[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-638488-105":3,"doc-detail-638488-en":81,"detail-sidebar-cat-0-en-105":96},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","volume-of-a-square-base-pyramid-sheet-2","Volume of a Square Base Pyramid - Sheet 2","","This educational resource provides a structured practice sheet for calculating the volume of square-based pyramids. It includes five distinct geometry problems, requiring students to apply the volume formula, V = 1/3 * b^2 * h, using given base edge and perpendicular height measurements in both metric and imperial units. The document features a comprehensive answer key that demonstrates the step-by-step working-out process for each problem, including the conversion of fractions to decimals and rounding results to two decimal places where appropriate. It serves as an essential tool for students to master three-dimensional geometric calculations and volume unit conversion, offering clear, methodical examples to facilitate independent learning and mathematical practice.",{"@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/volume-of-a-square-base-pyramid-sheet-2/638488/",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/volume-of-a-square-base-pyramid-sheet-2/638488.png","ImageObject",300,407,{"name":42,"@type":43},"moss~","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-31","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What is the formula used to calculate the volume of a square-based pyramid?","Question",{"text":63,"@type":64},"The volume of a square-based pyramid is calculated using the formula V = 1/3 * b^2 * h, where 'b' is the length of the base edge and 'h' is the perpendicular height.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How should the answers be formatted in these exercises?",{"text":68,"@type":64},"The answers should be calculated using the formula and provided to two decimal places where appropriate, as specified in the instructions.",{"name":70,"@type":61,"acceptedAnswer":71},"What units are used for the measurements in this exercise sheet?",{"text":72,"@type":64},"The exercises use both metric units (centimeters, cm^3) and imperial units (inches, in^3) for the dimensions and volume calculations.","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},638488,1792897808,{"code":4,"msg":82,"data":83},"success",{"doc_id":79,"user_id":84,"nickname":42,"user_avatar":85,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":86,"file_id":87,"file_url":88,"file_type":89,"file_size":90,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":91,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":92,"faqs":93,"seo_title":94,"seo_description":12,"update_tm":95,"read_time":55},962090895452,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","VOLUME OF A SQUARE BASE PYRAMID SHEET 2  \nUse the base edge and perpendicular height measurements to find the volume of these square base pyramids. Give your answers to 2 decimal places where appropriate.  \n\n| PYRAMID |  |  | WORKING OUT | VOLUME |\n| --- | --- | --- | --- | --- |\n| 1) |  | 12 cm\u003Cbr>8 ½ cm |  |  |\n| 2) | 4 ¾ in\u003Cbr> 9 in\u003Cbr>|  |  |  |\n| 5 cm 11 cm 3)\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>8.5 cm |  |  |  |  |\n| 4) |  7.8 cm\u003Cbr>3.6 cm\u003Cbr>|  |  |  |\n| 5) | \u003Cbr>10 ½ in 12 in\u003Cbr>9 in\u003Cbr>|  |  |  |\n\nVOLUME OF A SQUARE BASE PYRAMID SHEET 2 ANSWERS  \n\n| PYRAMID |  |  | WORKING OUT | VOLUME |\n| --- | --- | --- | --- | --- |\n| 1) |  | 12 cm\u003Cbr>8 ½ cm | Volume of a square base pyramid is 1∕3 b2 h = 1∕3 ∙ (8 ½ )2 ∙ 12 = 1∕3 ∙ (289/4) ∙ 12 = 1∕3 ∙ 867 = 289\u003Cbr>So the volume is 289 cm3. | 289 cm3. |\n| 2) | 4 ¾ in\u003Cbr> 9 in\u003Cbr>|  | Volume of a square base pyramid is 1∕3 b2 h = 1∕3 ∙ (4 ¾ )2 ∙ 9 = 1∕3 ∙ (361/16) ∙ 9\u003Cbr>= 1∕3 ∙ (3249/16) = 1083/16 = 67.6875 So the volume is 67.69 in3 to 2 decimal places. | 67.69 in3\u003Cbr>to 2 decimal places |\n| 5 cm 11 cm\u003Cbr>3)\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>8.5 cm |  |  | In this case, the base edge is 5cm and the perpendicular height is 8.5 cm.