The surface area of a cube is 480 $$cm^2$$​ Find its volume.

Correct option is B

Given:
Total Surface Area (TSA) = 480 cm²
Formula Used:
​$$\text{TSA} = 6a^2 \\\text{Volume} = a^3$$​​
Solution:
Find the side length (a).
​$$6a^2 = 480 \\a^2 = \frac{480}{6} = 80\\a = \sqrt{80} = \sqrt{16 \times 5} = 4\sqrt{5} \text{ cm}$$​​
 Find the volume.
​$$\text{Volume} = a^3 = (4\sqrt{5})^3 \\= 4^3 \times (\sqrt{5})^3\\= 64 \times 5\sqrt{5}\\= 320\sqrt{5} \text{ cm}^3$$​​
So the correct answer is (b)