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Frank has enough paint to cover 500 square inches. He paints a wooden cube that has 9-inch square faces. How much paint does Frank have left?

asked
User Shyamala
by
8.5k points

2 Answers

4 votes

Answer:

there are 6 square faces in a cube

surface 1 side: 9²=81inch²

1cube surface: 81*6=486inches²

he uses 486inch² of paint for the cube

Amount of paint remaining = 500 square inches - 486 square inches = 14 square inches

Step-by-step explanation:

answered
User Sidi
by
8.0k points
1 vote

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.

Learn more about Surface Area

answered
User Jorge Gil
by
6.7k points

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