Transcript for:
Key Math Concepts for Carpentry

thank you guys for tuning in once again carpentry or chris in this video i will be giving some medical formulas equations and problems that i had to do while i was in my apprenticeship schooling as a carpenter in the in the past couple of weeks okay some things that i did at school guys uh measurements measurements very important make sure you know how to read the tape measure the most important trait and tool that you can have after availability is knowing how to read a tape measure the type of math that we did was touches of geometry with a little bit of trigonometry so you know the formula of a triangle base times height divided by two some people know it as half base times height and blah blah blah and all that stuff divided by two whatever or also just finding the area of a square or a rectangle length times width it's not base times height because that's a triangle how to find the volume of cylinder and they give you the formula here where it's pi times the radius twice and uh so here i'll give you an example right here this is the example that they give you okay 3.14 which is pi uh times 2 because the radius is 2. work through that together just so then just to kind of refresh you guys so what i'm going to be doing is just giving one example of each problem giving one easy one and one difficult one and that's it and then it's up to you guys just to kind of look up things that are similar to it but [Music] at school they will give you a workbook with the formula and at school they will help you refresh your mind a little bit and end the process of how to get the answer they will recommend you to buy a calculator i forgot the name of the calculator i will drop a link and i will show the photo right now i believe it's called like a construction master that calculator is 60 but it is well worth it i get more than 100 likes in this video i will do a calculator giveaway and that calculator really will help you on the math test um i thankfully you know i'm not the smartest guy but i did have a really good understanding of the math portion and i didn't struggle even if i had a regular calculator i'm not the construction master but the guys who have a really good understanding of math and they have a construction master i remember one guy finished the math test and we had 50 questions 34 of them were math questions he finished that test in about i'm not even joking probably five minutes uh just because the construction master it's that easy you put 13 feet 4 inches times blah blah blah and it gives you the calculations and it gives it to you to the simplest form uh it's it's a really good calculator but i'm going to show you guys the manner of how to do it uh base step by step and hopefully this helps out of how to get the volume of a cylinder okay you have to be extremely aware of what the question is asking you what's that mean so that means there are three feet in one yard three cubed three times three times three 27 so that'd be 27 cubic feet one question is going to ask you find the volume of a cylinders cubic feet now this cylinder right here the formula is pi times radius squared so whatever the radius is you multiply it by itself times the height so the radius here is 2 feet and the height is 10 feet pi equals 3.14 so if you were to plug it in this is how it would look pi equals 3.14 radius equals 2 and the height equals 10. now to implement that formula this is how the formula would look like if you write it out 3.14 times 2 squared 2 times 2 times 10. now once you plug that into your calculator the answer should be 125.6 and that would be for cubic feet okay 125.6 but if they're asking you find the volume of the cylinder with the cubic yards then you would have to divide it by 27. so if they're asking for feet you just follow that formula okay pi times r r squared times h if they're asking for feet this is your answer okay you plug in everything and it's 125.6 now if they're asking for yards whatever you have as your answer you divide it by 27 okay and then your answer would be 4.65 in cubic yards so relax there's no need to stress about it because there are they're going to help you go through it in in in school and everything but this is another example right here where you know they want you to find the cubic yards here okay so they want you to find the cubic yards so not the cubic feet the cubic yards so remember cubic yards you divide it by 27. okay if it's cubic feet you do not divide it by 27. now so here's the example so remember the radius is half of the circle okay and this formula remember the formula is pi times radius squared times height so if you remember in the previous example the radius was two okay you just have to remember that this is half the radius is half now look at this in this example the diameter what that means is this end all the way to the other end of that circle is a diameter is three [Music] so how do i get the radius if there's no radius there because it's it's showing me the diameter and i don't need the diameter so the the the radius is half of the diameter okay so if my diameter is three what is half of three what plus what equals three okay if my diameter were eights what plus what equals eight so that would be my radius because that's half of the diameter so in this case half of three is 1.5 and then we would just start plugging all of that in once again good and you would plug that in 3.14 times 1.5 squared times 9 and then you put that in your calculator 3.585 okay that's your answer not yet because you're asking for cubic yards remember so we're going to divide it by 27. dividing by 27 now once you divide by 27 your answer is 2.355 cubic yards fraction of an inch to decimal part of an inch what does that mean so they give you an example to convert a fraction into a decimal point so for example 1 4. now if i were to say hey i want 1 4 in decimal how would i do that maybe some of you guys have have it fresh in your brain it's like oh that's easy i already know what that is other guys like i haven't been in school for quite some time so this is why i'm here to help out whoever which at whatever level you guys are at i don't know everything but you know i did pass the math test and in this in this portion of schooling and i also passed the mathematical tests of the electricians where it's a little bit more higher where they do pre-calculus a little bit more advanced algebra sort of stuff um so how would you do that just in case like say you don't know your fractions that well you forgot for me one fourth is like a quarter okay because 25 cents it's like 25 cents how many quarters until you make