Final answer:
When a vertical cylinder with a base diameter of 50mm and a height of 60mm is cut by two perpendicular planes, the resulting shape, in a simplistic two-dimensional view, would resemble the letter 'L' with a circular and rectangular component.
Step-by-step explanation:
If we visualize a vertical cylinder being cut by two planes that are perpendicular to each other, we can determine the resulting shape. Assuming the planes cut through the center of the cylinder (which has a base diameter of 50mm and a height, or axis, of 60mm), we would see that the intersection of these planes with the cylinder creates certain geometric shapes.
If one plane cuts the cylinder horizontally at its midpoint, it would intersect the circular base and create a circle with a diameter of 50mm. The second plane, being perpendicular to the first, would cut the cylinder longitudinally, which would create a rectangle from a side view where its height is the height of the cylinder, 60mm, and the length is the diameter of the base, 50mm.
Therefore, the resulting shape after these two cuts would resemble the letter 'L' as the shared edge of the circle and the rectangle forms the corner of the 'L' shape. This is a simplistic geometrical interpretation of the result of such a cut. The actual three-dimensional figure is more complex but from the top view, it would look like two semicircles with a rectangle between them.