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<blockquote data-quote="MF135" data-source="post: 846176" data-attributes="member: 14057"><p>Wow. I can't believe I've always just assumed a 5x6 was 1.5X a 4x5 as 30 is 1.5 of 20. But... Duh, calculating surface area doesn't cut it. To compare, you have to calculate the VOLUME of the cylindrical prism. </p><p></p><p>V= pi x r^2 x h </p><p></p><p>For a 5 x 6</p><p>V= 3.14 x (2.5^2) x 6 = 3.14 x 6.25 x 6 = 117.25 cubic ft </p><p></p><p>For a 4 x 5</p><p>V= 3.14 x (2^2) x 5 = 3.14 x 4 x 5 = 62.8 cubic ft</p><p></p><p>Thanks, Bill! :clap: </p><p> <a href="http://illuminations.nctm.org/LessonDetail.aspx?id=L783" target="_blank">http://illuminations.nctm.org/LessonDetail.aspx?id=L783</a></p></blockquote><p></p>
[QUOTE="MF135, post: 846176, member: 14057"] Wow. I can't believe I've always just assumed a 5x6 was 1.5X a 4x5 as 30 is 1.5 of 20. But... Duh, calculating surface area doesn't cut it. To compare, you have to calculate the VOLUME of the cylindrical prism. V= pi x r^2 x h For a 5 x 6 V= 3.14 x (2.5^2) x 6 = 3.14 x 6.25 x 6 = 117.25 cubic ft For a 4 x 5 V= 3.14 x (2^2) x 5 = 3.14 x 4 x 5 = 62.8 cubic ft Thanks, Bill! :clap: [url=http://illuminations.nctm.org/LessonDetail.aspx?id=L783]http://illuminations.nctm.org/LessonDetail.aspx?id=L783[/url] [/QUOTE]
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