Surface Area and Volume Review (Geometry)

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  • Опубликовано: 2 окт 2024
  • Learn How to Find Surface Area and Volume of 3 dimensional figures in this free math video tutorial by Mario's Math Tutoring. We will be discussing the formulas and how to use them for prisms, cylinders, pyramids, cones, and spheres.
    0:24 Finding Surface Area and Volume of Prisms & Cylinders
    0:25 Square Prism Example Finding Surface Area and Volume
    1:02 Formula for Finding Volume of a Prism and Cylinder
    1:55 Formula for Finding Surface Area of a Prism or Cylinder
    2:59 What is a Net and How to Draw to Help Find Surface Area
    4:07 Triangle Prism Example Finding the Volume and Surface Area
    6:44 Cylinder Example Finding the Volume and Surface Area
    9:27 Pyramids & Cones
    9:55 What is the Height and What is the Slant Height
    10:16 Formula for Volume of a Pyramid or Cone
    10:17 Example of a Square Pyramid Volume and Surface Area
    10:44 Explaining Why the Volume is 1/3 Volume of a Prism
    11:22 Example of Volume of a Right Cone
    12:09 Formula for the Surface Area of a Pyramid or Cone
    12:10 Example Finding the Surface Area of a Cone and Pyramid
    13:12 Explaining What Units to Use
    13:38 How to Find an Exact Answer Versus an Approximate Answer
    15:01 What is a Sphere
    15:16 Formula for Volume of a Sphere
    15:17 Example Finding the Volume of a Sphere
    15:55 Formula for Surface Area of a Sphere
    15:56 Example Finding Surface Area of a Sphere
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Комментарии • 284

  • @austyy.11
    @austyy.11 Год назад +101

    Its crazy how a video from 5 years ago is helping me understand this topic for my geometry assessment more than my notes...

    • @clm9601
      @clm9601 Год назад +6

      Ikr?! I am using this video as a last minute study help for a test cause my textbook does not teach me right.

    • @slick6118
      @slick6118 Год назад

      @@clm9601 I'm just reviewing before my EOC lol

    • @jxstalex_roblox8405
      @jxstalex_roblox8405 Год назад +1

      @@slick6118 how'd it go?

    • @kyleir-s2j
      @kyleir-s2j Год назад

      @@slick6118update us

    • @MarkRauchfuss-ro1ct
      @MarkRauchfuss-ro1ct 9 месяцев назад +1

      Math doesn't change with time.

  • @jakemellor8826
    @jakemellor8826 5 лет назад +303

    i appreciate u doing what my geo teacher cant

  • @farrenz3333
    @farrenz3333 3 года назад +72

    I got a big test tomorrow on this, wish me luck
    Update: I got an A let’s go

  • @staroc6069
    @staroc6069 3 года назад +66

    Thank you I’ve watched this for 11 hours straight doing a grade 10 math test your awesome thanks for the video this helped a lot. you did way more in 15 minutes then my teacher did in her whole course.

  • @furahairihose3103
    @furahairihose3103 7 лет назад +99

    We appreciate as students for your help this is really helpful for us you're doing good job we Thanksgiving for you.

    • @MariosMathTutoring
      @MariosMathTutoring  7 лет назад +9

      +Furaha Irihose your welcome.

    • @speen9430
      @speen9430 3 года назад +3

      @@MariosMathTutoring thank you so much, Your a really helpful person and god bless you

  • @mermumtaz5774
    @mermumtaz5774 5 лет назад +40

    U SAVED ME I HAD A MATH TEST TOMMOROW UR THE BEST

    • @MariosMathTutoring
      @MariosMathTutoring  5 лет назад +4

      Glad my video helped you Mer Mumtaz! Good luck on your test!

    • @whod0
      @whod0 2 года назад

      D..... H

  • @JSTN111
    @JSTN111 5 лет назад +44

    Thank you, my teacher isn’t the best so it’s nice to have you

    • @MariosMathTutoring
      @MariosMathTutoring  5 лет назад +7

      You’re welcome Justin! Glad my videos are helping you!

  • @lorvilleredenbacher8949
    @lorvilleredenbacher8949 4 года назад +23

    i feel like teachers often get it wrong when teaching these equations. they always go cubes (square) first, and it unravels into nuance from there. it'd be simple if they taught you triangles first IMO. reason being, you cant simply multiply two sides to figure out its perimeter like you can with a square. always created confusion when i was younger.

