How to Find the Volume of a Rectangular Prism and Composite figures - By tecmath
Transcript
| 00:00 | this video is just some problems new with volume . | |
| 00:04 | The problems here , Organ or relate to just working | |
| 00:07 | at the volumes of some different human shapes . For | |
| 00:10 | the first one here , there's a nice little rectangular | |
| 00:13 | prism , Which means it's 5.9 m by 3.6 m | |
| 00:18 | by 0.3 . Now , like anything , the first | |
| 00:21 | thing I'd do is draw these down so the volume | |
| 00:23 | equals length times with type . So the volume here | |
| 00:27 | is going to equal 3.6 m times five point nine | |
| 00:32 | m by 0.3 m , Which gives us a volume | |
| 00:35 | of 6.37 m . Uh huh . To get a | |
| 00:40 | little bit more complex is going to be looking at | |
| 00:42 | say something like this here . Working at the volume | |
| 00:44 | of this path here As you're going to see the | |
| 00:46 | path as a bit of 1.2 m all the way | |
| 00:49 | around but it goes off in different directions . It | |
| 00:52 | also has a depth for the concrete . 0.3 . | |
| 00:57 | So how would you go about working this out ? | |
| 01:00 | We don't recommend like when we do work with composite | |
| 01:03 | rectangles and shapes a little bit earlier . What we'll | |
| 01:06 | have to do is break these up individual bids . | |
| 01:08 | So one of the bits we're gonna break off , | |
| 01:10 | first of all , you'll see right now , it's | |
| 01:15 | right here . So I work with this . It | |
| 01:23 | measures 1.2 , x 2.4 , So , and we | |
| 01:30 | work out the volume of this particular bit . Well | |
| 01:32 | , we just multiply these all together . So the | |
| 01:35 | volume , it was 2.4 times 1.2 times 0.3 . | |
| 01:40 | Which for this little section is going to be called | |
| 01:43 | 0.864 and then we'll break another little piece down . | |
| 01:50 | Okay , here's a little piece just here that's going | |
| 01:53 | to measure 3.6 m by 1.2 x 0.3 m . | |
| 01:58 | How do you work at the volume again ? Well | |
| 02:00 | you multiply these all together as well , so volume | |
| 02:02 | equals 3.6 x 1.2 0.3 m which gives an answer | |
| 02:09 | . 1.296 m Cube . Okay , so we worked | |
| 02:15 | at the top . It we worked at the bottom | |
| 02:17 | bit just leaves us a little bit in the middle | |
| 02:19 | here . They were good at unknown side here . | |
| 02:21 | So to work it out , We're going to have | |
| 02:23 | to get that 4.4 m and take away 1.2 m | |
| 02:27 | . No us that side length there . Sorry , | |
| 02:31 | that gives us little rectangle . We're going to work | |
| 02:33 | out in the middle there . Okay , that measures | |
| 02:36 | 3.2 , by 0.3 Multiply those together , we get | |
| 02:40 | 1.152 m cube . So you work at the total | |
| 02:44 | volume . We just had all these little volumes together | |
| 02:47 | . Okay , Adding them up , we get 3.312 | |
| 02:51 | m cube . So when you remember all , you | |
| 02:54 | need to remember this mainly to work out volumes , | |
| 02:57 | its length , times width , times height . When | |
| 03:00 | you're working with the composite sort of shapes like this | |
| 03:04 | , just break them into a little bit you can | |
| 03:05 | work with and work out the volumes and then add | |
| 03:08 | these bits together . Okay , good luck with that | |
| 03:11 | by |
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How to Find the Volume of a Rectangular Prism and Composite figures is a free educational video by tecmath.
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