Find the volume of a triangular prism and cube | Geometry | Khan Academy

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  • Опубліковано 10 лют 2025
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    In this tutorial we'll practice finding solid geometry volume. Keep paper and pencil nearby in case you want to remember the formulas.
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    Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry.
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КОМЕНТАРІ • 102

  • @menelik1239
    @menelik1239 8 років тому +84

    Man, 55 minute lecture: wasted my time
    4 minute vid: understand everything
    Thanks helped me alot

    • @belflor
      @belflor 7 років тому +2

      Right!

    • @LTLingLing_Music
      @LTLingLing_Music 5 років тому +1

      SO FREAKIN TRUE MAN!

    • @Marsy_Warssy
      @Marsy_Warssy 4 роки тому

      The problem with class lessons is that the school makes them teach useless methods that are incredibly confusing even if the teachers know how to teach it in a better way, i could definantly learn all i needed from khan academy without confusion.

    • @Anikafrl
      @Anikafrl 3 роки тому +1

      shutup and go, prob took you 5 minutes to figure out how to spell lecture, just go you stuped 5 year old

    • @limecrewmate5393
      @limecrewmate5393 3 роки тому

      @@Anikafrl and lol, you called him 5 year old when literally you spelled stupid "stuped" lololol

  • @haleybritton7208
    @haleybritton7208 7 років тому +11

    Omg I'm glad I found this. During math we are learning this. This helped me. Understand it a little bit.

  • @sethnoto_1520
    @sethnoto_1520 2 роки тому +4

    Wow. Really amazing!! I love this!! This is gonna help me so
    much. Thank you !!

    • @paxtong6699
      @paxtong6699 2 роки тому +2

      Soo fascinating factor I needed this in life

  • @saulreyna72
    @saulreyna72 8 років тому +31

    Been struggling only with the triangular prism. Tomorrow I have a huge test of volume in geometry class.

  • @macfacts8236
    @macfacts8236 2 роки тому

    This video is so helpful, his voice makes me feel so good, and the way he used his words makes me understand this way more!

  • @unexplainedusername1705
    @unexplainedusername1705 2 роки тому

    my man's out here explaining this in 3 minutes when my maths teacher couldnt in 1 hour, thank you

  • @Crissix100
    @Crissix100 14 років тому +1

    @markgriz I suppose you could perform the division first here, but the way I did it is not "incorrect". There's no rule that says division before multiplication, and you don't necessarily proceed left to right. It depends on the presence of parentheses and the orientation of the notation. I chose to multiply first because the 2 was right up against the (9 + 3); if it had appeared as 48÷2 (9+3) or (48÷2)(9+3) maybe I'd have done it your way. The original question seems to have been ambiguous.

  • @Lakersfan122410
    @Lakersfan122410 8 років тому +7

    Thanku so much i really needed it i know how to do it but forget

  • @Anikafrl
    @Anikafrl 3 роки тому +1

    Thank you so much, this helped me a lot in a test that I didn't understand :)

  • @Cr1ticA
    @Cr1ticA 8 років тому +3

    This helped. Thanks!

  • @annettemokem
    @annettemokem 4 роки тому +2

    I was confused but at the End I understand how we do. the triangle

  • @TheBoysTopSecretisOrganization
    @TheBoysTopSecretisOrganization 11 місяців тому

    Wow. It's a miracle and it helped me.

  • @GraphiteWizard
    @GraphiteWizard 11 років тому +4

    OH MY GOODNESS THANK YOU SO MUCH!!!!

  • @mmmjhhh7422
    @mmmjhhh7422 3 роки тому +3

    Think about this the people who were commenting 8 years ago are now in college or are not in college but done with school 😳

  • @lazerwithaz3434
    @lazerwithaz3434 8 років тому +13

    when you realize nobody's looked at a video for 7 years... :-P

  • @markgriz
    @markgriz 14 років тому

    @Crissix100
    Incorrect
    48/2(9+3) = 48/2*(9+3) = 48/2*12 = 24*12 = 288
    multiplication and division are performed in order left to right.
    To get the answer of 2, you would have to perform the multiplcation 2*12 before doing the division,
    which is incorrect.

