Question

A cube, a triangular prism and a square pyramid of equal height are resting on a surface along a straight line, arranged in a random order. If the source of light is fixed and the light rays are parallel, which of the option shows the shadows correctly in top view?

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

The Correct Option is D

To determine which option shows the shadows correctly in the top view for the cube, triangular prism, and square pyramid of equal height, consider how each shape casts shadows under parallel light:

• A cube will cast a square shadow on the plane below when viewed from above, as its top face is parallel to the surface.
• A triangular prism will cast a rectangular shadow, assuming the triangular face is perpendicular to the plane below because the top view will resemble a rectangle formed by its long rectangular face.
• A square pyramid will cast a triangular shadow. Although it has a square base, the light converges towards the apex, reducing the shadow to a triangle in top view.

Analyzing the options, the correct arrangement of shadows from left to right would be:

• Square (Cube)
• Rectangle (Triangular Prism)
• Triangle (Square Pyramid)

This matches the shadow configuration in the fourth image where the shadows correspond sequentially with the descriptions above.