  • @joshtreola968
    @joshtreola968 5 лет назад +52

    just wanted to say you are saving my grades right now man, I really appreciate the videos.

    • @MariosMathTutoring
      @MariosMathTutoring  5 лет назад +12

      You’re welcome Josh! Glad to hear my videos are helping you!

    • @MoonGirl-my4zn
      @MoonGirl-my4zn Год назад +1

      Same, I was struggle so much to learn these and I have a test tom on it 😥

    • @joshtreola968
      @joshtreola968 Год назад +1

      @@MoonGirl-my4zn Hope it went well for you.

    • @MoonGirl-my4zn
      @MoonGirl-my4zn Год назад

      @@joshtreola968 It did, I also have number patterns and Finaical maths, but I think I am getting about 86% for it so good

  • @gracehutchinson1754
    @gracehutchinson1754 5 лет назад +24

    Thank you for teaching me the math my teacher never told me this whole school year. Now I won't fail my geometry EOC

  • @Conquiz
    @Conquiz 3 года назад +4

    Dang it’s kinda funny how a teacher from a RUclips video explains it way better then a real teacher I appreciate this 😂

  • @TheHuamantla
    @TheHuamantla 7 лет назад +7

    Thank you so much for your videos my kids enjoy you teaching methods!

    • @MariosMathTutoring
      @MariosMathTutoring  7 лет назад

      +Javier Navarro your welcome! Thanks for letting me know. I'm glad my videos are helping them.-Mario

  • @minecraftuniversal4627
    @minecraftuniversal4627 2 года назад +2

    bro you are a life saver i wish you were my math teacher

  • @untiedy
    @untiedy 5 месяцев назад +2

    thank you for actually being a good teacher

  • @iam5k2
    @iam5k2 4 года назад +2

    I get it.... i watched 3/4 of the video.. but i watched it full because my math teacher suddenly gave my classes the same vid. and i was like... "Oh ok i guess we're watching this again..."

  • @minniekingdaosaelai8705
    @minniekingdaosaelai8705 Год назад +1

    Thank u for teaching me your amazing !🎉even my math teacher can’t make me understand 😅

  • @fedex6180
    @fedex6180 2 года назад +2

    This video is probably one of the best tutorials I've ever watched! And while it earned a safe spot among the best shortcuts, I still do have a bedeviling problem that should be prioritized!
    It all about the formulas u stated;
    General Formulas for Prisms and Cylinders
    V = Bh, S.A= 2B + pH
    I spotted a cube-like shape as well as a regular cuboid there
    My teacher says, that the surface area of a cube is 6 times its length, and when I relate this formula with urs, I do come across with different results.
    By solving this question with both formulas, I think you'll get what I am talking about
    A CUBE HAS A LENGTH 5CM, CAL.
    1) IT'S SURFACE AREA
    2) LENGTH OF DIAGONAL
    3) VOLUME
    PS.
    Surface Area of a Cube - 6X² ( 6 times its length)
    Length of Diagonal - X√3 (where x= length)
    Volume - X³ (where x = length)

  • @reesac8290
    @reesac8290 3 года назад +4

    this is the best video to help you review on what you learnt at school thanks!

    • @staroc6069
      @staroc6069 3 года назад

      So I see a few people are on the same stuff as well hope you got a good mark bud

  • @tableforone5066
    @tableforone5066 3 года назад +1

    Jesus Christ man you really saved my skin

  • @AK__SINGH728
    @AK__SINGH728 3 года назад +1

    Sophisticeted it involves everything .

  • @gavinnagel1030
    @gavinnagel1030 5 лет назад +4

    Uve been quite a help this uear heading into my honors geometry final

  • @Chichiuba-y3n
    @Chichiuba-y3n 3 месяца назад +1

    It is crazy how a 5 year ago mathematics helps me

  • @gkmonet
    @gkmonet 4 года назад +8

    Oh my goodness, finally, I get it. Your video was amazing. I watched it several times to make sure I took good notes. Sometimes it takes the right teacher and you were certainly the right one. Thank you.

