The surface area S of the rectangular solid in the figure is

S = 2(24) + 2(4x) + 2(6x).
Find the length x of the box if the surface area is 248 square centimeters.

1 answer

248 = 48 + 8x + 12 x

200 = 20 x

x = 10

The three different side areas are 24, 4x = 40 and 6x= 60

The side lengths must be 4, 6 and 10.
The length of the box is 10.