A teacher gives 36 tiles to students of class IV and asks them to arrange them in all possible rectangles. Which one of the following concepts cannot be addressed by using this activity?

Correct option is D

This activity of arranging 36 tiles into different rectangles can address the concepts of factors (as students find different pairs of numbers that multiply to give 36), multiplication (as they calculate the dimensions of the rectangles using multiplication), and area (since the number of tiles represents the area of the rectangle). However, volume involves three-dimensional shapes and requires an additional dimension (height), which is not part of this activity involving two-dimensional rectangles.
Hence, the correct answer is (d) Volume.
Information Booster:
1. Factors: Students identify pairs of factors of 36 by arranging the tiles into different rectangle shapes.
2. Multiplication: The students use multiplication to find the dimensions of the rectangles (e.g., 6 × 6, 4 × 9).
3. Area: The area of each rectangle corresponds to the total number of tiles (36 square units).
4. Volume: Since volume requires three dimensions (length, width, and height), it cannot be addressed through this two-dimensional activity.
Additional Information:
· This type of hands-on activity is excellent for reinforcing concepts like factors and area, helping students visualize mathematical relationships.