# Problem: Volume relationships. The volume occupied by a cube 1 m on each edge is one cubic meter, 1 m3. Each cubic meter contains 1000 dm3. One liter is the same volume as one cubic decimeter, 1 L = 1 dm3. Each cubic decimeter contains 1000 cubic centimeters, 1 dm3 = 1000 cm3. One cubic centimeter equals one milliliter, 1 cm3 = 1 mL.How many 1-L bottles are required to contain 1 m3 of liquid?

###### FREE Expert Solution

We are asked how many 1-L bottles are required to contain 1 m3 of liquid?

This simply means that we need to convert the volume to liters.

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###### Problem Details

Volume relationships. The volume occupied by a cube 1 m on each edge is one cubic meter, 1 m3. Each cubic meter contains 1000 dm3. One liter is the same volume as one cubic decimeter, 1 L = 1 dm3. Each cubic decimeter contains 1000 cubic centimeters, 1 dm3 = 1000 cm3. One cubic centimeter equals one milliliter, 1 cm3 = 1 mL.

How many 1-L bottles are required to contain 1 m3 of liquid?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Dimensional Analysis concept. You can view video lessons to learn Dimensional Analysis. Or if you need more Dimensional Analysis practice, you can also practice Dimensional Analysis practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Van Dorn's class at ARIZONA.