When a figure consisting of 14 cubes together is painted with red from top to bottom completely, then the number of individual cubes will have exactly four red faces is 6.
The figure is shown at bottom of the answer.
Given,
This figure, contains 14 cubes formed ,combined together to form into this shape as shown in figure, when painted with red including bottom of the figure.
then,
At first, we can observe that the four cubes at corners of the figure, have only 3 faces as painted red.
The four cubes on the top of corners will have 5 faces as painted red.
And after observing closely, we can observe that the 6 cubes at the middle of the figure will have 4 faces as painted red.
Now, have covered all the cubes in the figure.
[tex]\begin{center}\begin{tabular}{ c c } No.\ of\ red\ faces & No,\ of\ cubes \\\\ 3 & 4 \\\\ 4 & 6 \\\\ 5 & 4 \\\\ & Total=14 \end{tabular}\end{center}[/tex]
Hence, when the figure is painted red including bottom, we get 6 individual cubes which will have exactly four red faces.
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