A square area measuring 100m by 100m has actually a room of 1 hectare. An acre has a room of 43600 sq ft. If a nation lot has actually an area of 12 acres, what is the location in hectares?

You are watching: Express this displacement in liters (l) by using only the conversions 1l=1000cm3 and 1in=2.54cm.

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### Video Transcript

Okay, Welcome. So we've got a pretty basic unit conversion problem right here. We have actually these facts, so we know that one leader is a thousand also cubic centimeters. This meacertain volume we have actually that one inch is 2 point five four centimeters. There's a dimensions of leg, and we have that This thing, the engine displacement, which is additionally a volume, is 3 twenty salso cubic inches. So if you have cubic inches, that's just just cube. Well, we'd like to carry out What would choose to do is gain displacement, which is a volume in units of leaders. So, neighborhood leaders, um, that's a pair means to go about this. We're going to do what I think is the most intuitive way, which is via a dimensional analysis. So we want leaders out. We desire that in the finish, and we have three twenty seven inches cubes. Let's create that down initially three hundred. Hello. Three hundred twenty seven cubic inches. Okay, so now we're gonna carry out is we're going to gain this in terms of Centimeters Cube. So we're gonna leapfrog from inches cubed two centimeters cubes and the from centimeters cube, the leaders. So I'm gonna multiply, and also I watch this. I'm gonna multiply. What I desire to execute is have actually the units of inches cubed. Cancel through some kind of units including inches and centimetres. So I have here 2 allude 4 4 centimeters per one inch. I'm gonna put that in as a fraction, so I'm gonna put parentheses. Just rewind a 2nd. Two allude 5 four cm. Mm. Here you go, Pearl inch. Okay. Now, as is, I just canceled one of these inches, right? So if I cross this out across this cross this inches out with one of these insincere, I simply end up through interemainder to the two, right? That's not great. That's not what we want. Let's back that off tright here. Okay? So I should cube this term right here. And you think you this term in order to get my interemainder cube right here. Teo, cancel With this interemainder cube here. I'm gonna cue this term. What's Cubitt? Tright here we go. Okay. So what do we get after we've done this? So currently we've cubed thie inches. The cube comes in here in here. Write one also. So these units are currently in nice terms. We've got this. Keep this interemainder Cube canceling with this interemainder. Cute. And we're left via centimeters cubed. Let's ago that off again. Here we go. Okay, So now we have actually our volume in terms of centimeters cubed. We'd prefer to obtain it in terms of leaders. Remember, we'd like to acquire it in terms of leaders up here. That's our goal. So we're going to multiply aget, and also we're going to multiply by the proportion of Centimeters Cube, bereason that's the units of this entirety thing. We want to multiply by somepoint involving Centimeters Cube. That takes us to leaders. Well, unfortunately, we have actually that ratio right here. Right. So let's input that we've acquired centimeters cubed on peak. We want them to cancel. So we're gonna have one thousand centimeters cubed on the bottom. Samir's cubed. Hello? Let's solve that, Sammy, you're cute for one leader. Okay, Equals we're done. So we're going to convert. We've gone from inches cubed, 2 centimeters cube, and also then we've gone from Centimeters Cube. Two leaders. Okay, if you cranked as much as your calculated, you should end up via amounts to. Five suggest three six Leaders suggest three six leers. Okay, so we're not substantial figures below. If you put this in a calculated you'LL watch that there's a totality bunch of digits that pop out. We just store the first three. And why is that? We only save the first 3 bereason the measurement that was provided to us, this three allude 2 salso meters cube is provided to us via 3 considerable figures. One, 2, three. So, at the end, the most significant numbers we deserve to have actually is likewise going to be three significant numbers right here. Just implies we have actually these 3 numbers five, three and also six. Okay. And this this type of point something you wantto have down Pat, this is demands to be as second nature is edition being able to transform from one unit device to an additional. Um, so, yeah, this is something to keep practicing, Especially if you have initial challenge via it. Good luck.