### Video Transcript

Chapter one section three difficulty for the concern is, the thickness of gold is nineteen allude three grams per centimeter. Cute. What is the value in kilograms every centimeter? therefore we're offered that the density of yellow is nineteen point three grams every centimeter. Keep. And what we want to discover is just how much this worth is in kilograms every meter. Cute, due to the fact that it's walking to need the conversion of units from this to this. And so one point we very first have to establish is, uh there space a thousands grams in a kilogram and there is one hundred centimetres in a meter. And also so this is actually equal come one both this quantities, and so we could flip castle over and also take the mutual of them as needed. And also so, in order to perform that, you an initial take or nineteen allude three grams per centimeter cubes. And also so we desire to remove this grand quantity. So you that by putting the amount of grams listed below grams and we claimed it was a thousand two one kilogram now will permit us to cancel these two amounts that offer us kilograms. Therefore we're multiplying by one, and also so this is a valid operation due to the fact that you could play most player any kind of quantity through one, and also it remains the same. And so in this following quantity, we want to have actually centimeters over and meters below. And so there's a one hundred centimetres per meter and also again this is multiplying by one. However there's sort of an issue here. There's there's a centimeter cube here and only one centimeter. For this reason what we perform is we must put a totality quantity cube here providing us this quantity. And so, um, in stimulate to leveling this, we now should go come to leveling this fact of first. And so we execute that by by having one hundred cubed i beg your pardon one hundreds cubed is a million. You could just counting the zeros. There's two zeros 3 to the third. That gives us six zeros as this amount is a million centimetres cubed allow acute is this cute amount goes here is well and to the one the one store this one okay. And so currently that we have actually this whole quantity, we might just multiplied all together, or we end up step is us were able to cancel the end the cube, the grams and also we're left v That way gets the following piece. We're left v nineteen allude three kilograms per meter. Cubed times million end one thousand just for a man yourselves. We get the million from this amount for 2 thousand from this quantity. Psychic this quantities this okay? and also so this quantities actually equal to the doesn't. And so our answer is nineteen allude three times a thousands kilograms per meter cubed.

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And but that gives us his nineteen thousand 3 hundred kilograms every meter cubed. Over there you have actually it.