a rectangular solid that is 4 cm by 6 cm by 8 cm is painted on all six faces.then the solid is cut into cubes that measure 2cm on each side. how many of these cubes have only one face painted?
If you can do it by steps
You can almost jump right to the answer. I can't give you the answer as I'm not allowed to, nor would you learn that way, but I can tell you how to conceptualize the problem
If you look at a cross section of the 4 x 6 as it goes to eight, you'll be able to see in each cross-section (disregarding the ends) how many have one face painted.
In each cross-section, there are two layers, a top and bottom, and looked at in the other direction, there is one "in the middle".
Hint: concentrate on those "middle" pieces without taking into account the "ends" as you go from 1 to 8.
Can you visualize (or draw on paper) each 4 x 6 cross-section? It is 2 blocks by 3 blocks.
draw the isometric view ( i guess that is the term for the 3d view showing front top and side faces..) that helps to visualize it!!
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