A cuboid has total surface area of 372 cm² and its lateral surface area is 180 cm², find the area of its base.

Question

A cuboid has total surface area of 372 cm 2 and its lateral surface area is 180 cm 2 , find the area of its base.

Philoid · Accepted Answer

Given,

Total surface area of cuboid = 372 cm²

Lateral surface area = 180 cm²

= 2(l+b) h = 180

= lh +bh = ………………(i)

And ,

= 2(lb+bh+hl) = 372

= lb+bh+hl = ………………(ii)

Putting value of lh+bh from equation (i) to (ii)

= lb +90 = 186

= lb = 186-90 = 96

=l×b = area of base = 96 cm²

A cuboid has total surface area of 372 cm2 and its lateral surface area is 180 cm2, find the area of its base.