Final answer:
To find out how much paint Frank has left after painting the cube, calculate the surface area of the cube (486 square inches) and subtract this from the initial amount of paint (500 square inches), resulting in 14 square inches of paint left.
Step-by-step explanation:
This question is about calculating surface area and subtracting it from an initial quantity of paint. In this case, we are working with a wooden cube that has 9-inch square faces. The total surface area of a cube is found by multiplying the area of one face (length x width) by 6 (since a cube has 6 identical faces). Therefore, the total area of the cube is 9*9*6 = 486 square inches.
Frank has enough paint to cover 500 square inches. So if he paints the cube, he will have 500-486 = 14 square inches worth of paint left over.
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