{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2016-03-26T07:54:03+00:00","modifiedTime":"2016-03-26T07:54:03+00:00","timestamp":"2022-09-14T17:51:38+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Math","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33720"},"slug":"math","categoryId":33720},{"name":"Geometry","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33725"},"slug":"geometry","categoryId":33725}],"title":"Formulas for Geometric Solids Problems","strippedTitle":"formulas for geometric solids problems","slug":"formulas-for-geometric-solids-problems","canonicalUrl":"","seo":{"metaDescription":"Many formulas are associated with the study of three-dimensional shapes in geometry. Here, you find formulas for calculating the volume, surface area, and later","noIndex":0,"noFollow":0},"content":"<p>Many formulas are associated with the study of three-dimensional shapes in geometry. Here, you find formulas for calculating the volume, surface area, and lateral area of cylinders, cones, spheres, pyramids, cube, and rectangular prisms.</p>\n<h2 id=\"tab1\" >Cylinders</h2>\n<ul class=\"level-one\">\n <li><p class=\"first-para\">The lateral area of a cylinder equals</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476193.image0.png\" height=\"13\" alt=\"image0.png\" width=\"448\"/>\n </li>\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476194.image1.png\" height=\"17\" alt=\"image1.png\" width=\"535\"/>\n </li>\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476195.image2.png\" height=\"33\" alt=\"image2.png\" width=\"518\"/>\n </li>\n</ul>\n<h2 id=\"tab2\" >Cones</h2>\n<ul class=\"level-one\">\n <li><p class=\"first-para\">The lateral area equals</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476196.image3.png\" height=\"18\" alt=\"image3.png\" width=\"466\"/>\n </li>\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476197.image4.png\" height=\"21\" alt=\"image4.png\" width=\"526\"/>\n </li>\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476198.image5.png\" height=\"29\" alt=\"image5.png\" width=\"481\"/>\n </li>\n</ul>\n<h2 id=\"tab3\" >Spheres</h2>\n<ul class=\"level-one\">\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476199.image6.png\" height=\"21\" alt=\"image6.png\" width=\"265\"/>\n </li>\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476200.image7.png\" height=\"29\" alt=\"image7.png\" width=\"250\"/>\n </li>\n</ul>\n<h2 id=\"tab4\" >Square pyramids</h2>\n<ul class=\"level-one\">\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476201.image8.png\" height=\"29\" alt=\"image8.png\" width=\"477\"/>\n </li>\n</ul>\n<h2 id=\"tab5\" >Cubes</h2>\n<ul class=\"level-one\">\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476202.image9.png\" height=\"20\" alt=\"image9.png\" width=\"300\"/>\n </li>\n</ul>\n<h2 id=\"tab6\" >Rectangular prisms</h2>\n<ul class=\"level-one\">\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476203.image10.png\" height=\"17\" alt=\"image10.png\" width=\"152\"/>\n </li>\n</ul>","description":"<p>Many formulas are associated with the study of three-dimensional shapes in geometry. Here, you find formulas for calculating the volume, surface area, and lateral area of cylinders, cones, spheres, pyramids, cube, and rectangular prisms.</p>\n<h2 id=\"tab1\" >Cylinders</h2>\n<ul class=\"level-one\">\n <li><p class=\"first-para\">The lateral area of a cylinder equals</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476193.image0.png\" height=\"13\" alt=\"image0.png\" width=\"448\"/>\n </li>\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476194.image1.png\" height=\"17\" alt=\"image1.png\" width=\"535\"/>\n </li>\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476195.image2.png\" height=\"33\" alt=\"image2.png\" width=\"518\"/>\n </li>\n</ul>\n<h2 id=\"tab2\" >Cones</h2>\n<ul class=\"level-one\">\n <li><p class=\"first-para\">The lateral area equals</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476196.image3.png\" height=\"18\" alt=\"image3.png\" width=\"466\"/>\n </li>\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476197.image4.png\" height=\"21\" alt=\"image4.png\" width=\"526\"/>\n </li>\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476198.image5.png\" height=\"29\" alt=\"image5.png\" width=\"481\"/>\n </li>\n</ul>\n<h2 id=\"tab3\" >Spheres</h2>\n<ul class=\"level-one\">\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476199.image6.png\" height=\"21\" alt=\"image6.png\" width=\"265\"/>\n </li>\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476200.image7.png\" height=\"29\" alt=\"image7.png\" width=\"250\"/>\n </li>\n</ul>\n<h2 id=\"tab4\" >Square pyramids</h2>\n<ul class=\"level-one\">\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476201.image8.png\" height=\"29\" alt=\"image8.png\" width=\"477\"/>\n </li>\n</ul>\n<h2 id=\"tab5\" >Cubes</h2>\n<ul class=\"level-one\">\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476202.image9.png\" height=\"20\" alt=\"image9.png\" width=\"300\"/>\n </li>\n</ul>\n<h2 id=\"tab6\" >Rectangular prisms</h2>\n<ul class=\"level-one\">\n <li><p class=\"first-para\"> </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/476203.image10.png\" height=\"17\" alt=\"image10.png\" width=\"152\"/>\n </li>\n</ul>","blurb":"","authors":[{"authorId":8986,"name":"Allen Ma","slug":"allen-ma","description":" <p><b>Allen Ma </b>and<b> Amber Kuang </b>are math teachers at John F. 