An open box is made by cutting the congruent squares from the corners…

Question

An open box is made by cutting the congruent squares from the corners of a rectangular sheet of cardboard of dimension 20 cm × 15 cm. If the side of each square is 2 cm, the total outer surface area of the box is :

Accepted Answer

Option B. 284 cm 2. Answer & Solution Answer: Option B Solution: Clearly, l = (20 - 4) cm = 16 cm b = (15 - 4) cm = 11 cm and h = 2 cm ∴ Outer surface area of the box : & = [ 2 ( l + b ) × h ] + lb & = [ \ 2 ( 16 + 11 ) × 2 \ + 16 × 11 ] & = ( 108 + 176 ) & = 284 c m^2