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Dimensions of
Cube
|
Number of
Cubes
|
1 face
painted
|
2 opposite
faces painted
|
3 faces
painted
|
4 faces
painted
|
5 faces
painted
|
6 faces
painted
|
$2\times2\times2$ | $8$ | $4$ | $8$ | $8$ | $8$ | $8$ | $8$ |
$3\times3\times3$ | $27$ | $9$ | $18$ | $21$ | $24$ | $25$ | $26$ |
$4\times4\times4$
|
$64$ | $16$ | $32$ | $40$ | $48$ | $52$ | $56$ |
$5\times5\times5$ | $125$ | $25$ | $50$ | $65$ | $80$ | $89$ | $98$ |
$6\times6\times6$ | $216$ | $36$ | $72$ | $96$ | $120$ | $136$ | $152$ |
$17\times17\times17$ | $4913$ | $289$ | $578$ | $833$ | $1088$ | $1313$ | $1538$ |
$n \times n \times n$ | $n^3$ | $n^2$ | $2n^2$ | $3n^2-2n$ | $4n^2-4n$ | $5n^2-8n+4$ | $6n^2-12n+8$ |