Question

A cuboid has total surface are of 80m^2 and its lateral surface are is 26m^2. Find the are of its base.

Answer 1

Given,
TSA=80m²
=>2(lb+bh+lh)=80m²
=>lb+bh+lh=40m²..................(1)

LSA=26m²
=>2h(l+b)=26m²
=>h(l+b)=13m²
=>lh+bh=13m²..........................(2)

substitute (2) in (1)
=>lb+13=40m²
=>lb=27m²
area=lb=27m²