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To find the possible dimensions of the refrigerator, we need to factor the given trinomial, y^3 + y^2 - 56y.
First, we can factor out a common factor of y:
y(y^2 + y - 56)
Next, we need to factor the quadratic expression inside the parentheses:
y(y + 8)(y - 7)
So the possible dimensions of the refrigerator are y, y + 8, and y - 7.
Therefore, the correct answer is A. y, y + 8, and y - 7.