To pack a set of books, Surbhi made a carton that was 48 inches long, 27 inches wide and 30 inches tall. What will be the total surface area (in square feet) of this carton, once it closed from all sides? [Use 1 foot = 12 inches]
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 49.25.
Length (L) = 48 inches
Width (W) = 27 inches
Height (H) = 30 inches
TSA = 2 × (L × W + W × H + H × L)
= 2 × (48 × 27 + 27 × 30 + 30 × 48) = 2 × (1296 + 810 + 1440)
= 2 × 3546 = 7092 square inches
Since 1 foot=12 inches
1 square foot = 12 × 12 = 144 square inches
Surface Area in square feet = 7092/144 ≈ 49.25