[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-638487-105":59,"doc-detail-638487-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-of-a-square-base-pyramid-worksheet-1","Volume of a Square Base Pyramid - Worksheet 1","","This document provides a structured mathematics practice worksheet for calculating the volume of square-based pyramids. It includes five distinct geometry problems requiring the application of the formula V = 1/3 * b^2 * h, where 'b' represents the base edge length and 'h' denotes the perpendicular height. The resource features both a student practice sheet with problem prompts and a corresponding answer key that demonstrates the step-by-step working, including unit conversions and rounding to two decimal places. Designed for academic reinforcement, this material supports learners in mastering spatial volume calculations through practical exercises involving various units of measurement, such as centimeters, inches, and meters.",{"@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-of-a-square-base-pyramid-worksheet-1/638487/",{"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-of-a-square-base-pyramid-worksheet-1/638487.png","ImageObject",300,407,{"name":92,"@type":93},"moss~","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the mathematical formula used to calculate the volume of a square-based pyramid?","Question",{"text":112,"@type":113},"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 vertical height of the pyramid.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the volumes rounded in the provided answer key?",{"text":117,"@type":113},"For calculations resulting in non-terminating decimals, the volumes are rounded to two decimal places for accuracy in the provided answer key.",{"name":119,"@type":110,"acceptedAnswer":120},"What units are used for the measurements in these exercises?",{"text":121,"@type":113},"The exercises utilize standard units of measurement including centimeters (cm), inches (in), and meters (m) for both base edges and heights.","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},638487,1792880443,{"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":81,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"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":24},962090895452,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","VOLUME OF A SQUARE BASE PYRAMID SHEET 1  \nUse the base edge and height measurements to find the volume of these square base pyramids.  \n\n| PYRAMID |  | WORKING OUT | VOLUME |\n| --- | --- | --- | --- |\n| 1) |  9 cm\u003Cbr>7 cm\u003Cbr>|  |  |\n| 2) |  5 in\u003Cbr>3 ½ in\u003Cbr>|  |  |\n| 3) | 4.5 m\u003Cbr>2.3 m\u003Cbr>|  |  |\n| 4) |  10 cm 7.6 cm\u003Cbr>|  |  |\n| 5) | 9 ½ in\u003Cbr>6 in\u003Cbr>|  |  |\n\nVOLUME OF A SQUARE BASE PYRAMID SHEET 1 ANSWERS  \nUse the base edge and height measurements to find the volume of these square base pyramids.  \n\n| PYRAMID |  |  | WORKING OUT | VOLUME |\n| --- | --- | --- | --- | --- |\n| 1) |  | 9 cm\u003Cbr>7 cm | Volume of a square base pyramid is 1∕3 b2 h = 1∕3 ∙ (7)2 ∙ 9 = 1∕3 ∙ 49 ∙ 9 = 1∕3 ∙ 441 = 147 So the volume is 147 cm3. | 147 cm3 |\n| 2) |  5 in\u003Cbr>3 ½ in\u003Cbr>|  | Volume of a square base pyramid is 1∕3 b2 h = 1∕3 ∙ (3 ½ )2 ∙ 5 = 1∕3 ∙ (49/4) ∙ 5 = 1∕3 ∙ (245/4)= 245/12 = 20.4166…\u003Cbr>So the volume is 20.42 in3 to 2 decimal places. | 20.42 in3\u003Cbr>to 2 decimal places |\n| 3) | 4.5 m\u003Cbr>2.3 m\u003Cbr>|  | Volume of a square base pyramid is 1∕3 b2 h = 1∕3 ∙ (2.3 )2 ∙ 4.5 = 1∕3 ∙ 5.29 ∙ 4.5 = 1∕3 ∙ 23.805 = 7.935\u003Cbr>So the volume is 7.94 m3 to 2 decimal places. | 7.94 m3\u003Cbr>to 2 decimal places. |\n| 4) |  10 cm 7.6 cm\u003Cbr>|  | Volume of a square base pyramid is 1∕3 b2 h = 1∕3 ∙ (7.6)2 ∙ 10 = 1∕3 ∙ 57.76 ∙ 10 = 1∕3 ∙ 577.6 = 192.533…\u003Cbr>So the volume is 192.53 cm3 to 2 decimal places. | 192.53 cm3\u003Cbr>to 2 decimal places. |\n| 5) | 9 ½ in\u003Cbr>6 in\u003Cbr>|  | Volume of a square base pyramid is 1∕3 b2 h = 1∕3 ∙ (6)2 ∙ (9 ½) = 1∕3 ∙ 36 ∙ 9 ½ = 1∕3 ∙ 342 = 114\u003Cbr>So the volume is 114 in3. | 114 in3 |","cbCaimvhh5QgtIx4","https://ap.wps.com/l/cbCaimvhh5QgtIx4","pdf",212122,"English","# Worksheet Exercises\n## Answer Key and Step-by-Step Solutions","[{\"question\":\"What is the mathematical 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 vertical height of the pyramid.\"},{\"question\":\"How are the volumes rounded in the provided answer key?\",\"answer\":\"For calculations resulting in non-terminating decimals, the volumes are rounded to two decimal places for accuracy in the provided answer key.\"},{\"question\":\"What units are used for the measurements in these exercises?\",\"answer\":\"The exercises utilize standard units of measurement including centimeters (cm), inches (in), and meters (m) for both base edges and heights.\"}]","Volume of a Square Base Pyramid - Worksheet 1 | PDF",1792683037]