Lesson video

Welcome back to a final year five masters in a volume.

IM Mr. Barton and I have a final rhyme to help you with those multiplication tables.

six and eight are running late, how many minutes 48.

I like the rhyme there for late and eight.

That's how I remember it.

Even if you don't use my rhymes, you might find it useful to come up with your own silly ways of remembering those tricky times tables.

I'll say my own again, six and eight are running late, how many minutes 48.

" " Those silly ways of helping you remember your times tables can make everything come a lot easier to you.

So far in this unit we have delved into what volume is and why it's measured in cubic units.

For this final lesson volume, we're going to be combining all of our learning from lessons one to four into our lesson, objective in converting units of volume.

We're going to answer some final questions, thinking about what is volume.

And how is it measured.

Make sure you've completed the lesson quiz, and that you are ready to learn with a pencil, a piece of paper, and a nice quiet focused area to learn in.

Right in Let's get started.

Over the last four lessons we have discussed that volume is the amount of space taken up by an object, and that is measured in cubic units.

We discussed what cube numbers are and how these relate to cubic units.

It's important to remember that the volume of an object isn't always a cube number, but because it has three dimensions, a height, a width and a length, it creates a cuboid in many cases or is made up of cuboids if not " " But we do not always measure volume in centimetres cubed.

Sometimes you measure in millilitres.

Think back to lesson one.

In today's lesson, we're going to explore the relationship between centimetres cubed, and millilitres.

And if we need to do millilitres cubed we're about to watch a video.

In this video I'm filling an ice cube tray with one Dean's The reasons for this is one Dean's are perfect one centimetres cubed, their height and their length and their width is all one centimetres.

I'm going to fill it up as much as possible.

However, because my ice cube tray has rounded edges there will be some space.

How many one centimetre cubed Dean's do you think will fit into my ice cube tray.

" " Right then let's get watching.

" " So you can see again because the curved bottom of our ice cube tray, we can't fit exactly centimetre cubes in there.

However, I've tried to fit as many as possible.

I'm now on my second layer " " and we can see that approximately " " there are 12 centimetres cubed.

" " So what I'm going to do now is I'm going to pull the same amount of the same digit 12 millilitres in " " order to pour in and you can see there that is just under the top.

Guys zoom in for a quick close look.

Now the reason for this will be because we haven't filled up the whole tray with our once deans and as result, we haven't filled up the whole tray with our millilitre But what we're starting to see is a pattern the ice cube tray fit 12 centimetres cubed and the same ice cube tray fit 12 millilitres in it.

" " Let's have a look at another example.

I filled a Tupperware tub with my Dean's.

As you can see, again, they don't fit perfectly because it has a curved bottom.

However, I filled it up as much as possible.

I would like you to estimate how many centimetre cubes Do you think fit inside the tub.

Make your prediction now.

" " Right then, let's have a look.

You will also notice for this one I'm using 100 Steen or 100 square to represent 110 students to represent 10 centimetres cubed.

And the reason for this is they are precisely one centimetre by one centimetre by one centimetre each, and then made up into hundreds and 10s.

" " Let's have a look.

" " So you can see here we are aware of the spaces.

So we're working in approximate So again, I start by taking out my hundreds, and I have 400 centimetre cubed.

Now I'm going to take out my 10s Dean's Remember, each of these teams has a length of 10, a height of one and a width of one.

So they're 10 centimetres cubed each.

" " And then We have two centimetres cubed.

I add those together.

" " Now, let's move on to millilitres.

I want you to predict how many millilitres there will be in this tub.

What's the volume in millilitres? We know the volume in centimetres cubed is 552 centimetres cubed.

" " Now last time, I noticed that the volume of the ice cube tray was " " 12 centimetres cubed, and it was also 12 millilitres.

So I'm going to predict again that the volume in millilitres of this talk is 552 millilitres.

So here I have failed.

A jog with about 552 millilitres, I've highlighted 500 millilitres and 600 millilitres and showing that my water is halfway, that would give me 550 plus a tiny bit extra to.

I'm now going to fill up my jug.

" " I should say that it comes just below the rim.

Because remember, we didn't fill up the whole way.

We didn't fill it up with Dean's the whole way.

And there we can see that approximately " " the volume of our Tupperware is 552 millilitres.

Again, it doesn't fill up the whole way because " " we are not looking for the capacity.

We're not filling up the tub.

We think about how much water and cubic centimetres there are.

" " These features that aim to show you that one centimetre cubed is equal to one millilitre.

" " If one centimetre cubed is equal to one millilitre, I'd like you to finish these equations.

And pause your video now and complete them now.

" " Let's go through the answers.

" " Beware, 1000 centimetres cubed is equal to one litre.

However, it is not equal to one metre squared.

There are 1 million cubic centimetres in a cubic metre.

So there are 1000 litres in a cubic metre.

That's very complex.

You do not need to worry about that at the moment.

For now, all we need to know is that one centimetre cubed is equal to one millilitre.

As I was preparing this lesson, though, I had one big question.

Why is it not in millilitres cubed? " " Let's start with what we know.

Volume is measured in cubic units.

A one centimetre line on its own is one dimensional.

It either measures length, width, or height.

And that's this one here is one dimensional.

A square is two dimensional.

It has a length and a height, but it hasn't got over it.

" " It's two dimensional, you can't pick it up off the page.

However, a cube is three dimensional.

As we found it in lesson four, it has a height and a width and the length we can pick up a cube in real life.

As we found out in lesson two, a cube unit is a cube Unit because all of its dimensions are equal.

And that's why one cubic centimetre or one centimetre cubed is so useful in measuring.

So that's what we know so far.

But why is it not millilitres cubed? " " I'd like you to think about a millilitre of water.

A millilitre is a liquid.

It's something that already takes up space.

It already has three dimensions.

Think of the rain.

For an image of a raindrop.

We know that a raindrop can be touched because they hit us when it's raining outside.

It has a height.

" " It has a width " " and it has a length.

Now what's interesting about millilitres and liquids is that they can change These dimensions.

So when a piece of rain hits a window, its height and width and that change.

So therefore a millilitre is already a cubic unit because it has three dimensions, which can form into a queue or into a cuboid.

Some of your independent tasks now, you've not done much work so it's going to be a bit trickier.

" " You have three tasks to finish.

Task one is to finish these sentences, a recap of everything we've learned.

" " Task two is to complete these statements.

" " And task three is to find the volume of each of the shapes.

Now be aware on night last lesson, each of these let each of these has a different " " unit attached to it.

Again, they are not to scale.

" " Can you work out the volume of each of those shapes? " " I'd like you to pause the video now and go and complete your task.

" " If it's not big enough, exit the video, move on to the independent tasks slide.

Or you can go through each of them where there'll be bigger on your screen.

So if that's your problem, exit the video now.

" " Right then, let's go through the answers.

" " " " For Question four, you can have anything above 401 centimetres cubed.

" " Type question put 401 plus centimetres cubed because it can be anything About 400 centimetres cubed " " for question eight, there are three different answers you could give 16 centimetres cubed 16 millilitres, or eight centimetres cubed and eight millilitres.

" " Well just from completing your unit on volume, don't forget to go and do the end of lesson on end of unit quiz.

Well done.