  • @AliAhmed-i2o
    @AliAhmed-i2o 9 месяцев назад +1

    Exactly according to me search 🙂😁🙂😁🙂😁

  • @Pao-s6m
    @Pao-s6m 4 месяца назад +1

    Youre so talented!!! IN A 16 MINUTE VIDEO I LEARNED WHAT MY TEACHER COULDNT TEACH IN MORE THAN 3 WEEKS! Thank you so much.

  • @masterjt8753
    @masterjt8753 6 лет назад +5

    This will help me soo much on my math test tommorow

    • @MariosMathTutoring
      @MariosMathTutoring  6 лет назад +2

      Ok great! Good luck tomorrow! Report back if you want and let us all know how you did!

    • @masterjt8753
      @masterjt8753 6 лет назад +1

      Mario's Math Tutoring I GOT AN A! 😁😁😁

    • @MariosMathTutoring
      @MariosMathTutoring  6 лет назад

      Awesome! Great job!

  • @loser3356
    @loser3356 3 года назад +1

    I almost failed 5th grade so I'm rlly trying to not get behind in middle school so this is kinda like a virtual summer school for me 😂

  • @harlowedwardsk6278
    @harlowedwardsk6278 Год назад +1

    Thank you so much for this, very very helpful!!! i appreciate your videos so much. thank you for taking time our of your life to help others succeed.

  • @FirstNameLastName-il8ev
    @FirstNameLastName-il8ev 3 года назад +3

    the second part where you kept jumping between the two questions instead of focusing on completing one (even jumping between steps during solving) got a little confusing, esp since you were going fast, but luckily its relatively simple and was able to understand. Otherwise, great video! Much appreciated mate :]

  • @realairlot
    @realairlot 9 дней назад

    Great video! I had one question though: I had a question on bluebook practice test #4 that utilizes a different formula for the surface area of a rectangular prism (#21 on the hard math section, the question being "Two identical rectangular prisms each have a height of 90 cm. The base of each prism is a square, and the surface area of each prism is K cm^2. If the prisms are glued together along a square base, the resulting prism has a surface area of 92/47 k cm^2. What is the side length, in cm, of each square base?"
    Additionally, will I also have to know other versions of alternate surface area formulas? Thanks in advance.

  • @wolferxv4553
    @wolferxv4553 4 года назад +1

    Mario knows math

  • @lilkanye7904
    @lilkanye7904 4 года назад +1

    Your the best man

  • @RishabhChaudharyy
    @RishabhChaudharyy 3 года назад

    Excellent teaching............love from INDIA 🇮🇳 🇮🇳 🇮🇳 🇮🇳

  • @kite8994
    @kite8994 3 года назад +1

    i have a math test in like an hour thank you for this

  • @kenpachicg
    @kenpachicg 5 месяцев назад

    I had not paid attention to geometry; Let alone this was in my sophomore year of high school. In the 2009-10 school year. This would have been a good video to have seen earlier as I had difficulty to find surface areas for a calc 1 quiz that had a question worth 18 points. All the quizzes in that class is out of 25 points.

  • @MoonGirl-my4zn
    @MoonGirl-my4zn Год назад +1

    I got given the first group and I could rember those, but I struggled so much to learn the other 3 so I thank you for grouping two of them

  • @iamcaprice1494
    @iamcaprice1494 3 года назад +1

    Thank you so much my test is in a few hours and i went through this video just before and literally helped me so much thank youuuu❤

  • @montserratlopez6603
    @montserratlopez6603 7 месяцев назад +1

    YOUR BEST MATH TEACHER ❤❤ this is better Than my School tutoring they Only Give Us 3:50pm -11:38pm

  • @gachapie.3264
    @gachapie.3264 3 года назад +1

    A live saver

  • @ARPalico
    @ARPalico Год назад

    my teacher explaining this for a week, and I still don't get it. This 16 mins video is all it took.

  • @b6santosxianysraela.734
    @b6santosxianysraela.734 3 года назад

    Super video! I applauded for ₱1,250.00 👏👏👏👏

  • @rwsbfdicreations289
    @rwsbfdicreations289 4 года назад +2

    Thank you, this video made it so much easier for me

  • @jin_cotl
    @jin_cotl Месяц назад

    13:56 omg I was right! I was right about it being surface area!

  • @natiadonay2104
    @natiadonay2104 Год назад +1

    160,000 students are gratefull!

