Question

A concrete piece requires 13.7 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.

Answer 1

17.92 cubic yards

Explanation:

You want the volume 13.7 cubic meters expressed in cubic yards.

Conversion

A yard is exactly 0.9144 meters, so we can use the unit conversion fraction ...

(1 yd)/(0.9144 m)

to convert the dimensions to yards.

13.7 m³ × ((1 yd)/(0.9144 m))³ = 13.7/0.9144³ yd³ ≈ 17.92 yd³

The piece requires about 17.92 cubic yards of concrete.