Properties of 3 D Shapes Faces Edges and Vertices of Prisms and Pyramids

foreign properties of 3D shapes prisms and pyramids hello and welcome to tutoring hour in this video we'll learn about few solid shapes and discuss their properties we live in three-dimensional world and our world is filled with endless examples of 3D shapes we'll first take look at the prisms meet our first solid shape the rectangular prism and some countries rectangular prism is called cuboid rectangular prism has one two three four five and six bases the lines were two faces meet are called edges let's figure out the number of edges in rectangular prism one two three four five six seven eight nine ten eleven twelve edges the point where two edges meet is called corner or vertex let's find out how many vertices there are in rectangular prism there are one two three four five six seven and eight corners or vertices let's move on to our next prism the cube the six identical faces of the cube make it special rectangular prism let's find out how many edges there are in cube it has 12 edges let's find out the number of vertices it has there are eight vertices here what's next triangular prism it has five faces triangular prism has nine edges there are six vertices or corners coming up next is another solid shape the pentagonal prism it has seven faces pentagonal prism has 15 edges it is 10 vertices pause the video take look at the hexagonal and octagonal prisms and write down the number of faces edges and vertices in them hexagonal prism has eight faces 18 edges and 12 vertices an octagonal prism has 10 faces 24 edges and 16 vertices give yourself petal in the back for getting them right let's move on to the pyramids all pyramids have base and vertex all its side faces are triangles pyramids are named after the shape of their bases let's take look at our first pyramid the triangular pyramid it has four faces it has one triangular base and three triangular side faces triangular pyramid has six edges it has four vertices our next Pyramid has square base no points for guessing its name it is square pyramid square pyramid has five faces it has square base and four triangular side faces square pyramid has eight edges it has five vertices up next is the pentagonal pyramid pentagonal pyramid has six faces it has pentagonal base and five triangular side faces pentagonal pyramid has 10 edges it has six vertices let's take look at the faces edges and vertices of the three pyramids do you see pattern the number of side faces is the same as the number of sides in the base the total number of faces is the number of sides in the base plus one the number of edges is twice the number of sides in the base the number of vertices is the number of sides on the base plus one let's use this little trick and quickly fill up the faces edges and vertices of the hexagonal pyramid the base of hexagonal pyramid is obviously hexagon it has six sides and the number of faces is six plus one so we have seven here the number of edges is twice the number of sides in the base so we'll write 12 here the number of vertices is the number of sides on the base plus one so we'll write seven here as well we'll quickly do the same for the heptagonal and octagonal pyramids heptagonal pyramid has eight faces 14 edges and eight vertices and an octagonal pyramid has 9 faces 16 edges and nine vertices let's move on to solid shapes with curved surfaces here comes the cylinder our next solid shape cylinder has two flat faces and curved surface let's meet our next shape the cone cone has one flat face and one curved surface it has one vertex Here Comes our last shape the sphere how many edges and vertices do you see here sphere has no edges or vertices it has just one curved surface that was quite lot of information if you want to put your newfound knowledge to the test visit www.tutoringhour.com for practice worksheets smash the like And subscribe buttons and show us some love thanks for watching bye bye