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A cube has a net with area 600 in how long is an edge of the cube?

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User Phdesign
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The net of a cube consists of six square faces.

Let x be the length of one edge of the cube. The surface area of one of the faces is x². Therefore, the surface area of all six faces is 6x².We are told that the area of the net is 600 in². Therefore, we have:6x² = 600Dividing both sides by 6: x² = 100Taking the square root of both sides: x = ±10We cannot have a negative length for the edge of the cube, so the length of the edge is 10 inches.To verify that this is correct, we can find the surface area of the cube and make sure it is 600 in². The surface area is 6x², or 6(10)² = 600 in². Therefore, our answer of 10 inches is correct.

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User Samir Lakhani
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