Video Transcript
A container is filled with 41,000 cubic millimeters of water. Find the capacity of the container in liters.
In order to answer this question, we need to recall some of our conversions between units of capacity and volume. If we begin by considering units of length, we know that there are 10 millimeters in one centimeter. Volume is measured in cubic units. 10 cubed is equal to 1,000. Therefore, there are 1,000 cubic millimeters in one cubic centimeter.
This means that we can convert 41,000 cubic millimeters into cubic centimeters by dividing by 1,000. This is equal to 41. There is 41 cubic centimeters of water in the container.
We recall that one cubic centimeter of volume is equal to one milliliter of capacity. 41 cubic centimeters is, therefore, equal to 41 milliliters. We want our answer to be in liters. And there are 1,000 milliliters in one liter. We, therefore, need to divide 41 by 1,000. Moving all the digits three places to the right gives us 0.041.
The capacity of the container is 0.041 liters. This is because 41,000 cubic millimeters is equal to 0.041 liters .
