To find the price per cup of the ice cream, we first need to determine how many cups are in a 3-quart tub.
Since there are 4 cups in 1 quart, we multiply the number of quarts by the number of cups per quart:
\[ 3 \text{ quarts} \times 4 \text{ cups/quart} = 12 \text{ cups} \]
Now we know that there are 12 cups in a 3-quart tub of ice cream. Next, we need to find the price per cup by dividing the total cost of the tub by the number of cups:
\[ \text{Price per cup} = \frac{\text{Total cost}}{\text{Number of cups}} = \frac{7.56}{12} \]
Calculating this gives:
\[ \text{Price per cup} = 0.63 \]
Therefore, the price per cup of ice cream is $0.63.