[tex]1,\frac{1}{8},\frac{1}{27},\fr ac{1}{64}{1}{n^{3}}/tex] the denominator of the seventh term is a.] 125 b.] 216 c.] 343 d.] 513

option C) 343

Justification:

The sequence of the denominators is:

term         denominator

1               1 = 1^3
2               8 = 2^3
3               27 = 3^3
4               64 = 4^3

5               5^3 = 125
6               6^3 = 216
7               7^3 = 343

And that is the term searched. So, the answer is the option C) 343.

The surface area would be 576 because you multiply all the numbers then multiply that number by 6