Total Surface Area
Area including the base(s) and the curved portion corresponds to the overall surface area. It is the amount of the area enclosed by the object’s surface. If the form has a curved base and surface, so the sum of the two regions would be the total area. The Total Surface Area can be defined as “the total area covered by an object including its base as well as the curved part. If an object has both the base and curved area then the total surface area will be equal to the sum of a base and curved area “.
- The total surface area is the total area occupied by an object.
- For example, take a cuboid as an example the cuboid has 6 faces, 12 edges, and 8 vertices.
Total Surface Area = Base Area + Curved Area
- Sum of all those total of 6 areas will be our total surface area of the particular shape
Example:
Given below is a cuboid having its dimension given as length = 8 cm,breadth = 4 cm and height = 6 cm, find the TSA of a cuboid
given l = 8cm, b = 4cm, h = 6cm
TSA = 2((l * b) + (l * h) + (b * h))
= 2((8 * 4) + (8 * 6) + (4 * 6))
= 2((32) + (48) + (24))
= 2(104)
= 208
TSA of the cuboid is 208cm.
Surface Areas and Volumes
Three dimensions can be measured, length, width, and height, for any object that you can see or touch. There are certain dimensions of our home that we live in. The rectangular display screen/Monitor you’re looking at has a width and breadth of its length. For every three-dimensional geometrical structure, surface area and volume are measured.
Aera covered by the object’s surface is the surface area of any given object. Whereas the quantity of space available in an object is volume.
Table of Content
- Surface Area
- Total Surface Area
- Curved Surface Area/Lateral Surface Area
- Volume
- Formulae of Surface Area and Volume
- Examples on Surface Areas and Volumes
- FAQs on Surface Area and Volume Formulas
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