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Block Counting Master: 3D Spatial Reasoning

  • Feb 8
  • 2 min read

The Mission: 

You are presented with a stack of 3D blocks. Your task looks simple—count them! But wait, some blocks are hidden underneath or behind others. You must use your spatial imagination (or the helpful tools) to calculate the Total Volume correctly.


Math Skills:

  • Volume & Counting: Calculating total units in a 3D structure.

  • Spatial Reasoning: Visualizing hidden objects based on visible top layers.

  • Decomposition: Breaking a complex shape into layers or rows to count easier.


How to Play:

  1. Observe the Shape: Look at the block structure. Try to estimate how many blocks are there, including the ones you can't see.

  2. Use Tools:

    • Color Layers: Click this button to paint each height level a different color. This makes it easier to see rows.

    • Interactive Layers: Once colored, you can click the Layer Buttons on the right to "lift" specific layers up and see what's underneath!

  3. Make a Guess: Type your number into the box and click the Check (✓) button.

  4. Learn the Math: If you get it right (or want to cheat), the Show Calculation button will light up. Click it to see the math formula (e.g., Layer1+Layer2=Total).

積木數數大師：3D 空間推理


任務簡介: 

眼前有一堆 3D 積木。你的任務看似簡單——數數看！但等等，有些積木被藏在下面或後面。你必須運用空間想像力（或使用輔助工具）來正確計算 總體積。


數學技能:

  • 體積與計數: 計算 3D 結構中的總單位數。

  • 空間推理: 根據可見的頂層推斷隱藏的物體。

  • 拆解: 將複雜形狀拆解為「層」或「排」以便計算。


玩法說明:

  1. 觀察形狀: 看著積木結構。試著估算共有多少塊積木，包括那些你看不到的。

  2. 使用工具:

    • 分層填色 (Color Layers): 點擊此按鈕將不同高度塗上不同顏色。這能讓你更容易看清每一層。

    • 互動圖層: 填色後，你可以點擊右側的 圖層按鈕 將特定層「升起」，查看下面藏著什麼！

  3. 輸入答案: 在框中輸入數字，然後點擊 檢查 (✓) 按鈕。

  4. 學習算式: 如果你答對了（或想直接看答案），顯示算式 (Show Calculation) 按鈕會亮起。點擊它可查看數學公式（例如：第1層+第2層=總數）。

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