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All of the sides of the object are the lateral surface of an object, except its base and top (when they exist). The lateral surface area is the lateral surface zone. This is to be distinguished from the overall surface area, which, along with the base and top areas, is the lateral surface area.

A cube has six equal-area faces and 12 equal-length edges. Therefore, the Lateral surface area of the cube is 4 * side^{2}.

L.S.A = 4 (a)^{2}

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A cuboid is a 3-dimensional figure whose all sides are rectangles. It has 6 rectangular sides which are known as faces, 8 vertices, and 12 edges. The rectangle faces are at right angles to one another. Therefore formula of the lateral surface area of the cuboid is mentioned below:

L.S.A = 2(l + b)h

Where l = length of a cuboid, b is the breadth of cuboid, and h is the height of a cuboid.

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The lateral area of a cylinder is the area of the rectangle which wraps around the side of the cylinder. Therefore formula of the surface area of the cylinder is mentioned below:

L.S.A = 2 * Ï€ * r * h

Where Ï€ = 22/7 or 3.14, r = radius of a cylinder, and h is the height of a cylinder.

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The lateral surface area of the cone is the area of the lateral or side surface only. The lateral surface area of the cone can be calculated as:

L.S.A = Ï€ * r * l

Where Ï€ = 22/7 or 3.14, r is the radius m, and l is the slant height. The slant height is defined as the shortest distance between the base to the apex along the surface of the solid.

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The lateral surface area of the sphere is related to the lateral surface area of a cylinder.

L.S.A of cylinder = 2Ï€ * r * h

Where h = 2r

So, the Lateral Surface area of Sphere= 4 * Ï€ * r^{2}

The lateral Surface area of the pyramid is the sum of the areas of its lateral faces.

L.S.A = 1/2 pl

Where p represents the perimeter of the base and l represents the slant height.

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The lateral surface area of a figure is a total surface area excluding the top and bottom of the figure, The formulas for calculating the surface area have been mentioned above with explanation.

FAQ (Frequently Asked Questions)

1. When it is Recommended to Use a Curved Surface Area?

Ans: The curved surface area refers to the area of a 3D figure that is only the curved portion. The lateral surface area and curved surface areas are, in general, of the same importance. For example, We use lateral surface area in the cuboid while its curved surface area in the case of the cylinder when you exclude its top and base surfaces.

2. Differentiate Between Total Surface Area and Surface Area?

Ans: Surface area means all the area in two dimensions that you can see - this means the length and width. In that case, total surface area means adding up the areas of all the surfaces. That means adding the surface area of all six sides to a cube.

3. How do You Calculate the Area?

Ans: For squares and rectangles, the simplest (and most widely used) area calculations are to Multiply its height by its width to find the region of a rectangle. You just need to find the length of one of the sides for a square (since each side is the same length) and then multiply it alone to find the area.