The difference between the total surface area and lateral surface area of a cube, if side of the cube is 11cm (in square cm), is ___________.

Let the side of the cube be a=11cm.
The formula for the Total Surface Area (TSA) of a cube is:

TSA=6a
2

The formula for the Lateral Surface Area (LSA) of a cube is:

LSA=4a
2

The difference between the total surface area and lateral surface area is:

Difference=TSA−LSA=6a
2
−4a
2
=2a
2

Substituting the value of a=11cm:

Difference=2×(11)
2
=2×121=242cm
2