Final answer:
The sketch for a cube with a diagonal axis of revolution would consist of a square (as the 2D shape) and a rod (as the axis) passing through two opposite corners of the square. By rotating the square 360° around the rod, you visualize the cube being formed.
Step-by-step explanation:
The question involves sketching a two-dimensional shape and its axis of revolution to create a cube with a diagonal axis. When we consider a cube and its properties of symmetry, we note that it has different rotational axes. A standard cube possesses three four-fold rotational axes (C4) which are perpendicular to its faces. However, more interestingly, a cube also has diagonal axes that run from one corner to the opposite corner; these are three-fold rotational axes (C3), requiring three 120° rotations for a full revolution.
If we want to render a cube through rotation about its diagonal axis, we could imagine the profile of the shape before rotation as a square, since slicing the cube along a plane perpendicular to the diagonal axis will result in a square. The diagonal axis would then pass through two opposite corners of the square (theoretical top-left to bottom-right, for example). By rotating this square profile around the diagonal axis, we can achieve the three-dimensional form of the cube.
A visualization tool would be a rod that represents the diagonal axis and a square (the two-dimensional shape) which, when spun around the rod, forms the cube.