Question

a cuboid has total surface area of 372 centimeters square and its lateral surface area is 180 centimeters square find the area of its base

Answer 1

lateral surface area = 2h(l+b)
LSA =180 cm^2
TSA =2(lb + bh + hl )
TSA =2lb +2(bh+hl)
TSA = 2lb+180
372 = 2lb+180
372-180= 2 lb
192 = 2lb
192/2 = lb
96 = area of base

Answer 2

The area of base is 96 sq.cm.

Step-by-step explanation:

Lateral surface area of cuboid = $2h(l+b)=2lh+2bh$

We are given that the surface area of cuboid is 180 sq.cm

So, $2hl+2bh = 180$----A

Total surface area of cuboid = $2lb+2bh+2hl$

Substitute the value using A

So, Total surface area of cuboid = 2lb+180

We are also given that Total surface area is 372 sq.cm.

So,$2lb+180=372\\2lb=372-180\\2lb = 192\\lb = \frac{192}{2}\\lb = 96$

Hence The area of base is 96 sq.cm.

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A cuboid has total surface area of 372 centimeters square and its lateral surface area is 180 centimeters square find the area of its base

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