The lateral surface area of any right rectangular prism is equivalent to the perimeter of the base times the height of the prism. The lateral surface area of a rectangular prism is the sum of the surface area of all its faces without the base of the rectangular prism. Lateral Surface Area of a Rectangular Prism Let us understand both of them one by one. When we talk of surface areas of a rectangular prism, there are two types of surface areas of a rectangular prism – The surface area of a rectangular prism is the measure of how much exposed area a prism has. The volume of any geometrical figure is always given in cubic units. Volume of a rectangular prism = l x b x hįor example, we have a rectangular prism where the length of its base is 6 cm the width of the base is 5 cm while its height is 4 cm. The volume of the rectangular prism = base area of the rectangular prism x height Now, let the length of the rectangular prism = l andĪlso, the height of the rectangular prism = h The base area of the rectangular prism = length of the rectangular prism x breadth of the rectangular prism. Using the formula for the area of a rectangle, we can find the base area of a rectangular prism. This means that that the volume of any prism is obtained by multiplying its base area by its height. The unit of volume is the cubic unit or unit 3. In other words, the number of units used to fill a rectangular prism is called the volume of a rectangular prism. The volume of a rectangular prism is the amount of space covered by a rectangular prism. So, what will be the volume of a rectangular prism? Let us find out. We should recall that the space occupied by a three-dimensional object is called the volume of that object. Hence, we can say that due to its shape, a rectangular prism is also called a cuboid. The following figure shows the representation of faces, vertices and edges in a rectangular prism?įrom above we can see that there are strong similarities between the shape and properties of a cuboid and a rectangular prism. How many vertices does a rectangular prism have? It has 8 vertices In other words, the meeting point of a pair of sides of a polygon is called its vertex. Vertices – Points of intersection of edges of a polyhedron are known as its vertices.
How many edges does a rectangular prism have? It has 12 vertices It is similar to the sides we have in 2D shapes. In other words, an edge is a line segment on the boundary joining one vertex (corner point) to another. How many faces does a rectangular prism have? It has 6 faces.Įdges – Line segments common to intersecting faces of a polyhedron are known as its edges. Every side has two dimensions, be it a length and a breadth, or a breadth and a height or a length and a height. For example, observe one side of your room or that of a Rubik’s cube. In other words, a face refers to any single flat surface of a 3D shape. Before, that let us recall what we mean by faces, vertices and edges.įaces – Polygons forming a polyhedron are known as its faces. Let us now discuss about the faces, vertices and edges of a rectangular prism. The following figure gives an idea of a 3 dimensional shape and its attributes. These attributes are faces, vertices and edges. It is important to understand here that any 3 dimensional shape has three integral attributes. For example, the laptop, our rooms, mobile phones, ice cream, tennis balls, etc. In our everyday lives, we come across many solid shapes. In other words, they are solid objects and these objects have fixed shapes and sizes. This means that unlike two-dimensional shapes, three-dimensional shapes have thickness or depth. 3 Dimensional shapes or 3D shapes are the shapes that have all the three dimensions, i.e. In geometry, a three-dimensional shape can be defined as a solid figure or an object or shape that has three dimensions – length, width and height. Total Surface Area of a Rectangular Prism.
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