Final answer:
1 cubic yard of concrete equals 27 cubic feet, based on the conversion that 1 yard equals 3 feet in each dimension.
Step-by-step explanation:
1 cubic yard of concrete is equal to 27 cubic feet. This conversion comes from the fact that 1 yard is equivalent to 3 feet, and when dealing with cubic measurements, you need to cube that conversion factor (3 feet x 3 feet x 3 feet = 27 cubic feet). So, for volume conversions between yards and feet, this cubic factor is always applied.
To visualize this, if you had a cube that was 1 yard high, 1 yard wide, and 1 yard long, it would equal a cube that is 3 feet high, 3 feet wide, and 3 feet long. When you calculate the volume of this cube in feet, you multiply the three dimensions together, resulting in 27 cubic feet.