  • @debvath4159
    @debvath4159 7 років тому +4

    people in my darn math class are so distracting that it's hard to understand the lesson

  • @kylehallahan9615
    @kylehallahan9615 4 роки тому +1

    So basically you find the area of the base. Then you multiply that by the depth of the figure. That’s how you figure out the volume.

  • @domenikeyraud6965
    @domenikeyraud6965 11 років тому +1

    One word. PEMDAS. The order of operations js parenthesis, exponents, multiplication, division, adding, subtracting. Yes it is a rule fellow commenters. There's your calculus 4 for you.

  • @mohamedtb5729
    @mohamedtb5729 5 років тому +7

    I rather not go to school and just
    Watch these videos and learn math

  • @joellewyjackson1323
    @joellewyjackson1323 4 роки тому

    Thanks for the hint.☺☺☺

  • @dwarfgaming1120
    @dwarfgaming1120 2 роки тому

    Hey thank you this is amazing this is extremely fascinating

  • @apannu26
    @apannu26 4 роки тому +2

    Thank you

  • @Crissix100
    @Crissix100 14 років тому

    @markgriz I'm a calculus 4 student, I think I can do BEDMAS. When you've seen enough formulations you'll get a feel for whet they are supposed to mean. Example, in vector algebra A . B x C must be evaluated RIGHT to LEFT. Why? Because A . B is a scalar and you can't then cross a scalar with the vector C. The "up against" actually does matter if it means that we take 2(9 + 3) to be one term, which would be reasonable. The original formulation contained that ambiguity, enough said.

  • @markgriz
    @markgriz 14 років тому

    @Crissix100
    It most certainly is incorrect. There is no ambiguity in order of operations.
    You are correct that there is no rule that says division before multiplication.
    The rule is division and multiplication are equal precedence, and therefore
    are performed left to right.
    It doesn't matter that it was "up against" the parenthesis or not.
    That doesn't give it priority. Only what is *inside* the parentheses
    gets priority.
    Google "order of operations" if you have any doubt

  • @coolfirethegreat
    @coolfirethegreat 11 років тому

    people can use BEDMAS (brackets, instead of parentheses) or even BODMAS(operations, like square roots and exponents, not just exponents

  • @skan150190
    @skan150190 13 років тому

    @Azrhei You probably found it already, but the answer is ( khanacademy [dot] org/about/faq#equipment ): I use Camtasia Recorder ($200) + SmoothDraw3(Free) + a Wacom Bamboo Tablet ($80) on a PC. I used to use ScreenVideoRecorder($20) and Microsoft Paint (Free).

  • @Crissix100
    @Crissix100 14 років тому +1

    @jambanIT Here are the steps:
    48 / 2(9 + 3)
    48 / 2(12)
    48 / 24
    2
    Hope this helps :)

  • @OfficialArmaniJ
    @OfficialArmaniJ 9 років тому +9

    i got a 100% on my test

  • @theonlymasum
    @theonlymasum 12 років тому +2

    THANK YOU!

  • @imranashahwar1959
    @imranashahwar1959 2 місяці тому

    man ur amazing

  • @ImperialKnight770
    @ImperialKnight770 4 роки тому

    Does the 1/2 still cancel out if the answer is an odd number?

  • @lindseyjoforeman6273
    @lindseyjoforeman6273 10 років тому +2

    Dear Dude i am in 5th grade and have 2 tests tomorrow on volume of irregular figures and have not learned anything that i need to learn for my tests because my test have bookcases and stairs ect on my test and didnt find any vids of things like that on ur vids!! :'(

    • @lindseyjoforeman6273
      @lindseyjoforeman6273 10 років тому

      My tests have items that have to be spit into more than 1 shape please make another vid tonight on figures like this because its 9:20 pm now and i have school at 7 and need to study but dont have time please help!

    • @zhang.6136
      @zhang.6136 9 років тому

      +lindsey jo foreman so it's been a year.... How was your test? ;__;

    • @Coolsurf6
      @Coolsurf6 9 років тому

      +Adam Zhang LOL

    • @nazch7179
      @nazch7179 8 років тому +5

      2 years now... how was it?

    • @priscillamunoz3147
      @priscillamunoz3147 7 років тому

      Dang i didnt learn anything about this in 5th gradr

  • @divinem2433
    @divinem2433 3 роки тому

    SO WE IGNORE THE OTHER LENGTH ON THE SIDE OF THE PRISM (TRIANGULAR) ?
    THE ONE ON THE OTHER SIDE OF THE TRIANGLE??

