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Problem of the Week
Problem C
I Want More Cubes

Rashid has a wooden cube with a side length of \(10\) cm. He makes three cuts parallel to the faces of the cube in order to create \(8\) identical smaller cubes, as shown.

A horizontal cut divides the original cube into a top half and a bottom half. Two perpendicular vertical cuts then divide each half into four identical cubes.

What is the difference between the surface area of the original cube and the total surface area of the \(8\) smaller cubes?

Theme: Geometry