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A concrete piece requires 21.2 cubic meters (m3) of concrete. Use the fact that 1 yard is approximately equal to 0.9144 m to convert this volume to cubic yards (yd3). Round your answer to the nearest hundredth. Do not type the units in the space below.

Question

A concrete piece requires 21.2 cubic meters (m3) of concrete. Use the fact that 1 yard is approximately equal to 0.9144 m to convert this volume to cubic yards (yd3). Round your answer to the nearest hundredth. Do not type the units in the space below.

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Solution

To convert cubic meters to cubic yards, you need to know the conversion factor. As given, 1 yard is approximately equal to 0.9144 meters. To convert to cubic yards, you need to cube this conversion factor.

Step 1: Cube the conversion factor (0.9144 m/yd)^3 = 0.764554857984 m^3/yd^3

Step 2: Multiply the given volume in cubic meters by the conversion factor to get the volume in cubic yards. 21.2 m^3 * 1 yd^3/0.764554857984 m^3 = 27.71 yd^3

So, the volume of the concrete piece is approximately 27.71 cubic yards when rounded to the nearest hundredth.

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