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AREA OF CUBE

In geometry, a cube is a three-dimensional Solid object 

It has six square faces,  or sides, with three meeting at each vertex.

 All vertices are 90 degrees.  

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CUBE

SHAPE OF A CUBE

AREA OF CUBE Let the length of one side of cube be ‘a’

a

a

a

It is easy to see that the cube has six sides and each side is a square.

The area of one square is a × a = a2

Since there are 4 lateral faces, the lateral surface area, call it LSA is:

LSA = a2 + a2 + a2 + a2 

LSA = 4 × a2 Therefore, the LSA of cube is 4a2

The area of one square is a × a = a2

Since there are six faces, the total surface area, call TSA TSA is:

SA or TSA = a2 + a2 + a2 + a2 + a2 + a2

TSA = 6 × a2 Therefore, the SA of cube is 6a2

Q1) Find the LSA and TSA of a cube if the length of one side is 3 cm

Side=3 cm LSA = 4 × a2 LSA = 4 × 32

LSA = 4 × 9 = 36 cm2

TSA or Surface area = 6 × a2  Surface area = 6 × 32  Surface area = 6 × 3 × 3  Surface area = 54 cm2 

#Examples

Q2) Find the surfacearea ofa cube if the length of one side is 5 cm.

Q3) Find the LSA and surface area if the length of oneside is 6cm.

THANK YOU