To find the price per cup of the ice cream, we first need to determine the total number of cups in a 3-quart tub.
Since there are 4 cups in 1 quart, we can calculate the number of cups in 3 quarts as follows: \[ 3 \text{ quarts} \times 4 \text{ cups/quart} = 12 \text{ cups} \]
Now that we know how many cups are in the tub, we can calculate the price per cup by dividing the total cost of the tub by the number of cups: \[ \text{Price per cup} = \frac{\text{Total cost}}{\text{Number of cups}} = \frac{7.56}{12} \]
Now, performing the division: \[ \frac{7.56}{12} = 0.63 \]
Thus, the price per cup of ice cream is: \[ \boxed{0.63} \]