Tomás wants to tile a rectangular floor with square tiles that measure 12 inches on a side. The floor measures 10 feet 6 inches long by 8 feet 6 inches wide. If he is able to cut the tiles without waste, what is the minimum whole number of tiles Tomás needs to completely cover the floor?

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First, we find the area of the floor in square inches. Make sure to convert from feet to inches (1 ft = 12 inches).

$$ \text{Area} = 126\cdot 102 = 12{,}852 \text{ in}^2 $$

Each tile is \(12\cdot 12 = 144 \text{ in}^2\)

If we can cut tiles without waste, we can simply divide the total area by the area of each tile:

$$ \frac{12{,852}}{144} = 89.25 $$

We will need at least \(\boxed{90}\) tiles.