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Lateral area, or lateral surface area, stands for a fraction of what is called a surface area. The difference between lateral and is exemplified in this section by a cube. Figure 3: Cube. A cube ...
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 ...
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 ...
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.
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.
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.
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.
Therefore, the lateral surface area of the cuboidal box is 360 cm 2. …(2) From (1) and (2), the lateral surface area of the cubical box is more than the lateral surface area of the cuboidal box. The difference between both lateral surfaces is 40 cm 2. (Lateral surface area of the cubical box – Lateral surface area of cuboidal box=400cm 2 ...