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The lateral surface area of a cuboid is given by 2(length + breadth) × height. Similarly, the lateral surface area of a cube of side “a” is equal to 4 × (side) 2. Lateral Area for Cylinder. The Curved or lateral Surface Area of a Cylinder is given by 2 × π × r × h where, r = base radius, and h = height of the cylinder. The total ...
The lateral surface area is the surface area of the sides of any three dimensional figure. Each figure may have a different base, but the lateral surface area is found the same way. Find the ...
The lateral surface area of a three-dimensional object is the surface area of the object minus the area of its bases. For example, consider our die. We found that the surface area of a six-sided ...
Surface area and volume are calculated for any three-dimensional geometrical shape. The surface area of any given object is the area or region occupied by the surface of the object. Whereas volume is the amount of space available in an object. In geometry, there are different shapes and sizes such as sphere, cube, cuboid, cone, cylinder, etc.
The surface area of a sphere formula is given by, A = 4 π r 2 square units. For any three-dimensional shapes, the area of the object can be categorised into three types. They are: Curved Surface Area; Lateral Surface Area; Total Surface Area; Curved Surface Area: The curved surface area is the area of all the curved regions of the solid.
Surface area formulas in geometry refer to the lateral surface and total surface areas of different geometrical objects. To recall, the surface area of an object is the total area of the outside surfaces of the three-dimensional object i.e, the total sum of the area of the faces of the object. It is measured in terms of square units.
Total Surface Area of a Cuboid (TSA) = 2 (lw + wh + lh) square units. The above formula gives the total surface area of a cuboid having all six faces. Lateral Surface Area of a Cuboid. The lateral surface area of a cuboid is the sum of 4 planes of a rectangle, leaving the top (upper) and the base (lower) surface.
Lateral area of sphere = 4πr\ (^2\) Substituting the value of ‘r’ and 3.14 for π in the formula, Lateral area = 4 x 3.14 x (16)\ (^2\) = 3215.36. Hence, the lateral area of the spherical ball is 3215.36 square centimeters. Now, if the spherical ball is divided into two equal parts, then we need to find the lateral area for the hemisphere.
The area of this lateral surface is referred to as the lateral surface area of the cylinder. We can calculate the lateral surface area of a cylinder by multiplying the circumference of its circular base by its height. Lateral Surface Area of Cylinder, LSA = Base Circumference x height. Lateral Surface Area of Cylinder, LSA = 2πr x h.
A pyramid’s lateral surface area is the sum of the areas of all its side faces (which are triangles). Lateral Surface Area \(=\left ( \frac{1}{2} \right )PH\) can be used to calculate the lateral surface area of a pyramid, where ‘P’ is the base perimeter and ‘H’ is the slant height.