Let's break down the step-by-step solution to the problem shown in the first image. The goal is to **draw an isometric figure where the number in each square represents the height of each tower**. ## Step-by-Step Solution ### 1. **Understand the Grid** The grid is a top-down view (plan) where each square contains a number. This number tells you how many cubes (the height) are stacked at that position. **Grid from the first image:** ``` [2 2 2 1] [3 2 1] [3 2 2 1] ``` *Note: There is a blank space (no tower) in the middle.* ### 2. **Identify the Heights** - Each square's number is the height of the stack at that spot. - The blank space in the middle has no cubes. ### 3. **Draw the Isometric Figure** #### a. **Create the Base Layout** - Draw an isometric grid with the same layout as shown in the problem: - 3 rows, 4 columns - Leave a missing spot (the blank square). #### b. **Stack the Cubes** - For each position, draw a stack of cubes equal to the number in the square. - Skip the blank spot. #### c. **Start from the Back** - It’s easiest to start drawing from the back row (top of the plan) to the front, stacking cubes from bottom to top for each position. ### 4. **Labeling for Reference** - Use the plan orientation: "Front" is bottom, "Right" is right side. --- ## **Visual Representation** ### Top-Down Plan (for reference): | 2 | 2 | 2 | 1 | |---|---|---|---| | 3 | 2 | | 1 | | 3 | 2 | 2 | 1 | Blank = empty (no cubes) --- ### