Home › Academy › Characteristic positions

Characteristic positions

Why it matters

The same polyhedron changes completely depending on how it rests. In the exam it is common to ask for the tetrahedron or the cube in a specific position: you must deduce the plan before drawing the elevation.

Cube in three positions

STEP 1 / 3
LTbase en VM
1
Resting on a face

The simplest position: the base is a square in true size in the plan and the vertical edges rise to the height of the cube.

Practical rule: the height of the polyhedron in each position is a known length: the edge a (resting on a face), the diagonal of a face a√2 (resting on an edge) or the diagonal of the cube a√3 (resting on a vertex). Work out that height before you start.

Open the editorSolved exercises