GEOMETRIC SHAPES

Jorge Bernabéu Meseguer, 2º B ESO

Index1- Planes2- Prisms3- Cubes4- Pyramids5- Cylinders6- Cones7- Spheres8- Euler´s theorem

PlanesA PLANE is a flat surface with no thickness.Our world has three dimensions, but there are only two dimensions on a plane:• Length and width make a plane• x and y also make a plane

Two converged planes!

PrismsA PRISM is a solid object with:

• identical parallel ends• flat faces• and the same cross section all along its length

A skyscraper is a fantastic example!

CubesA CUBE is a solid formed by six identical square faces joined together along their edges. • Each of its 8 corners is called a vertex. • The cube can also be called a regular hexahedron. Just like the

Rubik’s cube!

PyramidsA PYRAMID is a polyhedron that has a base (which can be any polygon) and three or more triangular faces that meet at a point called the apex. • These triangular sides are also called the lateral faces to distinguish them from the base.

The pyramids in Egypt are a good example!

CylindersA CYLINDER is a closed solid that has two parallel circular bases connected by a curved surface. • It has a flat base and a flat top• It’s not a polyhedron as it has a curved surface

Think of a paper bin!

ConesA CONE is a solid that has a circular base and a a single vertex. If the vertex is over the center of the base, it is called a right cone. If it is not, it is called an oblique cone.

A traffic cone is an ideal example!

Spheres• A SPHERE is a solid geometric figure generated by the revolution of a semicircle about its diameter.• A round body whose surface is at all points equidistant from the centre. What better

example than a football!

Euler´s TheoremFor any polyhedron that doesn't intersect itself, the…• Number of Faces• plus the Number of Vertices (corner points)• minus the Number of Edges• always equals 2

V - E + F = 2

V = 8, E = 12 and F = 6

V - E + F = 8 - 12 + 6 = 14 - 12 = 2

The formula has the name of the famous Swiss mathematician Leonhard Euler (1707 - 1783)

By: jorge bernabeu meseguer