The surface area of the rect. prism shown here can be found as follows:
5*7 = 35 (area of one end). Total area of ends is 2(35) = 70
2(5)d Total area of vertical faces = 10 d
2(7)d Total area of horizontal surfaces = 14 d
Equating the sum of these 6 areas to the given total surface area, 262 m^2, we get:
(70+10d+14d) = 262 m^2.
Simplifying, 70 + 24d = 262 m^2, or 24d = 262-70 m^2.
Simplifying further, 24d = 192 m^2, so that d = 8 meters
