The length, breadth and height of a cuboid are consecutive integers. If the volume of the cuboid is 336 cubic units, then what is the total surface area of the cuboid?
- A. 288 square units
- B. 292 square units ✓
- C. 296 square units
- D. Cannot be determined due to insufficient data
Correct Answer: B. 292 square units
Explanation
Let dimensions be x, (x+1), (x+2). Volume = x(x+1)(x+2) = 336. Since 336 = 6 \times 7 \times 8, the dimensions are 6, 7, and 8. Total Surface Area = 2(lb + bh + hl) = 2(6 \times 7 + 7 \times 8 + 8 \times 6) = 2(42 + 56 + 48) = 292 square units.
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