The height of a right prism with a square base is 15 cm. If the area of the total surface of the prism is 608 sq. cm, its volume is

Answer: Option C

Let the side of square base = a cm
⇒ 2a² + 4a × h = 608
⇒ 2a² + 4a × 15 = 608
⇒ a² + 30a = 304
⇒ a² + 38a - 8a - 304 = 0
⇒ a(a + 38) - 8(a + 38) = 0
⇒ a = -38, 8
⇒ a = 8 cm
∴ Volume of prism = 8 × 8 × 15 = 960 cm³