Question 10 of 13intermediate💡 UnderstandShort Answer3 marks

What are the different shapes the projection of a cube can make under different orientations?

Correct Answer

A cube's projection can form three different shapes:

(1) Square: When one face is parallel to the projection plane.

(2) Rectangle: When viewed at an angle showing two faces.

(3) Regular Hexagon: In isometric projection when balanced on a corner vertex.

Note: The projection shape depends on the cube's orientation relative to the projection plane.

Exercise: Figure it Out (Section 5) | Q: 6 | (Page Page 28)
For More Understanding

Explanation

The chapter explains that when a cube is balanced on one corner vertex and projected, all edges have equal projected length, creating a regular hexagon (isometric projection). Other orientations give square or rectangular projections.

Solution Steps

  1. A cube's projection can be a square when one face is parallel to the projection plane.

  2. A cube's projection can be a rectangle when viewed at an angle showing two faces.

  3. A cube's projection can be a regular hexagon in isometric projection when balanced on a corner vertex.

  4. The projection shape depends on the cube's orientation relative to the projection plane.

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