Question

a cuboid has a total surface area of 55m^2 and its lateral surface area is 27m^2 find the area of its base

Answer 1

2(lb+bh+lh)=55 ie, 2 lb + 2 bh + 2 lh = 55 equation 1

2(lh+bh)=27 ie, 2 lh + 2 bh = 27 equation 2

equation 1 - 2 gives us

2(lb)=55-27=28

then

lb=14m²

which is the required answer.