Units of Conversion: Cubic (Volume) Measure - Problem 3

Basic to the understanding of unit conversion is the understanding of equivalence, the understanding of the multiplicative identity of 1, and how the two are related. For a review of these concepts, click on Review.

You will also need to multiply and reduce fractions. If you have forgotten how to manipulate fractions, visit Fractions for Adults on SOSMath for an in-depth review.

Review the following table of Standard Units of Conversion to see if you can create fractions that have a value of 1. You can click to examples following each table.

Cubic Measure

Problem 3: Convert 1400 cubic yards to cubic meters.

Solution:

• From the above table, you can see that there is a link between cubic yards and cubic meters. Since 1 cubic yard is equivalent to 0.7646 cubic meter, the fraction

is equivalent to 1.

• Write 1400 cubic yards as

• Multiply: .
• Cancel the cubic yards.....

• Simplify. The answer is 1,070.44 cubic meters.

[Units of Conversion]