Prove the formula of lateral surface area of cube

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Solution

We know that a cube is a solid bounded by six square faces. the total surface area of a cube is the sum of areas of all square faces.The lateral area means the surface area of the cube without the area of the top and bottom square faces.The unit used to measure the lateral area of a cube is square units.

So the lateral area of a cube = 4(area of square) square units

= 4(a²) square units

= 4a² square units

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