Question 7 of 8intermediate🔧 ApplyShort Answer2 marks

In how many different ways can you join 3 cubes? Try and see.

Correct Answer

Three cubes can be joined in 2 distinct ways:

(1) Straight line: All three in a row.

(2) L-shape: Two cubes side by side with the third attached to the side of one of them.

A vertical tower is not a distinct arrangement because it is simply a rotation of the straight line.

Exercise: Figure it Out (Section 9) | Q: 9 | (Page Page 7)
For More Understanding

Explanation

This question explores spatial arrangements of cubes up to congruence (rotations and reflections). With 3 cubes, there are only 2 distinct arrangements: a straight line (all three in a row) and an L-shape (two cubes side by side with one attached to the side). A vertical tower is just a rotation of the straight line, so it is not a separate arrangement. This develops spatial reasoning and combinatorial thinking.

Solution Steps

  1. All three in a straight line

  2. Two cubes side by side with the third attached to the side of one of them (L-shape)

  3. Note: A vertical tower is a rotation of the straight line and is not a distinct arrangement

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