[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-297533-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-297533-en":131},{"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","surface-area-worksheet-answers","Surface Area Worksheet Answers","","Surface Area Worksheet Answers provides definitions, geometric shape descriptions, and worked solutions for calculating lateral surface area (LSA) and total surface area (TSA) of common 3D figures. It explains how to identify bases, sides, top, and bottom of solids, then covers cuboids, cubes, prisms, and cylinders with the relevant surface-area equations. The worksheet includes step-by-step problem solving for a right rectangular prism, a cube volume derivation from surface area, a cubic prism, a right triangular prism, and a cylinder, reporting results in both square and cubic units as shown.",{"@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/surface-area-worksheet-answers/297533/",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/surface-area-worksheet-answers/297533.png","ImageObject",300,407,{"name":42,"@type":43},"River Wang","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-29","2026-09-18",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",14,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What is lateral surface area (LSA) and how is it measured?","Question",{"text":63,"@type":64},"Lateral surface area is the area of all sides of a 3D object excluding the base and top sides. Its units are squared (x2).","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do you calculate the total surface area (TSA) of a right rectangular prism?",{"text":68,"@type":64},"Use TSA = base perimeter × height + 2 × (area of base). For dimensions 4 in, 5 in, and 6 in, the answer shown is 148 in2 (955 cm2).",{"name":70,"@type":61,"acceptedAnswer":71},"How do you find the surface area of a cylinder in the worksheet?",{"text":72,"@type":64},"The worksheet uses TSA = 2πr(r + h) and substitutes the given radius and height values. It approximates using π ≈ 3.14 and reports a final surface area value.","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},297533,1789745465,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":80,"read_time":96},1099514067438,"https://ap-avatar.wpscdn.com/avatar/100002539ee87300030?x-image-process=image/resize,m_fixed,w_180,h_180&k=1780474512215547542","Surface Area Worksheet Answers  \nIf a rectangular box is opened:  \n1,2 = base or ends  \n3,5 = sides  \n4 = bottom or floor  \n6 = top or ceiling  \n\n| Shape | Lateral Surface Area (LSA) | Total Surface Area (TSA) |\n| --- | --- | --- |\n| Cuboid | 2height(length + base) | 2(lb + bh + lh)=2Bh + (perimeter)(height) |\n| Cube | 4a2 | 6a2 |\n| Prism | Base perimeter × Height | LSA + 2 (area of one end) |\n| Cylinder | 2πrh | 2πr(r + h) |\n\n1. Define the following terms:  \na. lateral surface area-surface area for all sides of a 3D object excluding the base and topsides; part of prism that are not the bases; units are squared (x2)  \n[b. total](b. total) surface area-measure of the total area that the surface of a 3D object occupies; units are squared (x2)  \nc. two-dimensional (2D) -flat object having the dimensions of width (x) and height (y) only  \nd. three-dimensional (3D) -solid object with dimensions of width (x), height (y) and depth (z)  \n2. Draw the geometric shapes for the following objects:  \na. cuboid-3D box-shaped object; has six rectangular faces at right angles to each other; sometimes called a rectangular prism because it has the same cross-section along a length  \nb. cube-3D solid; symmetrical three-dimensional shape with six equal squares  \nc. prism-3D solid; same shape at beginning and end (ex. rectangle or triangle) with each end referred to as bases; bases are separated by a height  \nd. cylinder-3D solid; has two equivalent round shapes at either end and two parallel lines connecting the round ends; has 1 curved side but no corners  \nShow the equation and solving of the following problems:  \n3. The dimensions of a right rectangular prism are 4 inches by 5 inches by 6 inches. What is the surface area, in square inches, of the prism?  \nS.A. = Base Perimeter x Height + 2 (Area of Base)  \nS.A. = (4+4+5+5) x (6) + 2 (4x5) Answer = 148 in2 (955cm2)  \n4. A cube has a surface area of 54 square meters. What is the volume, in cubic meters, of the cube?  \n6A = 54 square meters (m2) A = 54 m2 /6  \nA = 9 m2  \nA = l x w where for a cube, l = w = h A = l2 = 9 m2  \nl = square root of 9  \nl = w = h = 3 meter per side  \nV= l x w x h  \nV= 3m x 3m x 3m =27m3  \n5. A cubic prism has the dimensions of 4 inches by 4 inches and a height of 10in. What is the surface area?  \nS.A. = 2B + (perimeter)(height) = 2(4 x 4) + (4 x 4) (10) = 2(16) + (16)(10) = 32in2 +160in2 = 192in2 (1239cm2)  \n6. Find the surface area of a right triangular prism with a sides of 3in. x 4in. x 5in. and a height of 12in.  \nS.A. = 2B + (perimeter)(height) = 2(1/2bh) + ph = 2(1/2 x 3 x 4) + (3+4+5)(12) = 12 + (12)(12) = 156in2 ( 1006cm2)  \n7. What is the surface area of a cylinder with a radius of 3in. and a height of 6in.?  \nS.A. = 2πr(r + h) = 2 (3 . 14)(3) x (3+6)  \nS.A. ≈ (169 in2)","cbCainbsVPLaNVyO","https://ap.wps.com/l/cbCainbsVPLaNVyO","pdf",229963,"English","# Key definitions\n# Geometric shape descriptions\n# Worked problems and equations\n## Right rectangular prism\n## Cube volume from surface area\n## Cubic prism surface area\n## Right triangular prism surface area\n## Cylinder surface area","[{\"question\":\"What is lateral surface area (LSA) and how is it measured?\",\"answer\":\"Lateral surface area is the area of all sides of a 3D object excluding the base and top sides. Its units are squared (x2).\"},{\"question\":\"How do you calculate the total surface area (TSA) of a right rectangular prism?\",\"answer\":\"Use TSA = base perimeter × height + 2 × (area of base). For dimensions 4 in, 5 in, and 6 in, the answer shown is 148 in2 (955 cm2).\"},{\"question\":\"How do you find the surface area of a cylinder in the worksheet?\",\"answer\":\"The worksheet uses TSA = 2πr(r + h) and substitutes the given radius and height values. It approximates using π ≈ 3.14 and reports a final surface area value.\"}]","Surface Area Worksheet Answers | PDF"]