Lateral Surface Area of a Cuboid
Here we will learn how to solve the application problems on lateral surface
area of a cuboid using the formula.
Formula for finding the lateral surface area
of a cuboid
Area of a Rooms is example of cuboids.
Are of the four walls of a room
= sum of the four vertical (or lateral) faces
= 2(l + b)h
Where l = Length, b = breadth
and h = height.
Therefore, lateral surface area of a cuboid = 2(l +
Problems on Lateral Surface Area of a Cuboid:
The dimensions of a cubical room are 8.6 m × 5.4 m × 4 m. The room has two doors each measuring 2 m by 1 m and four windows each measuring 1 m by 1 m. What will be the cost of plastering the four walls and the ceiling at RS 65 per m2?
The total area of the four walls
Lateral surface area of the cuboid
2(l + b)h
2(86 + 5.4) × 4 m2
The area of the ceiling = l × b
8.6 × 5.4 m2
= 46.44 m2
The sum of the areas of the two doors and the four windows
2(2 × 1) m2 + 4(1 × 1) m2
Therefore, the total area to be plastered = (112 + 46.44 -
Therefore, the cost of plastering = 150.44 × Rs. 65
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9th Grade Math
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