a dollar right so you know if if you got if you forgot what you would do is you would do one divided by four okay because if my fraction is one fourth a quarter if my fraction is a quarter what you would do is you would put this the numerator the top number divided by the bottom number which is the denominator okay all right you know here let me give it to you this way so then that way you guys can understand a little bit better okay the top number divided by the bottom number numerator denominator so put that in the calculator 1 divided by 4 equals 0.25 okay 0.25 and that would be my answer 532. they gave you a fraction where it was 532. what you do is plug that into the calculator 5 divided by 32. and then you plug that into your handy dandy calculator and the answer would be 0.15625 15625 now let's not get super specific and be like hey does does the professor want us to round to the nearest tenth to the nearest hundredth whatever the professor wants all right before that just read the instructions and see what exactly they want you and in the instructions if they don't say and ask them hey do you want like the first three numbers after the decimal point so on and so forth and he'll tell you from then on so that's that portion of that math all right so this part now is where it's it's inches to decimal parts of the foot now it's always going to give an example okay so let's just relax the workbooks it's going to give me an example okay so if it's asking me three inches okay all you're gonna do is how many inches are in the foot there's 12 inches in a foot right how many inches are in the foot there's 12 inches so in other words it's asking me whatever the inches are just put it into a foot in decimal form so in other words whatever number they give you just divide it by 12 because there's 12 inches in a foot so if they give me three i'm gonna do is three divided [Music] by 12. 3 divided by 12 [Music] equals 0.25 and my answer would be 02.25 okay now if they gave me 7 inches 7 inches you would do a 7 divided by 12. 7 divided by 12 and that would equal 0.5833 right so for me i would put [Music] 0.583 and if it if it keeps on repeating itself i know it's probably been a long time for you guys but i would just put a line on top of it if it just keeps on three three two three three three three four four four four five just whatever repeating itself okay guys so this portion of the video it's where it's inches and fractions of an inch to decimal part of a foot uh just relax because it gives you an example so it gives you the example one four and a half begin by by converting the fraction so four and a half and it says begin by converting the fraction so four is a whole that's not a fraction the fraction is one half so then you convert that and it's 0.5 and then from there it says next add the whole inches okay whatever so you would add whatever that that fraction is to to the whole number so 4.5 and then it says finally divide this number by 12. so then the answer would be 4.375 i'll give you guys an example of this so let's not stress over it but it's just to kind of give you guys a general idea of like the kind of math that i did so here goes an example three five sixteenths first step for inches and fractions of an inch to decimal part of a foot a bunch of words blah blah blah it gives you an example in the workbook i'm just trying to help you guys out so 3 5 16. okay so 3 is the whole number 5 16 is a fraction first thing you're going to do is separate the fraction 5 16 just do 5 divided by 16. so that's going to be 0.3125 3 five sixteenths now i'm just separating the fractions by itself five divided by 16 equals zero point three one two five now that three that you removed let's bring it back so now you're just gonna add those two together okay so whatever the fraction equal you're just gonna bring it back with that whole number 3.3125 okay hopefully that makes sense so we just kind of like hit this one we just kind of like hid the that number just separated the fraction then we brought that whole number back all the way here and added it with the answer whatever the fraction was is you would divide that by by 12. after you get this answer divide that by 12. [Music] because there's 12 feet 12 inches in a foot and then whatever that is on the calculator that's the answer you would put so in my case it's 0.276 let's leave it to the first three numbers after the decimal point so 0.276 and that's that portion of that of that and i can go on and go on so much with this but i just want to give you guys just a general idea to relax it's nothing too too hectic honestly and if you guys need help just just ask the instructors ask your classmates the other stuff is just kind of finding the formula of a triangle which is base times height divided by two okay so for example so the base for a triangle this one is two the height is seven so you would do base times height divided by two so you would plug it in because that's the formula for the triangle base times height divided by two so the base is two the height is seven seven times two divided by two i mean sorry for my sloppy handwriting but that's just to kind of give you guys an idea of what that is okay also when they say find the perimeter of this of this shape which is like a square or whatever if this is two down there it's going to be two because it all this all the sides are the same if this is five this other side is going gonna be five okay so for the perimeter you're adding them all together it's adding all sides so this would be two plus two five plus five so five plus five is ten two plus two is four ten plus four is fourteen so the perimeter the answer for this one would be fourteen for the perimeter because perimeter is you're adding now if they say what's the area of of this angle of of this shape the area is you're multiplying area is you're multiplying the base the base times the height so then if this is 2 and this is 5 what would the answer be if we're looking for the area it would be two times five equals ten we would not divide by two because this is not a triangle the formula for a tangle or a square is base times i for the area two times five in this scenario in this situation those are some other things that we did and i think those are like one of the more kind of just like a refresher sort of thing but honestly the math portion isn't too difficult you just have to get like a c grade which was like about 35 questions out of 50 right um so there's nothing really to stress about just relax i just wanted to touch a little bit on the math portion just to kind of like relax and just do your thing that's that's pretty much it