Question

The LSA (lateral surface area) of a cube of side \[1cm\] is
(1) \[16\;c{m^2}\]
(2) \[4\;c{m^2}\]
(3) \[2\;c{m^2}\]
(4) \[1\;c{m^2}\]

Answer 1

Hint: A cube is a three-dimensional object identified by the XYZ plane. There are six faces, eight vertices, and twelve edges on this object. Each of the cube's faces are square and have the same dimensions.

Complete step-by-step answer:
All of an object's sides, except its base and top, are considered its lateral surface. Area is basically the space occupied by a shape in the given plane. There are different shapes in geometry hence each will have a different formula to find its lateral surface area.
The area of the four sides of a cube will be the lateral surface area. Examples of cubic shape are dice, ice cubes, boxes,
It can be calculated with the help of following formula:
 \[4{a^2}\;sq.units\]
Here \[{a^2}\] is the square of the length of the cube.
Comparing with the above formula, we can find the LSA of cube with side \[1cm\] as:
 \[ = 4{(1)^2}\;c{m^2}\]
Square of \[1\] will always be \[1\] .
Therefore,
 \[ = 4\;c{m^2}\]
Hence Option (2) \[4c{m^2}\] is the correct answer.
So, the correct answer is “Option 2”.

Note: If we add the area of top and bottom in the lateral surface area, we get the total surface area of the object. Formula of total surface area of the cube will be \[6{a^2}\;sq.units\] (as the length of top and bottom both will be the same in cubic shape).
Remember to denote the unit of measurement after finding out the area of the cube. It will be in the square of (unit of measurement).
Cube should not be confused with cuboid. The main distinction between a cube and a cuboid is that a cube has six identical square-shaped faces, while a cuboid has rectangular faces.