Surface Area and Volume Review (Geometry)

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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[@austyy.11]

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

[@clm9601]

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

[@slick6118]

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

[@jxstalex_roblox8405]

@@slick6118 how'd it go?

[@kyleir-s2j]

@@slick6118update us

[@MarkRauchfuss-ro1ct]

Math doesn't change with time.

[@staroc6069]

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.

[@jakemellor8826]

i appreciate u doing what my geo teacher cant

[@MariosMathTutoring]

Glad my video helped you Jake!

[@nica_bb2751]

Geo???

[@Al.M_IndoCan]

@@nica_bb2751 geo meaning geometry...

[@iamcaprice1494]

@@ahmednisar2359 he meant geometric 😭😂

[@siege6876]

@@Al.M_IndoCan he ment geometry

[@JSTN111]

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

[@MariosMathTutoring]

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

[@mermumtaz5774]

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

[@MariosMathTutoring]

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

[@whod0]

D..... H

[@farrenz3333]

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

[@thisgirlisnoone]

Bout to take mine!

[@Melina-hq3rj]

About to take my last GED test, wish me luck ...

[@taiashamathis5369]

@@Melina-hq3rj taking mine tmr

[@minecraftuniversal4627]

i got one tomorrow to I hope I pass

[@furahairihose3103]

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

[@MariosMathTutoring]

+Furaha Irihose your welcome.

[@speen9430]

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

[@joshtreola968]

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

[@MariosMathTutoring]

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

[@MoonGirl-my4zn]

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

[@joshtreola968]

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

[@MoonGirl-my4zn]

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

[@lorvilleredenbacher8949]

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.

[@gracehutchinson1754]

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

[@MariosMathTutoring]

You’re welcome Grace! Good luck on your EOC!

[@Pao-s6m]

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

[@MariosMathTutoring]

Glad I could help!

[@Conquiz]

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

[@minecraftuniversal4627]

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

[@fedex6180]

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]

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

[@staroc6069]

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

[@gkmonet]

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.

[@MariosMathTutoring]

You’re welcome! Glad my video helped you!

[@untiedy]

thank you for actually being a good teacher

[@renecamorlinga6501]

Thank you man, my teacher made it so hard to understand but with you I actually think ik what I'm doing.

[@Holdmyquantum]

Thanks for this man, I needed to refresh my memory on this elementary but important topic

[@MariosMathTutoring]

Glad it helped

[@donmoreno3430]

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

[@MariosMathTutoring]

You’re welcome Navi! Glad my video helped you!

[@rinisslime]

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!

[@montserratlopez6603]

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

[@MariosMathTutoring]

Great! Glad my videos are helping you!

[@madlad4]

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

[@tanishamason1319]

Currently practicing for my Teas test and you broke it down in a way the Mometrix book couldnt! its finally clicking. Thanks Mario!

[@MariosMathTutoring]

Best of luck!

[@MattBatistaVlogs]

i have a test in 20 min. absolute life saver

[@tarabadu6810]

woah verified batch now.

[@TheHuamantla]

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

[@MariosMathTutoring]

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

[@iamcaprice1494]

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❤

[@luchecloete1051]

I have a math test tomorrow and you really helped me

[@ChiragSonne]

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.😀🙂

[@MoonGirl-my4zn]

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

[@natu.d9546]

I never thought I'd benefit this much from you man, tnx for this video and the SAT!!!

[@MariosMathTutoring]

You’re welcome!

[@Hotdog85432]

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

[@MariosMathTutoring]

You're welcome!

[@miakandula7640]

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

[@MariosMathTutoring]

You’re welcome Mia! Good luck on your test!

[@leihaihavu8091]

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.💯💯💯💯❤️👍

[@masterjt8753]

This will help me soo much on my math test tommorow

[@MariosMathTutoring]

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

[@masterjt8753]

Mario's Math Tutoring I GOT AN A! 😁😁😁

[@MariosMathTutoring]

Awesome! Great job!

[@realairlot]

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.

[@blossoms1607]

Thanks you! You explain better than my teacher as I have a math exam tomorrow 🥲

[@blossoms1607]

Even though this video is old I appreciate this 🙏 🙌

[@kite8994]

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

[@lasagnacat6967]

bro is helping me make the best academic comeback of my life

[@gannahisham8187]

YOU HELPED ME NOT TO FAIL MY BLOCK TESTSSS THANKS A TON !!

[@mamoweldegiorgis807]

it's never been more clear.thank you so much

[@Vibes4Life536]

since we are out of school I have one missing assignment and its a test for surface area and i dont understand how to do it but i looked up some videos and this is helping me im trying to study for it cuz its harder to do it without someone teaching me and i need to finish it by friday and after watching this i decided to subscribe cuz i have a feeling ill be needing it

[@MariosMathTutoring]

Welcome to the channel! I have more surface area and volume videos if you need more review.

