What are the dimensions (length, breadth and height respectively) of a cuboid with volume 720 cubic cm, surface area 484 square cm and the area of the base 72 square cm?

Given volume = l × b × h = 720, surface area = 2(lb + bh + lh) = 484, and base area = lb = 72. From surface area: 2(72 + bh + lh) = 484, so bh + lh = 170. Using volume: h = 720/72 = 10. Then b(l + h) doesn't help directly. Better: from bh + lh = 170 and h = 10, we get b + l = 17. With l × b = 72 and l + b = 17, the dimensions are 9 and 8. Testing option A: 9 × 8 × 10 gives volume 720 and surface area 2(72 + 80 + 90) = 484. ✓