Question

A cuboid has Total surface area of 60m² and Lateral surface area of 40 m².find the area of its base.

Answer 1

Answer:

10 m²

Step-by-step explanation:

Total surface area of cuboid = 60 m²

2 ( lb + bh + hl ) = 60

( lb + bh + hl ) = 60/2 =30

lb + ( bh + hl ) = 30

lb + ( l + b ) h = 30 ----(1)

Lateral surface area of cuboid = 40 m²

2h (l+b) = 40

h( l + b )  = 40/2 =20

from (1)

lb + ( l + b ) h = 30

lb + 20 = 30

lb = 30-20

lb = 10

area of its base = l*b

lb = 10 m²