A cube is divided into 512 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. How many cubelets are painted with exactly one colour? Choose the correct option
A) 216	B) 264	C) 296	D) 312	E) 324
Each face of the cube has 8 x 8 = 64 cubelets.   On each face, only the interior cubelets are painted one colour.   On each side, 6 x 6 = 36 cubelets are painted one colour.   Since the cube has six sides, the number of cubes with one colour is  6*36= 
<gadget id="calculator"> 6*36</gadget>
<output>216</output>
216   The answer is 216.
<result>A</result>
A cube is divided into 512 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. How many cubelets are painted with exactly one colour?