lateral surface area meaning

The lateral surface of an object is all of the sides of the object, excluding its base and top (when they exist). The lateral surface area is the area of the lateral surface. This is to be distinguished from the total surface area, which is the lateral surface area together with the areas of the base and top.

What is lateral and total surface area?

The total surface area of a solid is the sum of the areas of all of the faces or surfaces that enclose the solid. The faces include the tops and bottoms (bases) and the remaining surfaces. The lateral surface area of a solid is the surface area of the solid without the bases.

Where is the lateral surface area?

Lateral indicates the side of something. Therefore, lateral surface area is found by finding the surface area of the sides of the object. This is done by finding the perimeter of the base and multiplying it by the height of any three-dimensional figure.

What is lateral surface area of rectangle?

The lateral surface area of any right rectangular prism is equivalent to the perimeter of the base times the height of the prism. Therefore, the lateral surface area = P x h [Square units]

What is lateral surface area of cube?

Lateral surface area of a cube is the sum of areas of 4 of its faces, excluding the areas of top and bottom faces. The area of each face of a cube of side ‘a’ is a2. ⟹ The sum of areas of 4 faces = 4a2. ∴ Lateral surface area of a cube of side ‘a’ is equal to 4a2 .

What is lateral surface area of prism?

The lateral surface area of a prism is the sum of the areas of its lateral faces. The total surface area of a prism is the sum of the areas of its lateral faces and its two bases.

What is lateral surface area of sphere?

The Greek mathematician Archimedes discovered that the surface area of a sphere is the same as the lateral surface area of a cylinder having the same radius as the sphere and a height the length of the diameter of the sphere. The lateral surface area of the cylinder is 2πrh where h=2r .

Is LSA and CSA same?

Curved Surface Area (CSA) – It includes the area of all the curved surfaces. Lateral Surface Area (LSA) – It includes the area of all the surface excluding the top and bottom areas.

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