\u003Cbr>Volume of a square base pyramid is 1∕3 b2 h = 1∕3 ∙ (5)2 ∙ 8. 5 = 1∕3 ∙ 25 ∙ 8. 5 = 1∕3 ∙ (425/2)= 425/6 = 70.8333…\u003Cbr>So the volume is 70.83 cm3 to 2 decimal places. | 70.83 cm3 to 2 decimal places. |\n| 4) |  7.8 cm\u003Cbr>3.6 cm\u003Cbr>|  | Volume of a square base pyramid is 1∕3 b2 h = 1∕3 ∙ (3.6)2 ∙ 7.8 = 1∕3 ∙ 12.96 ∙ 7.8\u003Cbr>= 1∕3 ∙ 101.088 = 33.696\u003Cbr>So the volume is 33.70 cm3 to 2 decimal places. | 33.70 cm3\u003Cbr>to 2 decimal places. |\n| 5) | \u003Cbr>10 ½ in 12 in\u003Cbr>9 in\u003Cbr>|  | In this case, the base edge is 9 inches and the perpendicular height is 10 ½ inches.\u003Cbr>Volume of a square base pyramid is 1∕3 b2 h = 1∕3 ∙ (9)2 ∙ (10 ½) = 1∕3 ∙ 81 ∙ 10 ½\u003Cbr>= 1∕3 ∙ (1701/2) = 567/2 = 283.5\u003Cbr>So the volume is 283.5 in3. | 283.5 in3 |","cbCaivzIzBKDxfd6","https://ap.wps.com/l/cbCaivzIzBKDxfd6","pdf",235692,"English","# Volume Practice Problems\n## Answer Key and Step-by-Step Solutions","[{\"question\":\"What is the formula used to calculate the volume of a square-based pyramid?\",\"answer\":\"The volume of a square-based pyramid is calculated using the formula V = 1/3 * b^2 * h, where 'b' is the length of the base edge and 'h' is the perpendicular height.\"},{\"question\":\"How should the answers be formatted in these exercises?\",\"answer\":\"The answers should be calculated using the formula and provided to two decimal places where appropriate, as specified in the instructions.\"},{\"question\":\"What units are used for the measurements in this exercise sheet?\",\"answer\":\"The exercises use both metric units (centimeters, cm^3) and imperial units (inches, in^3) for the dimensions and volume calculations.\"}]","Volume of a Square Base Pyramid - Sheet 2 | PDF",1792683037,{"code":4,"msg":82,"data":97},[98,102,106,109,113,118,123,128,133,136,140],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":99,"show_sort_weight":100,"slug":101},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":103,"show_sort_weight":104,"slug":105},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":107,"slug":108},70,"exam",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":110,"show_sort_weight":111,"slug":112},"Comic",60,"comic",{"id":114,"doc_module":4,"doc_module_name":25,"category_name":115,"show_sort_weight":116,"slug":117},6,"Technology",50,"technology",{"id":119,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":121,"slug":122},7,"Healthcare",40,"healthcare",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":126,"slug":127},8,"Research & Report",30,"research-report",{"id":129,"doc_module":4,"doc_module_name":25,"category_name":130,"show_sort_weight":131,"slug":132},9,"Religion & Spirituality",20,"religion-spirituality",{"id":131,"doc_module":4,"doc_module_name":25,"category_name":134,"show_sort_weight":131,"slug":135},"World Cup","world-cup",{"id":137,"doc_module":4,"doc_module_name":25,"category_name":138,"show_sort_weight":137,"slug":139},10,"Lifestyle","lifestyle",{"id":141,"doc_module":4,"doc_module_name":25,"category_name":142,"show_sort_weight":55,"slug":143},19,"General","general"]