[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-274718-105":59,"doc-detail-274718-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","volume-and-surface-area-of-composite-solids-shsat-math-practice","Volume and Surface Area of Composite Solids - SHSAT Math Practice","","SHSAT Math practice focused on finding volume and surface area for composite solids. The guide teaches a workflow: break complex shapes into simpler pieces, compute each piece’s volume (using lwh for rectangular prisms), and then add volumes for stacked parts or subtract volumes for hollow sections and cut tunnels. Includes quick-review hints, word problems with composite examples such as benches and display stands, illustrated practice prompts, an answer key for problems 1–30, and short step-by-step explanations.",{"@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/volume-and-surface-area-of-composite-solids-shsat-math-practice/274718/",{"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-composite-solids-shsat-math-practice/274718.png","ImageObject",300,407,{"name":92,"@type":93},"\tJames","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-15",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",15,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you find the volume of a composite solid?","Question",{"text":113,"@type":114},"Break the composite solid into simpler pieces, calculate each piece’s volume, then add them together. If there is a hollow or tunnel, subtract the removed volume.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What formula is suggested for boxes in the quick review?",{"text":118,"@type":114},"Use V = lwh for rectangular boxes, and report answers in cubic units.",{"name":120,"@type":111,"acceptedAnswer":121},"Does the practice include word problems and illustrated problems?",{"text":122,"@type":114},"Yes. It provides word problems (numbered 15–18 in the shown section) and an illustrated practice section that instructs solving by breaking solids into boxes and adding/subtracting volumes.","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},274718,1789482134,{"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":130,"read_time":52},2336474466412,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Practice 􀀏 Progress 􀀏 Succeed | SHSAT Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nVolume and Surface Area of Composite Solids  \n\n| Name:   | D | ate:   | S | core:   / 30 |\n| --- | --- | --- | --- | --- |\n\nQuick Review and Helpful Hints  \nA composite solid is built from simpler solids. Find the volume of each piece and add them – or subtract a hollowed-out part. Use V = lwh for boxes. Answers are in cubic units.  \n▷ Example: A solid is a 4 􀀂 3 􀀂 2 box stacked on a 4 􀀂 3 􀀂 1 box. Find the total volume. Work: Top box = 4 􀀂 3 􀀂 2 = 24 . Bottom box  \n= 4 􀀂 3 􀀂 1 = 12 . Add: 24 + 12 . ⋆ Answer: 36  \nAdd the volume of each piece.  \n♦ Word Problems  \n15. A bench is a 6 􀀂 2 􀀂 1 seat on a 6 􀀂 1 􀀂 2 base. Find the total volume.  \n16. A 4 􀀂 4 􀀂 3 box has a 2 􀀂 2 􀀂 3 hole cut through it. Find the remaining volume.  \n17. Two boxes 5 􀀂 3 􀀂 2 and 5 􀀂 3 􀀂 1 are stacked. Find the total volume.  \n18. A 3 􀀂 3 􀀂 3 cube sits on a 3 􀀂 3 􀀂 2 box. Find the total volume.  \n[E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n1  \nScan Me  \nPractice 􀀏 Progress 􀀏 Succeed | SHSAT Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n♦ Illustrated Practice  \nUse each picture. Break the solid into boxes, then add or subtract volumes.  \n3 􀀂 4 􀀂 2  \n6 􀀂 4 􀀂 2  \nhole 2 􀀂 2 􀀂 4  \n8 􀀂 5 􀀂 4  \n5 􀀂 3 􀀂 2  \n\n| A | B |\n| --- | --- |\n\n2 􀀂 3 􀀂 2  \n6 􀀂 3 􀀂 1  \n4  \n\n| 􀀂 3 􀀂 | 2 |\n| --- | --- |\n|  |  |\n\n10 􀀂 4 􀀂 2  \nseat 8 􀀂 2 􀀂 1  \ntwo legs 1 􀀂 1 􀀂 3  \n19. A platform is made from two stacked rectangular prisms. Find the total volume.  \n20. A box has a tunnel cut straight through it. Find the remaining volume.  \n21. Two connected blocks form one solid. Find the total volume.  \n22. A display has three step layers. Find the total volume.  \n23. An L-shaped block is made from two rectangular prisms. Find its volume.  \n24. A bench has one seat and two legs. Find the total volume.  \n25. A cube is attached to a short prism. Find the total volume.  \nhole 2 􀀂 2 􀀂 5  \n26. A square tunnel is cut through a large block. Find the remaining volume.  \n27. A shelf has a top board and two side supports. Find the total volume.  \n28. A planter is hollow inside. Find the volume of the material.  \nouter 10 􀀂 4 􀀂 3  \n29. A storage unit has a base and a raised back section. Find the total volume.  \n30. A two-level display stand is built from two prisms. Find the total volume.  \n[E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n2  \nScan Me  \nPractice 􀀏 Progress 􀀏 Succeed | SHSAT Math  \nAnswer Keys  \n [E](EffortlessMath.com)[f](Ef","cbCaijL0Gl0iyxD8","https://ap.wps.com/l/cbCaijL0Gl0iyxD8","pdf",286697,"English","# Quick Review and Helpful Hints\n## Word Problems\n## Illustrated Practice\n# Answer Keys\n## Step-by-Step Explanations","[{\"question\":\"How do you find the volume of a composite solid?\",\"answer\":\"Break the composite solid into simpler pieces, calculate each piece’s volume, then add them together. If there is a hollow or tunnel, subtract the removed volume.\"},{\"question\":\"What formula is suggested for boxes in the quick review?\",\"answer\":\"Use V = lwh for rectangular boxes, and report answers in cubic units.\"},{\"question\":\"Does the practice include word problems and illustrated problems?\",\"answer\":\"Yes. It provides word problems (numbered 15–18 in the shown section) and an illustrated practice section that instructs solving by breaking solids into boxes and adding/subtracting volumes.\"}]","Volume and Surface Area of Composite Solids - SHSAT Math Practice | PDF"]