Answer
Water = $134.4cm^{3}$
Work Step by Step
If the volume of water produced varies DIRECTLY as the volume of snow, we can express this relationship as:
$$W = kS$$
where $W$ = volume of water produced, $k$ is a proportionality constant and $S$ = volume of snow. Knowing that, when $S=250$$cm^{3}$, $W=28cm^{3}$, we can find $k$:
$$k=\frac{W}{S}$$
$$k=\frac{28}{250} = \frac{14}{125}$$
and answer the question:
$$W = \frac{14}{125}(1200) = 134.4cm^{3}$$