A concrete piece requires 37.7 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 37.7 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.
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. 37.7 m^3 * 1 yd^3/0.764554857984 m^3 = 49.34 yd^3
So, the volume of the concrete piece is approximately 49.34 cubic yards when rounded to the nearest hundredth.
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