Maths Olympiad Prep

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CEMC Gauss (Grade 8), 1998

Geometry Difficulty 2.0 Junior Find the answer Canada

A cube measures 10 cm×10 cm×10 cm10\text{ cm}\times10\text{ cm}\times10\text{ cm}. Three cuts are made parallel to the faces of the cube as shown creating eight separate solids which are then separated. What is the increase in the total surface area?

(A) 300 cm2300\text{ cm}^2 (B) 800 cm2800\text{ cm}^2 (C) 1200 cm21200\text{ cm}^2 (D) 600 cm2600\text{ cm}^2 (E) 0 cm20\text{ cm}^2

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