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Amber has taught all levels of math, from algebra to calculus, for 20 years.</p> ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8987"}}],"primaryCategoryTaxonomy":{"categoryId":33725,"title":"Geometry","slug":"geometry","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33725"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[{"label":"Cylinders","target":"#tab1"},{"label":"Cones","target":"#tab2"},{"label":"Spheres","target":"#tab3"},{"label":"Square pyramids","target":"#tab4"},{"label":"Cubes","target":"#tab5"},{"label":"Rectangular prisms","target":"#tab6"}],"relatedArticles":{"fromBook":[{"articleId":207513,"title":"Geometry: 1001 Practice Problems For Dummies Cheat Sheet","slug":"1001-geometry-practice-problems-for-dummies-cheat-sheet","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/207513"}},{"articleId":144555,"title":"Circle Basics for Geometry Problems","slug":"circle-basics-for-geometry-problems","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/144555"}},{"articleId":144556,"title":"Coordinate Geometry Formulas","slug":"coordinate-geometry-formulas","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/144556"}},{"articleId":144557,"title":"Geometry Practice Problems with Triangles and Polygons","slug":"geometry-practice-problems-with-triangles-and-polygons","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/144557"}},{"articleId":143422,"title":"Transformation Rules for Geometry Problems","slug":"transformation-rules-for-geometry-problems","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/143422"}}],"fromCategory":[{"articleId":230077,"title":"How to Copy an Angle Using a Compass","slug":"copy-angle-using-compass","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/230077"}},{"articleId":230072,"title":"How to Copy a Line Segment Using a Compass","slug":"copy-line-segment-using-compass","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/230072"}},{"articleId":230069,"title":"How to Find the Right Angle to Two Points","slug":"find-right-angle-two-points","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/230069"}},{"articleId":230066,"title":"Find the Locus of Points Equidistant from Two Points","slug":"find-locus-points-equidistant-two-points","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/230066"}},{"articleId":230063,"title":"How to Solve a Two-Dimensional Locus Problem","slug":"solve-two-dimensional-locus-problem","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/230063"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":281917,"slug":"geometry-1001-practice-problems-for-dummies-free-online-practice","isbn":"9781118853269","categoryList":["academics-the-arts","math","geometry"],"amazon":{"default":"https://www.amazon.com/gp/product/1118853261/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1118853261/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1118853261-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1118853261/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1118853261/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/geometry-1001-practice-problems-for-dummies-cover-9781118853269-193x255.jpg","width":193,"height":255},"title":"Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice)","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p><b data-author-id=\"8986\">Allen Ma</b> and <b data-author-id=\"8987\">Amber Kuang</b> are math teachers at John F. 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Formulas for Geometric Solids Problems

By: Allen Ma and Amber Kuang and

Updated: 03-26-2016

From The Book: Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice)

Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice)

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Many formulas are associated with the study of three-dimensional shapes in geometry. Here, you find formulas for calculating the volume, surface area, and lateral area of cylinders, cones, spheres, pyramids, cube, and rectangular prisms.

Cylinders

The lateral area of a cylinder equals

Cones

The lateral area equals

Spheres

Square pyramids

Cubes

Rectangular prisms

About This Article

This article is from the book:

Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice) ,

About the book authors:

Allen Ma and Amber Kuang are math teachers at John F. Kennedy High School in Bellmore, New York. Allen, who has taught geometry for 20 years, is the math team coach and a former honors math research coordinator. Amber has taught all levels of mathematics, from algebra to calculus, for the past 14 years.

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