2D representations of 3D shapes

A cube is made from smaller cubes, 5 by 5 by 5, then some of those cubes are removed. Can you make the specified shapes, and what is the most and least number of cubes required ?

Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.

Put your visualisation skills to the test by seeing which of these molecules can be rotated onto each other.

Make an accurate diagram of the solar system and explore the concept of a grand conjunction.

Can you make a new type of fair die with 14 faces by shaving the corners off a cube?

Weekly Problem 36 - 2007
Find the length along the shortest path passing through certain points on the cube.

An introduction to bond angle geometry.

Can you mentally fit the 7 SOMA pieces together to make a cube? Can you do it in more than one way?

Is it possible to remove ten unit cubes from a 3 by 3 by 3 cube so that the surface area of the remaining solid is the same as the surface area of the original?

A half-cube is cut into two pieces by a plane through the long diagonal and at right angles to it. Can you draw a net of these pieces? Are they identical?