SOLUTION: A square cake measures 6 unit by 6 units by 4units. The cake falls vat of frosting and comes out frosted on all 6 faces. The cake is then cut up into cubes each measuring one unit

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Question 986429: A square cake measures 6 unit by 6 units by 4units. The cake falls vat of frosting and comes out frosted on all 6 faces. The cake is then cut up into cubes each measuring one unit on an egde how many of these cubes will have exactly one face frosted need help quick please

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
The cake has two 6x6 faces (top and bottom)
It also has 4 6x4 faces (the 4 sides)
On the 6x6 face you have a 4x4 unit square that is not touching an edge. So there are 16 on each of those faces. Thats 32 units.
On each 4x6 face, there is a 2x4 square that is not touching any edge. So that is 8 units. Times four faces gives another 32 units
Total 64 units have a single frosted face.