[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-360047-105":59,"doc-detail-360047-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-word-problems-a-solve-practice-questions","Volume - Word Problems (A) - Solve practice questions","","Volume—Word Problems (A) is a K-12 math practice set focused on calculating volumes of 3D figures. It covers rectangular prisms, triangular prisms, rectangular pyramids, and square pyramids using formulas for V and includes clear instructions to show all work and include units. Eight word problems ask for missing dimensions, compare volumes, and determine which container holds more water, with a provided answer key for verification.",{"@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-word-problems-a-solve-practice-questions/360047/",{"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-word-problems-a-solve-practice-questions/360047.png","ImageObject",300,407,{"name":92,"@type":93},"Jordan Avery","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":46},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"Which volume formulas are used in this worksheet?","Question",{"text":112,"@type":113},"It uses V = l × w × h for rectangular prisms and V = ½ × b × h × L for triangular prisms. For pyramids it uses V = ⅓ × l × w × h and V = ⅓ × s² × h.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are units handled in the answers?",{"text":117,"@type":113},"The directions require including units in each answer, matching the units given in the problem (inches, feet, centimeters, or meters).",{"name":119,"@type":110,"acceptedAnswer":120},"What does Problem 7 ask you to do?",{"text":121,"@type":113},"Problem 7 compares volumes of a rectangular prism and a rectangular pyramid with the same base and height, asking how much greater the prism’s volume is.","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},360047,1790646026,{"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":46,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39,"preview_page_count":4},1099523882367,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Name:     \nVolume—Word Problems (A)  \nRemember: Rectangular Prism / Cube: V = l × w × h Triangular Prism: V = ½ × b × h × L  \nRectangular Pyramid: V = ⅓ × l × w × h Square Pyramid: V = ⅓ × s² × h  \nDirections: Show all work. Include units in your answer.  \n1.) A rectangular storage bin is 12 inches long, 8 inches wide, and 5 inches tall. What is the volume of the bin?  \n2.) A ramp is shaped like a triangular prism. The right triangle cross-section has legs of 6 ft and 8 ft, and the ramp is 15 feet long. What is the volume of the ramp?  \n3.) A square pyramid has a base of 9 cm × 9 cm and a height of 8 cm. What is the volume of the pyramid?  \n4.) A rectangular fish tank has a volume of 3,600 cubic inches. The base measures 20 inches long and 15 inches wide. How tall is the tank?  \n5.) A rectangular pyramid has a base of 10 m × 6 m and a volume of 160 m³ .  \nWhat is the height of the pyramid?  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n6.) A triangular prism has a right triangle cross-section with legs of 5 cm and 4 cm. The volume is 180 cm³ . What is the length of the prism?  \n7.) A rectangular prism and a rectangular pyramid both have a base of 6 ft × 4 ft and a height of 9 ft. How much greater is the volume of the prism than the pyramid?  \n8.) Pool A is a rectangular prism 25 m long, 10 m wide, and 2 m deep. Pool B is a triangular prism whose legs are 10 m and 4 m, and whose length is 25 m.  \nWhich pool holds more water, and by how much?  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \n1.) V = 12 × 8 × 5 = 480 in³  \n2.) V = ½ × 6 × 8 × 15 = 24 × 15 = 360 ft³  \n3.) V = ⅓ × 9 × 9 × 8 = ⅓ × 648 = 216 cm³  \n4.) 3600 = 20 × 15 × h → 300h = 3600 → h = 3600 ÷ 300 = h = 12 in  \n5.) 160 = ⅓ × 10 × 6 × h → 20h = 160 → h = 160 ÷ 20 = h = 8 m  \n6.) 180 = ½ × 5 × 4 × L → 10L = 180 → L = 180 ÷ 10 = L = 18 cm  \n7.) V_prism = 6×4×9 = 216 ft³ . V_pyramid = ⅓×6×4×9 = 72 ft³ . 216 − 72 = 144 ft³ greater  \n8.) Pool A: V = 25×10×2 = 500 m³ . Pool B: V = ½×10×4×25 = 500 m³ = Same volume—both hold 500 m³  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCairIHxjjVleK1","https://ap.wps.com/l/cbCairIHxjjVleK1","pdf",3568384,"English","# Directions\n## Formulas and Variables\n## Practice Problems 1-8\n## Answer Key","[{\"question\":\"Which volume formulas are used in this worksheet?\",\"answer\":\"It uses V = l × w × h for rectangular prisms and V = ½ × b × h × L for triangular prisms. For pyramids it uses V = ⅓ × l × w × h and V = ⅓ × s² × h.\"},{\"question\":\"How are units handled in the answers?\",\"answer\":\"The directions require including units in each answer, matching the units given in the problem (inches, feet, centimeters, or meters).\"},{\"question\":\"What does Problem 7 ask you to do?\",\"answer\":\"Problem 7 compares volumes of a rectangular prism and a rectangular pyramid with the same base and height, asking how much greater the prism’s volume is.\"}]","Volume - Word Problems (A) - Solve practice questions | PDF",1790138591]