Mensuration and Measurement

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What is Mensuration?

Mensuration can be explained as an act of measurement. We live in a three-dimensional world. The concept of measurement plays an important role in primary as well as secondary school mathematics. Moreover, measurement has a direct connection to our everyday lives. When learning to measure objects we learn to do so for both 3D and 2D objects.  Mensuration is the branch of mathematics which studies the measurement of the 2D and 3D figures on parameters like length, volume, shape, surface area etc.

Objects or quantities can be measured using both standard and nonstandard units of measurement. For example, a non-standard unit of measuring length would be handspans. You can even do an activity on it. Asking children to measure the length of objects using handspans. Let children notice that while measuring objects using non-standard units there will always be a scope of a discrepancy. Hence the need for standard units of measurement. To measure parameters like length, weight and capacity we now have units like kilometre, metre, kilogram, gram, litre, millilitre etc.

Topics closely related to mensuration and measurement

Given below are two images showing all the topics that are related to concepts of mensuration. As you can see the concepts connect to other higher-order concepts physics, product designing. To be proficient at these concepts it is important for children to be well versed with basics like operating on quantities, understanding lines and angles. 

Sub Topics

Given below are the topics that come under mensuration as a track. Click on the links below to understand these topics. You can also download Free Cuemath worksheets for practice.

How do Cuemath students learn Mensuration and Measurement?

Mensuration as a topic is introduced in pre-primary. Kids learn about which objects are long & short, heavy & light. They eventually learn to measure objects using non-standrd units of measurement. After they are comfortable and familiar with the concept of measurement they learn to measure objects using standard units of measurement. Eventually, they move on to converting the units and also operating on them. 

Why is mensuration important?

Mensuration is an important topic with high applicability in real-life scenarios. Given below are some of the scenarios. 

  • Measurement of agricultural fields, floor areas required for purchase/selling transactions.

  • Measurement of volumes required for packaging milk, liquids, solid edible food items.

  • Measurements of surface areas required for estimation of painting houses, buildings etc.

  • Volumes and heights are useful in knowing water levels and amounts in rivers or lakes.

  • Optimum cost packaging sachets for milk etc. like tetra packing.

Simple Ways to learn about mensuration and measurement 

  • Using math manipulatives like solid shapes and nets. Solid shapes will help students understand faces, edges and vertices. Nets will help students visualise the structure of 3D shapes. 

  • You can ask children to identify and show you some shapes that resemble the 3D shapes. 

  • Questioning children in everyday life situations. For example, when you are travelling and you see a signboard which says 50kms to the destination how many metres would that be. 

  • Create Charts for students to remember different rules of conversion.

FAQs on Mensuration

1. What is the difference between mensuration and geometry?

Mensuration refers to the calculation of various parameters of shapes like the perimeter, area, volume etc. whereas, geometry deals with the study of properties and relations of points and lines of various shapes.

2. Who introduced mensuration?

Archimedes is remembered as the greatest mathematician of ancient era. He contributed significantly in geometry regarding the area of plane figures and areas as well as volumes of curved surfaces.

 

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