Question

* Surface Area of a Cuboid
B
• A cuboid has six faces.
D
h
IC С
h
F
E
b
Each face is a rectangle.
• Opposite faces have the same area.
• Each edge is perpendicular to the two other
edges it meets.
Let l be the length of the horizontal face of the
cuboid and b be the breadth. Let h be the height
of its vertical sides.​

Answer 1

Answer:

Total Surface Area of Cuboid

If l is the length, b is the breadth and h is the height of the cuboid, then the sum of areas of six rectangles of a cuboid gives the total surface area of the cuboid. The formula for it is given below.

Total surface area of a cuboid = 2 [( l × b ) + ( l× h ) + ( b× h )]Lateral Surface Area of Cuboid

The sum of the area of 4 side faces i.e. leaving the bottom and the top face gives the lateral surface area of a cuboid. An example of the lateral surface area is the sum of the area of the four walls of a room. The formula to calculate the lateral surface area of a cuboid is

Area of four sides = 2 ( l × h ) + 2 ( b× h ) = 2 ( l + b ) × h = perimeter of base ×height

or simply,

Lateral surface area of a cuboid = 2(l+b)h

Volume of Cuboid

The volume of a cuboid can be found by multiplying the base area with the height. Therefore,

volume (V) = A x h = (l x b) x h. In simple terms,

Volume of cuboid (v) = l × b × h

where l is the length, b is the base and h is the height of the cuboid.

Diagonal of a Cuboid

The length of the longest diagonal of a cuboid is given by

Length of diagonal of cuboid = √ (l² + b² + h²)