Bill needs 2 * 3 = <<2*3=6>>6 gallons of color paint for the 3 bedrooms.
Thus, he needs 6 / 1 = <<6/1=6>>6 cans of color paint for the bedrooms.
There are 2 * 3 = <<2*3=6>>6 other rooms in the house.
He needs 2 * 6 = <<2*6=12>>12 gallons of white paint for the other rooms.
Thus, he needs 12 / 3 = <<12/3=4>>4 cans of white paint.
In all, Bill needs 4 + 6 = <<4+6=10>>10 cans of paint for the whole house.
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