Question Video: Converting between Cubic Centimeters and Cubic Meters | Nagwa Question Video: Converting between Cubic Centimeters and Cubic Meters | Nagwa

Question Video: Converting between Cubic Centimeters and Cubic Meters

Express 8.92 m³ in cubic centimeters.

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Video Transcript

Express 8.92 cubic meters in cubic centimeters.

We begin by recalling that when measuring length, 100 centimeters is equal to one meter. As area is measured in square units, we need to square both of these values to find the conversion between square centimeters and square meters. 100 multiplied by 100 is equal to 10,000. Therefore, there are 10,000 square centimeters in one square meter. We can repeat this process when dealing with volume. And we know that volume is measured in cubic units. 100 cubed is equal to one million. Therefore, there are one million cubic centimeters in one cubic meter.

In this question, we need to convert 8.92 cubic meters into cubic centimeters. We can do this by multiplying 8.92 by one million. When multiplying by a million, we move all the digits six places to the left.

A quick way of checking this would be to look at our first digit. The eight in the ones column is being multiplied by one million. This would give us eight million. Therefore, in our answer, the eight needs to be in the millions column. There are 8,920,000 cubic centimeters in 8.92 cubic meters.

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