{"id":899,"date":"2013-03-08t09:00:19","date_gmt":"2013-03-08t09:00:19","guid":{"rendered":"\/\/www.catharsisit.com\/sat\/?p=899"},"modified":"2015-04-15t23:17:38","modified_gmt":"2015-04-15t23:17:38","slug":"3d-geometric-objects-in-sat-math","status":"publish","type":"post","link":"\/\/www.catharsisit.com\/sat\/3d-geometric-objects-in-sat-math\/","title":{"rendered":"3d geometric objects in sat math"},"content":{"rendered":"<p>quick: how do you find the volume of a cylinder? do you know the formula?<\/p>\n<p>the sat will give it to you at the beginning of each math section, along with <a href=\"\/\/www.catharsisit.com\/sat\/important-sat-math-formulas-facts\/\">some other geometric facts,<\/a> but you should know them anyway. at least, you should be familiar with how you get those formulas.<\/p>\n<p>&nbsp;<\/p>\n<h2>start from 2d shapes<\/h2>\n<p>the area of a square is <img decoding=\"async\" src=\"\/\/www.catharsisit.com\/sat\/wp-content\/plugins\/wpmathpub\/phpmathpublisher\/img\/math_993.5_ce4af1ddbe29167df64559cb2f6e37e2.png\" style=\"vertical-align:-6.5px; display: inline-block ;\" alt=\"l*w\" title=\"l*w\"\/>. if you just add in the next dimension, you have the volume of a cube, <img decoding=\"async\" src=\"\/\/www.catharsisit.com\/sat\/wp-content\/plugins\/wpmathpub\/phpmathpublisher\/img\/math_993.5_05472f8c317cbd030449ebfdcc919abb.png\" style=\"vertical-align:-6.5px; display: inline-block ;\" alt=\"l*w*h\" title=\"l*w*h\"\/>.<\/p>\n<p>the same is true for any object that has two congruent 2d shapes at its ends, e.g. a cylinder or a prism. since a circle\u2019s area is <img decoding=\"async\" src=\"\/\/www.catharsisit.com\/sat\/wp-content\/plugins\/wpmathpub\/phpmathpublisher\/img\/math_993.5_47ae03a3d7b11ecd32d663acdcd76980.png\" style=\"vertical-align:-6.5px; display: inline-block ;\" alt=\"pi{r^2}\" title=\"pi{r^2}\"\/>, a cylinder\u2019s volume is that, multiplied by the other dimension. <img decoding=\"async\" src=\"\/\/www.catharsisit.com\/sat\/wp-content\/plugins\/wpmathpub\/phpmathpublisher\/img\/math_993.5_79ef3a88c2643b3d692c98a5e850cd61.png\" style=\"vertical-align:-6.5px; display: inline-block ;\" alt=\"pi{r^2}h\" title=\"pi{r^2}h\"\/>.<\/p>\n<p>if you\u2019re trying to find the distance between two points in a figure, start with the two dimensional shapes\u2014the faces of the object\u2014and find whatever measurements you can from there. and of course you should draw in any extra lines that the figure doesn\u2019t show. they, too, will be possible to work with as pieces of 2d shapes, like <a href=\"\/\/www.catharsisit.com\/sat\/sat-math-basics-triangles\/\">triangles<\/a>. they\u2019re easier to deal with.<\/p>\n<p>&nbsp;<\/p>\n<h2>remember the meaning of words describing 3d shapes<\/h2>\n<p>some questions prey on students who mix up vertexes, edges, and sides (or faces). don\u2019t fall for the sat\u2019s tricks! a side is a two dimensional shape. if you rolled the object on the ground, it could possibly stand on a side.<\/p>\n<p>compare that to an edge, which is where two sides meet. it\u2019s one-dimensional. think of the edge of a knife to help remember the word. a cube (like a die) rolled on the ground is pretty much <i>never<\/i> going to land on an edge.<\/p>\n<p>and a vertex is a single point with no dimensions. it\u2019s just another word for \u201ccorner.\u201d the tip of a cone is a vertex, for example.<\/p>\n<p>&nbsp;<\/p>\n<h2>just another geometry problem<\/h2>\n<p>most 3d shapes aren\u2019t much more difficult to deal with than their two dimensional counterparts, at least not mathematically. visualizing can be a little bit tricky, it\u2019s true, but don\u2019t freak out if you see a 3d shape. take it one dimension at a time.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>quick: how do you find the volume of a cylinder? do you know the formula? the sat will give it to you at the beginning of each math section, along with some other geometric facts, but you should know them anyway. at least, you should be familiar with how you get those formulas. &nbsp; start [&hellip;]<\/p>\n","protected":false},"author":42,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[91],"tags":[101,81],"ppma_author":[24883],"class_list":["post-899","post","type-post","status-publish","format-standard","hentry","category-all","tag-sat-geometry","tag-sat-math"],"acf":[],"yoast_head":"<!-- this site is optimized with the yoast seo premium plugin v21.7 (yoast seo v21.7) - 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