Cuboid has how many faces

In third grade geometry we will discuss in brief about some of the common solid figures named below: i Cube: Definition of cube, parts of a cube, properties of a cube. Definition of a cube:. Two adjoining plane — surfaces meet at an edge. There are 12 edges in a cube and all the 12 edges are equal in length. These edges are straight edges. The meeting point of two edges is called a vertex.

In a cube there are 8 such vertices. Parts of a cube:. A cube has six faces and all the faces of a cube are square in shapes. Each face has four equal sides. There are 12 edges in a cube. All the 12 edges are equal in length because all faces are squares. There are 8 vertices in a cube. There are 2 diagonals in each face so altogether there are 12 diagonals in the cube. There are 4 space diagonals in a cube. Properties of a cube:. Definition of cuboid:.

The cuboid has 6 rectangular faces. Now, imagine a shape that is formed when many congruent rectangles are placed one on top of the other. The shape thus formed is called a cuboid. Observe the following cuboid which shows its three dimensions: length, width, and height.

It should be noted that there is no strict rule according to which an edge of a cuboid shape should be named as its length, width breadth , or height. However, it is understood that if a cuboid is placed flat on a table, then the height represents the length of any vertical edge; the length is taken to be the larger of the two dimensions of the horizontal face of the cuboid, and the width is the smaller of the two dimensions.

These dimensions of a cuboid are denoted by 'l' for length, 'w' for width breadth , and 'h' for height. Apart from these, the face of a cuboid is the flat surface; the edge is the line segment connecting two adjacent vertices; and the vertex is a point at which two or more edges meet.

Considering the three main dimensions of a cuboid to be the length l , width w , and height h , observe the basic formulas of a cuboid in the following table. Since a cuboid is a 3D shape, there are two types of diagonals in it:. Face diagonals can be drawn by connecting the opposite vertices on a particular face of a cuboid and we know that only two diagonals can be drawn on one face of a cuboid.

Since a cuboid has 6 faces, a total of 12 face diagonals can be drawn in a cuboid. Space diagonal is a line segment that joins the opposite vertices of a cuboid. The space diagonals pass through the interior of the cuboid. Therefore, 4 space diagonals can be drawn inside it. The important properties of a cuboid help us to identify a cuboid shape easily. They are as follows:. The total area occupied by a cuboid is considered as the surface area of a cuboid.

Since a cuboid is a 3D figure, the surface area will depend on the length, breadth, and height. Hence, the formulas to find the surface area of cuboid are given below:. Find out more. Support for your school next term Personalised one to one maths lessons designed to plug gaps, build confidence and boost progress Register your interest. Group Created with Sketch. Register for FREE now. Neil Almond. What are vertices? What are edges? What are faces? Vertices, faces and edges of common 3d shapes How many faces, edges and vertices does a cuboid have?

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When will my child learn about vertices, faces and edges in primary school? How do vertices, faces and edges relate to other areas of maths? How do vertices, faces and edges relate to real life? Vertices, faces and edges example questions. Download Free Now! Related Articles. What Is Column Addition? What Is Column Subtraction? We use essential and non-essential cookies to improve the experience on our website.

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