{"id":84,"date":"2020-03-23T05:20:00","date_gmt":"2020-03-23T09:20:00","guid":{"rendered":"https:\/\/iblog.dearbornschools.org\/karazimintervention\/?p=84"},"modified":"2020-03-14T19:47:50","modified_gmt":"2020-03-14T23:47:50","slug":"envision-11-2-assignment","status":"publish","type":"post","link":"https:\/\/iblog.dearbornschools.org\/karazimintervention\/2020\/03\/23\/envision-11-2-assignment\/","title":{"rendered":"Envision 11-2 Assignment"},"content":{"rendered":"\n

In this lesson you will be expected to calculate the volume of a prism and a cylinder.<\/p>\n\n\n\n

Here are the formulas for quick reference:<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Let’s break this down a little bit.<\/p>\n\n\n\n

First, volume<\/strong> is the measure of how much space there is inside of something, in this case a prism type shape. You can think of a prism <\/strong>as a 2D shape that is stretched to make a 3D version of itself. Look at the triangular prism as an example. <\/p>\n\n\n\n

To calculate volume, we multiply<\/strong> all 3 measurements, height or depth, width, and length<\/strong>. Sometimes, a shape doesn’t have an easy width and length like a circle, so we can also think of the calculation of volume as the area<\/strong> of the 2D shape times <\/strong>the height <\/strong>of the 3D prism. Since volume is found by multiplying 3 dimensions together, the units are to the third power or what we called cubed. <\/p>\n\n\n\n

To recap, the volume of a rectangular prism is its length times width times height.<\/p>\n\n\n\n

The volume of a triangular prism is one-half times its base (which is really its length) times its height.<\/p>\n\n\n\n

The volume of a cylinder is pi times the radius of the circle squared (times itself) times the height. Remember pi is about 3.14 if you don’t have a pi button on your calculator. Also, if you are given the diameter of the circle, you need to divide that number by 2 (cut it in half) in order to have the radius \ud83d\ude09 <\/p>\n\n\n\n

\"\"<\/p>\n\n\n\n

So, where did some shape’s area formulas come from? That’s a great question. I’m so glad you asked. Let’s look at the triangle<\/strong>. To calculate the area of a 2D triangle, it is 1\/2 times the base length times the height. Well, when we are calculating area, length times height should sound familiar. But, where does the 1\/2 come from? Think about this. If we had a rectangle, the area would be just the length times the height. How does a triangle relate to a rectangle? It’s half! <\/p>\n\n\n\n

\"\"<\/figure><\/div>\n\n\n\n

So, to find the area of a triangle it’s 1\/2 the area of what the rectangle would be. <\/p>\n\n\n\n

<\/p>\n\n\n\n

Please complete the Do You Understand, Do You Know How sections and the lesson quiz by 11:59 on Wednesday, March 25. <\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

In this lesson you will be expected to calculate the volume of a prism and a cylinder. Here are the formulas for quick reference: Let’s break this down a little bit. First, volume is the measure of how much space there is inside of something, in this case a prism type shape. You can think […]<\/p>\n","protected":false},"author":1954,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-84","post","type-post","status-publish","format-standard","hentry","category-blogs"],"_links":{"self":[{"href":"https:\/\/iblog.dearbornschools.org\/karazimintervention\/wp-json\/wp\/v2\/posts\/84","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/iblog.dearbornschools.org\/karazimintervention\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/iblog.dearbornschools.org\/karazimintervention\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/iblog.dearbornschools.org\/karazimintervention\/wp-json\/wp\/v2\/users\/1954"}],"replies":[{"embeddable":true,"href":"https:\/\/iblog.dearbornschools.org\/karazimintervention\/wp-json\/wp\/v2\/comments?post=84"}],"version-history":[{"count":0,"href":"https:\/\/iblog.dearbornschools.org\/karazimintervention\/wp-json\/wp\/v2\/posts\/84\/revisions"}],"wp:attachment":[{"href":"https:\/\/iblog.dearbornschools.org\/karazimintervention\/wp-json\/wp\/v2\/media?parent=84"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/iblog.dearbornschools.org\/karazimintervention\/wp-json\/wp\/v2\/categories?post=84"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/iblog.dearbornschools.org\/karazimintervention\/wp-json\/wp\/v2\/tags?post=84"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}