  • @jin_cotl
    @jin_cotl Месяц назад

    13:12 The answer for volume was square instead of cubed, why didn’t Mario write S.A. (surface area) instead of V?

    • @realairlot
      @realairlot 9 дней назад

      pretty sure he miswrote, he meant surface area.

  • @chiken4065
    @chiken4065 Год назад

    I have my geometry test today and I need 90+ grade to pass the course wish me luck :(

  • @fatchunko
    @fatchunko Год назад

    Ad: Are the videos from 2002 really helping?
    Me: Yes they are!

  • @natej1958
    @natej1958 3 года назад

    Thank the Lord the beautiful man was made because without him I would not have done so good in geo

  • @davidgandy_alt2970
    @davidgandy_alt2970 4 месяца назад

    I appreciate you SO MUCH Mr. Mario thanks so much! 🙂❤️

  • @neartmisneach1482
    @neartmisneach1482 4 года назад +1

    You are a help to the world! Thank you!

  • @matthew.mehari_6448
    @matthew.mehari_6448 5 лет назад +1

    i watched this video too late a failed the test

  • @ChefSporty
    @ChefSporty Год назад

    so do i really need to memorize the formulas cause it seems like a lot

  • @b6santosxianysraela.734
    @b6santosxianysraela.734 3 года назад

    Super video! I applauded for ₱250.00 👏👏👏

  • @kaylitry
    @kaylitry 3 года назад +1

    wow helped me pass my very hard geometry unit!

  • @khushiraajput
    @khushiraajput 3 года назад

    Can you TELL what do the CSA AND TSA MEAN ?

  • @racquelsabesaje4562
    @racquelsabesaje4562 3 месяца назад

    if it square cannot be supported the other side become triangle

  • @nompumelelongobeni508
    @nompumelelongobeni508 2 года назад

    But don't we have to put base and height only when it is a triangle

  • @only1799
    @only1799 Год назад

    Finally understand what we were doing the past month

  • @sendek1
    @sendek1 4 месяца назад

    ITIS AMAZING HOW A VIDEO HELIPING ME AFTER 7 YEARS AGO

  • @AlSharifi503
    @AlSharifi503 Год назад

    Hi
    So the answer is 113.1 u3 ?
    Thank you

  • @mrtrolley9951
    @mrtrolley9951 5 лет назад +1

    Chinese teachers can’t teach learn more seeing this 20 minute video than the semester

    • @MariosMathTutoring
      @MariosMathTutoring  5 лет назад +2

      Glad my video helped you learn these math concepts quickly!

    • @mrtrolley9951
      @mrtrolley9951 5 лет назад

      It is study for my test again ain’t trying to fail again hope I pass if I pass thank you

  • @lux-ie7xq
    @lux-ie7xq 3 года назад

    Mario u should make a math book ur good at teaching this

  • @racquelsabesaje4562
    @racquelsabesaje4562 3 месяца назад

    if its square remove the up cover become pyramid

  • @racquelsabesaje4562
    @racquelsabesaje4562 3 месяца назад

    if its triangle move to the other side become cylinder

  • @malakrostom8521
    @malakrostom8521 3 года назад

    ty for your effort now I am gonna get my maths marks high

  • @MattBatistaVlogs
    @MattBatistaVlogs 3 года назад

    i have a test in 20 min. absolute life saver

  • @racquelsabesaje4562
    @racquelsabesaje4562 3 месяца назад

    if its pyramid remove two side each become cone

  • @rinisslime
    @rinisslime Год назад

    this video taught how to do this in 16 minutes... my math teacher couldn't even do it in 3 days, thank you for this amazing video!

  • @asiac562
    @asiac562 2 года назад

    this helped me so much my math grades are soooooo low

  • @gojosolos__
    @gojosolos__ 4 месяца назад

    I have my eoc in two days I hope I pass thank you

  • @Hotdog85432
    @Hotdog85432 5 месяцев назад

    Perimeter times height is sooo much faster than what I've been taught! Thanks!

