Answer:
[tex] V_{cube} = 64,000 \: {m}^{3} [/tex]
Step-by-step explanation:
Surface area of cube
[tex] = 6 {a}^{2} \\ (where \: a = side \: length \: of \: cube) \\ \\ \therefore \: 9600 = 6 {a}^{2} \\ \\ \frac{9600}{6} = {a}^{2} \\ \\ 1600 = {a}^{2} \\ \\ a = \sqrt{1600} \\ \\ a = 40 \: m \\ \\V_{cube} = {a}^{3} \\ \\ V_{cube} = {(40)}^{3} \\ \\ V_{cube} = 64,000 \: {m}^{3} [/tex]