  • @midgeamoo
    @midgeamoo 14 років тому

    @jambanIT thats the same as 48/2x12, or 48/24.
    So the answer is 2

  • @mileswadlinger9137
    @mileswadlinger9137 7 років тому +1

    thanks my geometry was to loud so the teacher couldnt be heard

  • @jambanIT
    @jambanIT 14 років тому

    @midgeamoo some of the people say that it is 288 hmm.. but i think the answer is 2 too

  • @ibesoggy
    @ibesoggy 7 років тому +2

    So, what's the full formula?

  • @d3vingodz79
    @d3vingodz79 6 років тому +1

    Devin Gao was here

  • @wil11liam
    @wil11liam 7 років тому +2

    I'm confused on how he got 1/2 . does it have anything to do with 3

    • @ngocvo9058
      @ngocvo9058 7 років тому

      The area of the triangle = 1/2*height*base

  • @Success.777
    @Success.777 7 років тому +1

    Don’t you have to find BXH area before you Do volume?

  • @shirleyh9800
    @shirleyh9800 5 років тому

    this is good

  • @25380421859
    @25380421859 14 років тому

    The answer is 288. You have to write it down, then you will see it.

  • @robinfan1488
    @robinfan1488 11 років тому +8

    TOOOOOO EASY

  • @jambanIT
    @jambanIT 14 років тому

    Sal, what does 48÷2(9+3) equals too? thanks.

  • @Crissix100
    @Crissix100 14 років тому +1

    @markgriz However, I do understand where you are coming from.

  • @Igolfallday
    @Igolfallday 8 років тому

    I have math exam tommorow

  • @ninapinglay2548
    @ninapinglay2548 4 роки тому +2

    these comments are so dry

  • @HorrorBroz
    @HorrorBroz 4 роки тому

    So what would be the formula

  • @OwenForscher
    @OwenForscher 5 років тому +2

    who here in 2020?

  • @techtalk3124
    @techtalk3124 6 років тому

    I dont get it, so for cube the answer is just 27

  • @daianad7164
    @daianad7164 2 роки тому +1

    11 years late

  • @naokibeaudettenagai8794
    @naokibeaudettenagai8794 10 років тому

    domenik its BEDMAS (brackets,exponent,divigion,mut,add,sub)

    • @johanshahrol7967
      @johanshahrol7967 8 років тому

      its BIDMAS(Brackets,Indices, Division,Multiplication,Addition,Subtraction)

    • @dannyal-hussein5828
      @dannyal-hussein5828 8 років тому

      Johan Shahrol or BODMAS

    • @nazch7179
      @nazch7179 8 років тому

      It's PEMDAS
      Parenthesis
      Exponents
      Multiplication
      Division
      Addition
      Subtraction

    • @kassie8901
      @kassie8901 7 років тому

      Naoki Beaudette Nagai I learned Please Excuse My Dear Aunt Sally ( but basically pemdas)

    • @depressedtiger677
      @depressedtiger677 4 роки тому

      @@johanshahrol7967 gemdas grouping exponents multiplication division addition subtraction

  • @naokibeaudettenagai8794
    @naokibeaudettenagai8794 10 років тому +1

    hmmmm

  • @calebbennett1437
    @calebbennett1437 7 років тому +5

    This dude is seriously not very good at explaining things. I'm glad you guys could get somthing out of this

  • @eXecuteD3101
    @eXecuteD3101 12 років тому

    Enable downloading, ! I dont always have acces to fucking Internet !

  • @aryabhanduth1566
    @aryabhanduth1566 5 років тому

    What half

  • @nazch7179
    @nazch7179 8 років тому

    400th like

  • @jojkjojk8131
    @jojkjojk8131 7 років тому

    I totally didn't understand

  • @asiaford9000
    @asiaford9000 4 роки тому

    Man dis video boring

    • @-MissSiri-
      @-MissSiri- 2 роки тому

      I can just tell you have a sibling and you’re laughing while sending this with your sibling beside you (possibly a younger sister). Trust me, I’ve seen all the sibling realities!
      Or you’re forced to watch this so you typed this message when your parents weren’t looking! Genius, am I right?

  • @sairausman2458
    @sairausman2458 6 місяців тому

    Thank you