the total surface area of cuboid is 200m square and its lateral surface area is 140m square. find the area of the base.
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T.S.A of cuboid =2(lb + bh+lh) = 200 m²
L.S.A = 2h( l+b) = 140 m²
The base area = lb
140 = 2h ( l+b)
140/2 = h(l +b)
70 = h( l+b).................(i)
200 = 2(lb + bh+ lh)
100 = lb + bh + lh
100 = lb + h( l + b)
100 = lb + 70................Putting the value from eq(i)
lb = 100 - 70
lb = 30 m²
∴ Area of the base = 30m²
L.S.A = 2h( l+b) = 140 m²
The base area = lb
140 = 2h ( l+b)
140/2 = h(l +b)
70 = h( l+b).................(i)
200 = 2(lb + bh+ lh)
100 = lb + bh + lh
100 = lb + h( l + b)
100 = lb + 70................Putting the value from eq(i)
lb = 100 - 70
lb = 30 m²
∴ Area of the base = 30m²
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