[@bartho100]

brief and straight forward video. Nice work

[@only1799]

Finally understand what we were doing the past month

[@maggieamaya2685]

THANK YOU! i needed this before my exam

[@malakrostom8521]

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

[@nalinipk7781]

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

[@FirstNameLastName-il8ev]

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 :]

[@kaylitry]

wow helped me pass my very hard geometry unit!

[@RishabhChaudharyy]

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

[@harlowedwardsk6278]

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.

[@MariosMathTutoring]

You are so welcome!

[@Taco_muncher]

Using this to study for my test 🙏🙏🙏

[@kenpachicg]

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.

[@davidgandy_alt2970]

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

[@zxppay6502]

i have a big volume/surface area test that i skipped because i wasnt ready and i was about to try and find another way out of this test, when i found this video. Amazing!

[@zxppay6502]

oh and dont skip class kids

[@MariosMathTutoring]

Good luck on the test!

[@rwsbfdicreations289]

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

[@MariosMathTutoring]

You’re welcome Thomas!

[@amybsl]

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

[@MariosMathTutoring]

Glad it helped!

[@neartmisneach1482]

You are a help to the world! Thank you!

[@ajo3470]

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

[@MariosMathTutoring]

You’re welcome!

[@gavinnagel1030]

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

[@MariosMathTutoring]

Glad my videos have been helping you Gavin!

[@he2830]

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 :)

[@ChefSporty]

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

[@ivanthedumb3387]

Thank you this came in really handy for classes keep doing this

[@AdenRodriguez-fo4ju]

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

[@MariosMathTutoring]

Good luck!

[@z3k088]

Thank You, I have a math test tommorow and i was nowhere as near as i am now

[@Chichiuba-y3n]

It is crazy how a 5 year ago mathematics helps me

[@syakeekk2279]

Superb guidance thank you sir

[@AlSharifi503]

Hi So the answer is 113.1 u3 ? Thank you

[@beautyngwenya588]

I'm so thankful sir, you are the best Tutor

[@harmoni9003]

thank you lolzz i finally understand this for my test friday

[@yourlocalcoward8128]

Thank you so much! I feel much more prepared for my exam now

[@MariosMathTutoring]

You’re welcome! Good luck on your exam! Report back if you want and let us all know how you did.

[@marikoswubet6836]

Thank you, teacher isn`t the bast so it`s nice to have you

[@MariosMathTutoring]

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

[@Delighted_Rose]

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

[@philasaandesekhova1425]

Thank you sir this lesson was really helpful

[@minniekingdaosaelai8705]

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

[@lux-ie7xq]

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

[@carolinemarie44]

You are a great teacher, thank you so much!

[@redroseforyou4209]

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?

[@iclemencesarahvibes6823]

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]

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.)

[@nicolasjager3336]

Thank you sooooooooo much, i m going to pass my final year exam

[@AlexBamboo337]

thanx sooooooooo much you saved me for my test

[@MariosMathTutoring]

You’re welcome Nik! Good luck on your test!

[@khushiraajput]

Can you TELL what do the CSA AND TSA MEAN ?

[@candacylindie6402]

Great job... thanks for posting

[@b6santosxianysraela.734]

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

[@mariodrums3850]

thank you for explaining this I needed help with the cylinders and now I get it thank you!

[@MariosMathTutoring]

Glad my video helped you with cylinders!

[@zynahzeeshanzafar1000]

man i go to tuition and ngl ur better tutor

[@MaDMaX-nd8do]

Thank you so much this helped so much

[@learnenglishwiththomastmat7156]

Thank you this video helped me very much

[@MariosMathTutoring]

Glad it helped

[@beenard528]

Very helpful, thanks!

[@MariosMathTutoring]

Glad it was helpful!

[@maythetnaing1822]

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

[@MariosMathTutoring]

You are most welcome

[@sthembisomsimango]

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

[@MariosMathTutoring]

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

[@Hecticatia]

Very helpful video! Thank you!

[@dinaabdulnaser5475]

you are awesome man .... many thanks

[@MariosMathTutoring]

You’re welcome Dina! Glad you liked the video!

[@wolferxv4553]

Mario knows math

[@jin_cotl]

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

[@realairlot]

pretty sure he miswrote, he meant surface area.

[@racquelsabesaje4562]

up cover support started either side or bottom

[@lilkanye7904]

Your the best man

[@gojosolos__]

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

[@MsCankersore]

For the traingular prism why didnt you include the 5 in the beginning??

[@MariosMathTutoring]

Do you mean for calculating the volume or the surface area? Take a look at this video I did...I think it will help explain it better for you: Surface Area of Prisms and Cylinders kzbin.info/www/bejne/bpbOkqqcnMRlkMU

[@beautyngwenya588]

She meant at that triangular prism,sides 3,4,5 and a height of 12, instead of 4×3×5). You said 3×4 only , might be an error sir

[@user-ce7du2rq5n]

what an awesome and pure man