Mensuration Maths- Definition
A branch of mathematics that talks about the length, volume, or area of different geometric shapes is called Mensuration. These shapes exist in 2 dimensions or 3 dimensions. Let’s learn the difference between the two.
Differences Between 2D and 3D shapes
|2D Shape||3D Shape|
|If a shape is surrounded by three or more straight lines in a plane, then it is a 2D shape.||If a shape is surrounded by a no. of surfaces or planes then it is a 3D shape.|
|These shapes have no depth or height.||These are also called solid shapes and unlike 2D they have height or depth.|
|These shapes have only two dimensions say length and breadth.||These are called Three dimensional as they have depth (or height), breadth and length.|
|We can measure their area and Perimeter.||We can measure their volume, CSA, LSA or TSA.|
Mensuration in Maths- Important Terminologies
Let’s learn a few more definitions related to this topic.
|Area||A||m2 or cm2||The area is the surface which is covered by the closed shape.|
|Perimeter||P||cm or m||The measure of the continuous line along the boundary of the given figure is called a Perimeter.|
|Volume||V||cm3 or m3||The space occupied by a 3D shape is called a Volume.|
|Curved Surface Area||CSA||m2 or cm2||If there’s a curved surface, then the total area is called a Curved Surface area. Example: Sphere|
|Lateral Surface area||LSA||m2 or cm2||The total area of all the lateral surfaces that surrounds the given figure is called the Lateral Surface area.|
|Total Surface Area||TSA||m2 or cm2||The sum of all the curved and lateral surface areas is called the Total Surface area.|
|Square Unit||–||m2 or cm2||The area covered by a square of side one unit is called a Square unit.|
|Cube Unit||–||m3 or cm3||The volume occupied by a cube of one side one unit|
What is a 2D Shape?
A 2D diagram is a shape laid down on a plane by three or more straight lines or a closed segment. Such forms do not have width or height; they have two dimensions-length and breadth and are therefore called 2D shapes or figures. Of 2D forms, area (A) and perimeter (P) is to be determined.
What is a 3D Shape?
A 3D shape is a structure surrounded by a variety of surfaces or planes. These are also considered robust types. Unlike 2D shapes, these shapes have height or depth; they have three-dimensional length, breadth and height/depth and are thus called 3D figures. 3D shapes are made up of several 2D shapes. Often known as strong forms, volume (V), curved surface area (CSA), lateral surface area (LSA) and complete surface area (TSA) are measured for 3D shapes.
Introduction to Menstruation: Important Terms
Until we switch to the list of important formulas for measurement, we need to clarify certain important terms that make these measurement formulas:
Area (A): The area is called the surface occupied by a defined closed region. It is defined by the letter A and expressed in a square unit.
Perimeter (P): The total length of the boundary of a figure is called its perimeter. Perimeter is determined by only two-dimensional shapes or figures. It is the continuous line along the edge of the closed vessel. It is represented by P and measures are taken in a square unit.
Volume (V): The width of the space contained in a three-diMensional closed shape or surface, such that, the area by a room or cylinder. Volume is denoted by the alphabet V and the SI unit of volume is the cubic meter.
Curved Surface Area (CSA): The curved surface area is the area of the only curved surface, ignoring the base and the top such as a sphere or a circle. The abbreviation for the curved surface area is CSA.
Lateral Surface Area (LSA): The total area of all of a given figure’s lateral surfaces is called the Lateral Surface Area. Lateral surfaces are the layers covering the artefact. The acronym for the lateral surface area is LSA.
Total Surface Area (TSA): The calculation of the total area of all surfaces is called the Cumulative Surface Region in a closed shape. For example, we get its Total Surface Area in a cuboid by adding the area of all six surfaces. The acronym for the total surface area is TSA.
Square Unit (/): One square unit is simply the one-unit square area. When we quantify some surface area, we relate to the sides of one block square to know how many of these units will fit in the figure given.
Cube Unit (/): One cubic unit is the one-unit volume filled by a side cube. When we calculate the volume of any number, we refer to this cube of one unit and how many these component cubes will fit in the defined closed form.
Tools Require for Mensuration
Calliper – A tool for measuring the diameter.
Try Square – A tool for determining the squareness and flatness of a surface.
Meter Stick – A measuring device with a one-meter length.
Compass – An arc and circle drawing tool.