Question

A cuboid has total surface area of 50 m² and lateral surface area is 30 m². Find the area of its base.

Answer 1

\[\text { Total sufrace area of the cuboid } = 50 m^2 \]

\[\text { Its lateral surface area =  }30 m^2 \]

\[\text { Now, total surface area of the cuboid = 2  }\times (\text { surface area of the base)  }+ \text { (surface area of the 4 walls) }\]

\[ \Rightarrow 50 = 2 \times\text {  (surface area of the base) } + (30)\]

\[ \Rightarrow 2 \times\text {  (surface area of the base)  }= 50 - 30 = 20\]

\[ \therefore \text { Surface area of the base } = \frac{20}{2} = 10 m^2\]