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Includes guidance on using V = lwh, interpreting stacked solids, and handling tunnels and cut-through holes. Provides illustrated practice instructions and a set of word problems (bench, L-shaped blocks, platforms, planters, storage units) with answer keys and step-by-step solution patterns.",{"@graph":69,"@context":114},[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-composite-solids-quick-review-practice-problems/273991/",{"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-quick-review-practice-problems/273991.png","ImageObject",300,407,{"name":92,"@type":93},"Adam","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-15",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108],{"name":109,"@type":110,"acceptedAnswer":111},"What should you do when a solid has a tunnel or hole cut through it?","Question",{"text":112,"@type":113},"Compute the volume of the full outer solid first, then subtract the volume of the removed section (the tunnel/hole).","Answer","https://schema.org",{"og:url":83,"og:type":116,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":118,"canonical":83},"index,follow",{"doc_id":120,"site_id":62},273991,1790027431,{"code":4,"msg":5,"data":123},{"doc_id":120,"user_id":124,"nickname":92,"user_avatar":125,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":126,"file_id":127,"file_url":128,"file_type":129,"file_size":130,"view_count":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":131,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":132,"faqs":133,"seo_title":134,"seo_description":67,"update_tm":135,"read_time":52},1374404737137,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Practice 􀀏 Progress 􀀏 Succeed | HSPT 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 | HSPT 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 | HSPT Math  \nAnswer Keys  \n [E](EffortlessMath.com)[f](Effor","cbCainBQ8Y468o1D","https://ap.wps.com/l/cbCainBQ8Y468o1D","pdf",282941,"English","# Quick Review and Helpful Hints\n# Illustrated Practice\n# Word Problems\n# Answer Keys\n# Step-by-Step Explanations","[{\"question\":\"What should you do when a solid has a tunnel or hole cut through it?\",\"answer\":\"Compute the volume of the full outer solid first, then subtract the volume of the removed section (the tunnel/hole).\"}]","Volume and Surface Area of Composite Solids - Quick Review - Practice Problems | PDF",1789473974]