  • @leihaihavu8091
    @leihaihavu8091 Год назад

    Thanks bro I really cannot express this teaching of yours, it really simplified version understand the explanation and
    how you put them. Bro continue you are
    doing a great job.💯💯💯💯❤️👍

  • @AK__SINGH728
    @AK__SINGH728 3 года назад +1

    👍👍👍

  • @amybsl
    @amybsl 5 месяцев назад

    loved this video!! it rlly helped me to understand the topic in a better way, thank u a lot

  • @donmoreno3430
    @donmoreno3430 5 лет назад +1

    Tomorrow is my math test and I’m grateful you were able to get me to remember the formulas

  • @sthembisomsimango
    @sthembisomsimango 2 года назад

    Nice,but man how to calculate the surface area when the cylinder is open on one base or on both bases

    • @MariosMathTutoring
      @MariosMathTutoring  2 года назад

      You can just subtract off the one or two circle areas depending on if it’s open on one end or both….hope that helps

  • @miakandula7640
    @miakandula7640 5 лет назад +1

    i have a math test tomorrow and this helped so much thank you

  • @nalinipk7781
    @nalinipk7781 2 года назад

    My name is Jani, I'm a 9th grade student (India)
    It's a really good class
    I understood everything
    Thank you sir

  • @racquelsabesaje4562
    @racquelsabesaje4562 3 месяца назад

    up cover support started either side or bottom

  • @ajo3470
    @ajo3470 Год назад

    I jus wanna say thx fr cuz my teacher won’t help me and u do 🙏🏾

  • @MaDMaX-nd8do
    @MaDMaX-nd8do 2 года назад

    Thank you so much this helped so much

  • @MsCankersore
    @MsCankersore 4 года назад

    bro seriously, why don't you explain why on god's green you didn't use the 5, seeing how it's part of the triangle

  • @Taco_muncher
    @Taco_muncher Год назад

    Using this to study for my test 🙏🙏🙏

  • @zynahzeeshanzafar1000
    @zynahzeeshanzafar1000 Год назад

    man i go to tuition and ngl ur better tutor

  • @he2830
    @he2830 4 года назад

    Thank you so much omg. I take online school and this stuff is confusing im not really good at teaching myself now I get it thank you :)

  • @maythetnaing1822
    @maythetnaing1822 2 месяца назад

    thank u so much sir for making this video and clarification.

  • @pugiscracked1761
    @pugiscracked1761 5 месяцев назад

    anyone from geometry 8? w vid

  • @racquelsabesaje4562
    @racquelsabesaje4562 3 месяца назад

    if its remove two sides become sphere

  • @mjones1538
    @mjones1538 3 года назад

    2x speed, intellectuals only

  • @AdenRodriguez-fo4ju
    @AdenRodriguez-fo4ju 4 месяца назад

    My eoc is tomorrow this helped too much thank you hope I get a 3

  • @redroseforyou4209
    @redroseforyou4209 4 года назад

    On the V of the triangle prism tobget the area of the triangle how do you know for sure which leg of the triangle is the base and height if there isn't a right triangle?

  • @ChiragSonne
    @ChiragSonne 2 года назад

    Thank You for helping me Mr.Mario I am doing geometry it is based on my Math GED I am working and trying make very good grades. It helps me to improve.😀🙂

  • @madlad4
    @madlad4 3 года назад

    sir, I would like to inform you how much help you are, I would have been dead without this, thank you Mr.Mario.

  • @Delighted_Rose
    @Delighted_Rose 2 года назад

    what is the different between area , total surface area and surface area?

  • @aayushmaan6951
    @aayushmaan6951 3 года назад

    you are.... er jonny s. right?

  • @iclemencesarahvibes6823
    @iclemencesarahvibes6823 3 года назад

    Thanks for helping! May I know at 15:54 how exactly did you (3)3 because I don’t see how the three suddenly appeared there

    • @b.c.9300
      @b.c.9300 3 года назад

      I don't know if this will help you now but, the big 3 is the r shown in the formula and the little 3 is just cubed. Which gives him 27. (Sorry if you didn't need help anymore.)

  • @baked.potato1
    @baked.potato1 4 месяца назад

    mario u cooked with this one

  • @dinaabdulnaser5475
    @dinaabdulnaser5475 5 лет назад +1

    you are awesome man .... many thanks

  • @racquelsabesaje4562
    @racquelsabesaje4562 3 месяца назад

    2x16=32 10x4=40x4=160 + 32= 192

  • @shimada7827
    @shimada7827 3 года назад

    You're simply a god