving real-world examples such as disco balls and soccer balls, and a dedicated answer key to verify student understanding. The guide acts as a foundational learning tool for K-12 mathematics, offering clear, step-by-step engagement with spherical formulas and their practical applications in space and surface measurement.",{"@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/volume-and-surface-area-of-spheres-lesson-guide/366166/",{"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/volume-and-surface-area-of-spheres-lesson-guide/366166.png","ImageObject",300,407,{"name":92,"@type":93},"anakgang17","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the primary objective of this lesson guide?","Question",{"text":112,"@type":113},"The guide aims to teach students how to identify spheres and calculate their volume and surface area using standard mathematical formulas.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What real-world objects are used for the practice problems?",{"text":117,"@type":113},"The practice problems utilize a disco ball to illustrate surface area and a soccer ball to demonstrate volume calculation.",{"name":119,"@type":110,"acceptedAnswer":120},"Does this guide include a mechanism for self-assessment?",{"text":121,"@type":113},"Yes, the document provides an Answer Key at the end, allowing students to check their solutions for the practice problems and 'Your Turn' exercises.","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},366166,1790807817,{"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":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":24,"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":144,"preview_page_count":4},962090883568,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Name:    \nLesson Guide  \nThis lesson guide accompanies the following video lesson:  \nVolume and Surface Area of Spheres  \nKey Questions  \n• What does a sphere look like?  \n• How can you find the volume of a sphere?  \n• How can you find the surface area of a sphere?  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 1  \nWhat is the difference between VOLUME and SURFACE AREA?  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 2  \nFormula Reference  \nPractice Problem \\#1  \nWhat is the surface area of a disco ball with a radius of 10 feet?  \nMy Answer=    \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 3  \nPractice Problem \\#2  \nHow many cubic centimeters of air would be needed to completely fill a soccer ball with a diameter of 22cm?  \nMy Answer=    \nYOUR TURN!  \nFind the volume and surface area of each of the following:  \nV=  \n_________________  \nA =    \nV=  \n_________________  \nA =    \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 4  \nANSWER KEY  \nPractice Problem \\#1: Surface Area ≈ 1, 256. 6 􀀡􀀢! Practice Problem \\#2: Volume ≈ 5, 575.3 cubic centimeters Your Turn!  \n1.) V≈2144.66 cubic mm, A≈804.25 square mm  \n2.) V≈ 11494.04 cubic yd, A≈2463.01 square yd  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 5","cbCaikt9HBt426L0","https://ap.wps.com/l/cbCaikt9HBt426L0","pdf",2427492,"English","# Lesson Guide - Volume and Surface Area of Spheres\n## Key Questions and Concepts\n## Formula Reference\n## Practice Problems\n## Your Turn Exercises\n## Answer Key","[{\"question\":\"What is the primary objective of this lesson guide?\",\"answer\":\"The guide aims to teach students how to identify spheres and calculate their volume and surface area using standard mathematical formulas.\"},{\"question\":\"What real-world objects are used for the practice problems?\",\"answer\":\"The practice problems utilize a disco ball to illustrate surface area and a soccer ball to demonstrate volume calculation.\"},{\"question\":\"Does this guide include a mechanism for self-assessment?\",\"answer\":\"Yes, the document provides an Answer Key at the end, allowing students to check their solutions for the practice problems and 'Your Turn' exercises.\"}]","Volume and Surface Area of Spheres - Lesson Guide | PDF",1790164018,13]