A shoe box measures 15 in. By 7 in. By 4 1/2 in. What is the surface area of the box?

Surface area for a cuboid of length, l, breadth, b, and height h = 2*(lb + bh + lh)

As given in the question:

length, l = 15 in

breadth, b = 7 in

height, h = 4 1/2 in = 4.5 in

Surface area of shoe box = 2*(15*7 + 15*4.5 + 7*4.5)

= 2*(105 + 67.5 + 31.5)

= 2 *(204) = 408

The surface area of the shoe box = 408 in²