Os dejo aqui la tarea de Geogebra :The Cube _Third Spanish task
La idea es saber si os resulta más cómodo trabajar aqui que en le twinspace. AUNQUE LAS RESPUESTAS HAY QUE PONERLAS EN EL TWINSPACE . NO PONER LAS RESPUESTAS AQUI.
Comentad con vuestras profesoras donde os resulta más cómodo trabajar.
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube can also be called a regular hexahedron and is one of the five Platonic solids. It is a special kind of square prism, of rectangular parallelepiped and of trigonal trapezohedron.
You can use the upper slide to get the lateral development of the figure, and the slide on the left to change the scale. Also you can move two points, the red one to move the figure and the white one to change the size of the edge. Move all four them to get familiar with the cube.
A) How many colours do you need so that two adjacent faces have not the same colour? Explain your answer.
B) How many different axis of symmetry can you find? Explain the answer. Draw them and make screen captures.
C) Use the lateral development to count the sides that the cube has.
D) How many vertexs and edges are there?
E) Look for information about the Euler formulae and check it if it is true here.
F1) For a specific size of the edge, Calculate the perimeter of a side, the area of a side and the volume of the cube.
F2) Repeat those calculations when you duplicate and triple the size of the edge.
F3) Check the answers in F1 and F2. What do you observe?
G) Image an inscribed sphere, which is its radius? Which is its volume?
H) Image a circumscribed sphere, which is its radius? Which is its volume?
I) Calculate the length of the diagonal of a side when the edge is 10 cm.
J) Calculate the length of the diagonal of the cube when the edge is 30 cm.
pff, Creación realizada con GeoGebra