Answer
$13.5 \text{ yd}^3$
Work Step by Step
Convert by multiplying $\dfrac{1 \text{ yd}^3}{200 \text{ gal}}$ to obtain:
$=\require{cancel}
2700 \cancel{\text{ gal}} \cdot \dfrac{1\text{ yd}^3}{200 \cancel{\text{ gal}}}
\\=\dfrac{2700}{200} \text{ yd}^3
\\=13.5 \text{ yd}^3$