Answer:
The surface area = 736 square inches
Explanation:
A box is in the form of a cuboid which has 6 faces of which opposite faces has equal surface area.
a. Since the top surface equals bottom surface, their surface area = 2 (l × w)
But, l = 16 inches, w = 10 inches
= 2 ( 16 × 10)
= 2 × 160
∴ their surface area = 320 square inches
b. The two sides would have equal surface areas, so that their surface areas = 2 (w × h)
But, w = 10 inches, h = 8 inches.
Their surface areas = 2 (10 × 8)
= 2 × 80
= 160 square inches
c. The front and back portions would have equal surface areas, so that their surface areas = 2 (l × h)
But, l = 16 inches , h = 8 inches
Their surface areas = 2 (16 × 8)
= 2 × 128
= 256 square inches
Thus the surface area of the box = 320 + 160 + 256
= 736 square inches