A solid cube is painted black on two of its opposite faces and is cut into 343 equal pieces. How many small pieces have no paint?
1) 313
2) 245
3) none
4) 294
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2) 245
Cube root of 343= 7
That means each side of the cube is divided into 7 squares. The side painted has an area of 7*7=49. There are 2 sides like that, so total area painted is 49*2= 98 squares. 343-98 = 245, therefore the number of squares unpainted is 245.
Hope this helps.
Cube root of 343= 7
That means each side of the cube is divided into 7 squares. The side painted has an area of 7*7=49. There are 2 sides like that, so total area painted is 49*2= 98 squares. 343-98 = 245, therefore the number of squares unpainted is 245.
Hope this helps.
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