Can you tell what is the difference between the surface area and the total surface area of any shape? Both sound the same, right? So why do we have two different formulae for these? You will know the answers to these questions yourself, once you start observing shapes and figures closely. In this chapter, we …
Take a notebook and a pen, and draw a point on it. Now, measure the point that you’ve drawn. Did you get an answer? No? It’s because the point is not actually a geometrical figure. What we draw is an indicator, not a figure. Isn’t this interesting? Want to know more such interesting facts? Let’s …
In mathematics, various shapes are either 1-dimensional, 2-dimensional or 3-dimensional. In the previous grades, you might have learnt about some of them consisting of lines, squares, cubes and many more. In this chapter, we will learn in detail about lines and angles. We will explore different types of angles, like the adjacent and complementary angles. …
Triangles are polygons with least number of sides, i.e three. Interestingly you can divide any complex polygon into several triangles. This method is often used to calculate the area of a complex polygon by breaking it into triangles, thus reducing the complexity of calculation. Watch our videos to learn more about triangle, right-angled triangle, isosceles …
Wondering why this chapter is named as the area of parallelogram and triangle? What is the relation between them? To your surprise, a parallelogram is made from at least two triangles! Does it help us in any way? It surely does. Based on this, we can easily find the area of a parallelogram. There are …
Things look far different in real life as against their pictorial depictions. It is because pictorial depictions, make us understand the architecture of any design or structure in a specific way. To understand the architecture, it is necessary for us to be equipped with the knowledge of using specific tools and constructing the shapes. In …
What do you think a notebook, a matchbox and a mobile phone have in common? All these figures have four sides, and any structure with four sides is termed as ‘Quadrilateral’. The word itself gives us an idea of its meaning as the word ‘Quadri’ stands for ‘Four’ and the word ‘Lateral’ stands for ‘Sides’. …
In the previous chapter, we got introduced to the world of “Quadrilaterals”. Square, rectangle, rhombus are a few examples in this category. What if we tell you that you can construct a quadrilateral on your own? Wondering how? Well, some tools help you construct a quadrilateral. These tools not only help you build the entire …
We often check the depth of any water body before we jump into it. What does the word ‘Depth’ indicate here? It gives us an idea about the height of any structure or object. This height, or say, depth is a unique feature of the 3-D figures. Some classic examples of 3-D objects are sphere, …
If we ask, what is a volume? Your first answer will be related to that of a sound! Won’t it? You are right, but scientifically, not mathematically. In mathematics, the volume has an altogether different meaning. Volume in maths deals with space and area occupied by a particular item. For example, when you fill a …
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