# A Cuboid Has Total Surface Area of 50 M2 and Lateral Surface Area is 30 M2. Find the Area of Its Base. - Mathematics

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

#### Solution

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

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

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

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

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

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

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 21 Mensuration - II (Volumes and Surface Areas of a Cuboid and a Cube)
Exercise 21.3 | Q 15 | Page 23