The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:
Shapes are all around us. The buildings, the pizza that we eat, the sun and the stars, the roads, and even the salt and sugar elements are all having different shapes. We look at some and ignore others, but shapes are omnipresent. You must have come across the 2D shapes, namely the circle, rectangle, square, rhombus, triangle and more. All these 2D shapes have two elements, namely the length and the breadth to describe their properties. But there is another type of geometric shapes called 3D shapes. They have three elements to describe them, which are length, breadth and height/depth. Visualizing Solid Shapes is easy as you know different types of geometrical shapes.
What does a 3D shape look like?
3D shapes are the actual elements or things that we can sense through our sensory organs. The third factor that is the depth gives it a realistic look to our eyes. Any 3D shape can be described using the faces, edges and vertex properties. We will look at different 3D objects and their different properties.
Here is a table explaining the different shapes with faces edges and vertices:
Shape NameFacesEdgesVertexCube6128Cuboid6128Prism596Pyramid585Triangular Pyramid464Cylinder320Cone221Sphere100
We have all been very good at finding the location of our friend’s house or the sweet shop. But how do we do this?
The thing that we use is called references. With each road or shop, we know that that reference will help us move in our desired direction. Suppose you are on the road going north, and by looking at any shop or any reference, you turn left to visit your desired place.
That’s the point of this section as it conveys that any place remains at the same location, but what changes are the observer’s perspective based on any reference. A map is a sheet that contains the size, scale and distance of any given objects. It helps us in finding the location and heading in the right direction.
Take out any map that you have and check these properties. You will find that each map has a fixed reference point or in scale (0,0) that is fixed. From that reference point, the different locations are made on the map.
Visualizing solid shapes means looking at the different properties of any given geometric shape and naming its name. The different properties to be looked at are the faces, vertices and the edges of the given object.
Solid shapes are 3D shapes which we can touch and feel. For example, you can touch a ball or a building. All these 3D shapes have three parameters, namely the length, breadth and the height.
To make a solid shape, you need three important factors, namely the length, breadth and height. After that, you need to know the particulars of the shape that you are trying to build. To know that you must find out the number of faces, edges and vertices that object has. Then you can make a solid shape.
A circle is not a solid shape as it doesn’t have height or depth in its making. Moreover, a circle is a 2D shape. The closest thing to a circle that is a solid shape is the sphere that has all the three important properties to be a 3D shape.
The basic difference between a 2D and 3D shape is its dimensions. For a 2D shape, you need two dimensions, namely the length and breadth to describe it completely. For 3D shape, you need three dimensions namely the length, breadth and height to describe it completely.
A rectangle is a 2D object, and hence is not a solid shape. It doesn’t need three dimensions to be described as we can make a rectangle by knowing the length and breadth alone. The closest solid shape to a rectangle is cuboid.
Learn more about solid shapes on MSVgo, an app with an extensive video library dedicated to explaining concepts with examples or explanatory visualizations or animations.
With a brief introduction to visualizing solid shapes, we looked at different kinds of shapes, including the 2D and 3D shapes. 3D geometric shapes are more common in daily observation as any object has three specific elements that are length, breadth and height. You can look around and find buildings in cuboid shape, sun in a spherical shape, your toys in dynamic 3D shapes. These geometric shapes make our life easier to understand different things and their properties.