How To Convert Cubic Centimeters to Cubic Meters - cm^3 to m^3 - Volume

TL;DR

Learn how to convert cubic centimeters to cubic meters by cubing the conversion factor.

Transcript

in this video we're going to talk about how to convert cubic centimeters into cubic meters so in this example problem we have 500 000 cubic centimeters whenever you have cubic units be it cubic centimeters cubic feet cubic inches cubic meters all of these are units of volume so we're converting from one unit of volume to another unit of volume but ... Read More

Key Insights

• 🤒 Cubic centimeters, cubic feet, cubic inches, and cubic meters are all units of volume.
• 🤒 The conversion factor for cubic centimeters to cubic meters is derived from the relationship between meters and centimeters.
• ✊ Raising the conversion factor to the third power is necessary to cancel out all units of centimeters.
• ✖️ The exponentiation of the conversion factor can be simplified using exponent rules, such as multiplying the exponents when multiplying the bases.
• 🤒 Converting a value from cubic centimeters to cubic meters involves dividing the value by one million.
• 🧑‍🏭 The conversion factor can be written in scientific notation to simplify calculations and eliminate the need for long decimal representations.
• ⚾ Dividing by a common base, such as ten, requires subtracting the exponents in the exponentiation notation.

Questions & Answers

Q: What units of volume are commonly used in conversions?

Units such as cubic centimeters, cubic feet, cubic inches, and cubic meters are commonly used in volume conversions.

Q: How do you convert from cubic centimeters to cubic meters?

Start with the given value in cubic centimeters, then use the conversion factor of 1 meter = 100 centimeters. Raise this conversion factor to the third power to account for the cubic nature of the units.

Q: Why is the 100 centimeters placed on the bottom of the second fraction?

The 100 centimeters need to be placed on the bottom of the second fraction to cancel out the centimeter units on the top left. This ensures that only one unit of centimeters remains, allowing for cancellation.

Q: What is the significance of cubed units, such as cubic centimeters?

Cubed units mean that three units of the same measurement are being multiplied together. To cancel out all three units, the conversion factor needs to be raised to the third power.

Summary & Key Takeaways

• This video explains how to convert cubic centimeters to cubic meters by using a conversion factor.

• The conversion factor is derived from the knowledge that one meter is equal to 100 centimeters.

• To convert, the conversion factor needs to be raised to the third power to cancel out the cubic centimeter units.