Cuboid how many faces vertices edges

The opposite faces on a cuboid are equal in size. A cuboid has 12 edges. It has 4 horizontal edges around the top rectangular face and 4 horizontal edges around the bottom rectangular face.

It also has 4 vertical edges connecting the vertices of the top rectangular face to the 4 vertices of the bottom rectangular face. A cuboid has 8 vertices. It has 4 around the top rectangular face and 4 around the bottom rectangular face. A cuboid has the same number of faces, edges and vertices as a cube. This is because a cube is a special type of cuboid that has all of its edges the same size.

The difference between a cube and a cuboid is that a cube has equal edge lengths, whereas a cuboid is longer in at least one direction. When teaching 3D shape names, it is worth comparing a cube and cuboid alongside each other to identify the differences between the two.

The opposite faces on a cuboid are equal and can be coloured in the same colour on your net. Faces, Edges and Vertices of a Sphere A sphere has 1 curved surface, 0 flat faces, 0 edges and 0 vertices.

A sphere is a 3D circle. A sphere is ball-shaped and is perfectly round, which means that it is not longer in a particular direction than any other. A sphere contains no flat faces but it has one continuous curved surface.

A sphere is a shape that contains no edges or vertices. This means that it feels smooth to touch all the way around. It can help to pick up a spherical object and feel for edges and vertices.

Whilst the net may be useful to help visualise the shape, we recommend using a ball or perfect sphere for this exercise as the net will be very difficult to make spherical with no clear edges or vertices. Faces, Edges and Vertices of a Cylinder A cylinder has 2 flat faces, 1 curved surface, 2 circular edges and no vertices. The top and bottom faces are flat and circular. A curved surface wraps around the outside of these 2 faces. The cylinder has two identical circular faces on the top and bottom.

When viewed from the top or bottom, a cylinder looks circular. A cylinder has 2 curved edges that wrap around the circular faces on the top and bottom of the shape. A cylinder has no vertices. This is because it has only 2 edges and the 2 edges do not meet each other. The curved face of a cylinder forms a rectangle when it is rolled out flat and the net of a cylinder can help to show this. Everyday objects that are cylinders include food tins and batteries.

Toilet rolls are also common cylindrical objects but they do not have the top and bottom circular faces that a true cylinder should have. With cylinders containing circles and spheres being rounded in appearance, it can be common to mix these two shape names up. The easiest way to tell the difference between a cylinder and a sphere is that a cylinder has edges. It is worth comparing the two alongside each other and feeling the edges on a cylinder, which the sphere does not have.

Both a cylinder and a sphere will roll since they both contain a curved face. Spheres will roll in every direction, however, the cylinder will only roll in one direction when placed on its side. The bottom face is a square and there are also 4 more triangular faces around the side of the shape. There are 4 vertices around the square base plus one more on the tip of the pyramid.

A square-based pyramid contains 5 faces. The base is a square face and there are 4 triangular faces around the sides. These 4 triangular faces meet together at the tip of the pyramid. The square-based pyramid contains 8 edges. There are 4 horizontal edges around the square base and 4 more sloping edges between each triangular face.

The square-based pyramid contains 5 vertices. There are 4 around the square base and one more at the tip of the pyramid.

The Egyptian pyramids are examples of real-life square-based pyramids. There are several types of pyramid, which are named by the face of the base. Faces, Edges and Vertices of a Cone A cone contains 1 flat circular face, 1 curved surface, 1 circular edge and 1 vertex. The vertex is formed from the curved surface and it is directly above the centre of the circular base.

A cone contains 1 flat circular face on its base. It also has a curved surface wrapping around this curved base. Technically it has 1 face in total but often the curved surface is included in the count to make 2 faces. A cone contains 1 circular edge that wraps around the bottom circular face.

A cone contains 1 vertex which is on the very top of the shape directly above the centre of the circular base. For example, a cuboid has 6 faces. When thinking about 2d and 3d shapes, it is important to know that a 2d shape merely represents the face of a 3d shape. It is also important to know that as our reality is constructed in 3 dimensions, it is impossible to physically handle 2d shapes as we are surrounded by 3-dimensional shapes.

Although an interactive concept for the classroom, 2d shapes can only exist as 2 dimensional drawings. You can have both flat faces and curved faces, but I find it helpful to refer to curved faces as curved surfaces as it matches well with the visual of the shape.

A prism is a solid object, geometric shape or polyhedron where the faces of both ends are the same shape. As such, students will come across many types of prisms throughout their schooling. Common ones include cubes, cuboids, triangular prisms, pentagonal prisms and hexagonal prisms.

Children need to be formally introduced to the vocabulary of vertices, faces and edges in Year 2 when studying geometry. However, teachers may make the choice to introduce this vocabulary earlier on.

From this point on, the national curriculum does not reference vertices, faces and edges explicitly again, so teachers in other year groups will have to continue to use this vocabulary when looking at shape.

Students will use the knowledge of vertices, faces and edges when looking at 2d shapes as well as 3d shapes. Knowing what edges are and identifying them on compound shapes is crucial for finding the perimeter and area of 2d compound shapes.

It is an important foundation for later years when dealing with different maths theorems, such as graph theory and parabolas. Any object in real life has vertices, faces and edges. For example, a crystal is an octahedron — it has eight faces, twelve edges and six vertices. Knowing these properties for different three-dimensional shapes lays the foundation for various industries such as architecture, interior design, engineering and more. Answer: 6 faces. They can have 2 square faces and 4 rectangular faces or just 6 rectangular faces.

For all the common prisms cubes, cuboids, triangular prisms, pentagonal prisms and hexagonal prisms add the faces and vertices together and subtract the edges. What do you notice about the answers? Answer: The answer is always 2. Wondering about how to explain other key maths vocabulary to your children?

Check out our Primary Maths Dictionary , or try these:. You can find plenty of geometry lesson plans and printable worksheets for primary school pupils on the Third Space Learning Maths Hub.

Learn more or request a personalised quote to speak to us about your needs and how we can help. Our online tuition for maths programme provides every child with their own professional one to one maths tutor. One to one interventions that transform maths attainment. 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? How many faces, edges and vertices does a cylinder have?

How many faces, edges and vertices does a hemisphere have? How many faces, edges and vertices does a cone have?