Little Architects
A model uses solids to represent parts of a building. Count every cube in each column, including cubes supporting the top one.
Before you try
Before you play, make a prediction: Two columns have heights 2 and 4. How many cubes? Explain what you expect and what part of the model will help you check it.
Try it out
Interactive activity
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What happened?
Move a control to see what changes and why.
The game practises one idea at a time with simple drawn pictures. Check the same idea with real objects and your NCERT textbook (Chapter 1: Shapes Around Us, pages 1–23).
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Try these ideas
- Build the skyline, then compare the total with the sum of its column heights.
- Try a new puzzle with ↻. Describe what changed and which mathematical rule stayed the same.
- Complete a round, then explain your method before you move to the next one.
Why it works
A model uses solids to represent parts of a building. Count every cube in each column, including cubes supporting the top one.
Columns of heights 2, 3 and 1 use 2 + 3 + 1 = 6 cubes. Build the skyline, then compare the total with the sum of its column heights.
A top view hides cubes below the top cube. Use column heights to count the entire model.
This activity connects to Shapes Around Us, NCERT Class 4 maths, printed pages 1–23. Use the picture or objects to explain each step before relying on a calculation. The game practises one part of the chapter at a time; the other three activities extend the chapter’s ideas.
Worked example: A building has columns of heights 3, 2, 4 and 1. How many cubes are used? Count every column from the ground upwards. Add 3 + 2 + 4 + 1 = 10 cubes. The top faces alone do not give the total.
Check your understanding
Question 1 of 2
Two columns have heights 2 and 4. How many cubes?
Which solid has two matching triangular bases?
Explain it in your own words
What changed? Why did it happen? Where might you notice this in everyday life?
For parents & teachers
- Try with everyday materials. Build the skyline, then compare the total with the sum of its column heights. Ask the child to make a new example using paper, counters, household objects or a labelled sketch.
- Listen to the explanation. A top view hides cubes below the top cube. Use column heights to count the entire model. Ask “How could we check?” and encourage a second representation of the same idea.