- Multiview and isometric drawings are both orthographic projections. True or false? 2. An object’s axes in isometric drawing are its depth (x-), width (y-), and height (z-) axes. When projecting the object to create an isometric drawing, its (positive) x-, (positive) y-, and (positive) z-axes must make: a. Unequal angles with the projection plane. b. Equal angles with the projection plane. 3.When an object’s axes are projected isometrically, the images (also projections) of the (positive) x-, (positive) y-, and (negative) z-axes are separated by angles measuring: a. 60, 60, and 240 degrees. b. 45, 45 and 270 degrees. c. 120, 120, and 120 degrees. d. 40, 40, and 280 degrees.
please answer. - Multiview and isometric drawings are both orthographic projections. True or false?
- An object’s axes in isometric drawing are its depth (x-), width (y-), and height (z-) axes. When projecting the object to create an isometric drawing, its (positive) x-, (positive) y-, and (positive) z-axes must make:
a. Unequal angles with the projection plane.
b. Equal angles with the projection plane.
3.When an object’s axes are projected isometrically, the images (also projections) of the (positive) x-, (positive) y-, and (negative) z-axes are separated by angles measuring:
a. 60, 60, and 240 degrees. b. 45, 45 and 270 degrees. c. 120, 120, and 120 degrees. d. 40, 40, and 280 degrees.
The correct answer and explanation is:
- True. Both multiview and isometric drawings are forms of orthographic projection.
In orthographic projection, the goal is to represent a three-dimensional object in two dimensions. Multiview drawings show multiple 2D views (like the top, front, and side views) of the object from different perspectives. These views are projected perpendicularly to the projection plane, and each view is shown in true size and shape. Isometric drawings, on the other hand, are a specific form of axonometric projection, where the object is viewed at an angle and the axes are drawn at equal angles to the plane. While multiviews focus on clarity from different perspectives, isometric projections aim to provide a more comprehensive 3D representation on a 2D surface.
- b. Equal angles with the projection plane.
In isometric projection, the x-, y-, and z-axes of the object (depth, width, and height, respectively) must make equal angles with the projection plane. Specifically, in isometric drawing, the axes are typically positioned at 120° to each other on the projection plane, meaning the angles between the projections of the x-, y-, and z-axes are equal. This ensures that the three principal axes of the object appear proportionally scaled and provides a balanced, uniform view of the object.
- c. 120, 120, and 120 degrees.
When projecting the axes of an object isometrically, the projections of the x-, y-, and z-axes are separated by 120° angles. This creates an isometric grid where the object appears to be oriented symmetrically in three dimensions. The equal separation ensures that all dimensions are represented on the same scale. The 120° separation is fundamental to isometric projections because it preserves the proportionality and distortion of the object. Isometric drawings differ from perspectives in that the angles between the axes are constant and do not distort the object’s proportions as much, making it easier to interpret the object’s true dimensions.
In summary, both multiview and isometric projections serve different purposes in technical drawing: multiviews provide clarity by showing different perspectives, while isometric projections offer a single, more comprehensive view with equal angles between the axes.