Question

You need to cover the playground of a child development center with mulch. The playground is 125 feet long and 60 feet wide. You want the mulch to be at least 6 inches deep.
How many cubic yards of mulch should you have delivered? Round your answer to the nearest whole number.

Answer 1

Volume of this child development center=long x width x deep.
we expressed all magnitudes (long, width and deep) in yards.
Data:
long=125 ft=125 ft * (1/3 yd/ft)=125/3 yd
width=60 ft=60 ft * (1/3 yd/ft)=20 yd
deep=6 in * (1 yd / 36 in)=1/6 yd

We calculate the volume:
volume=(125/3 yd)*(20 yd)*(1/6 yd)=138.8888....yd³≈139 yd³

Answer: 139 yd³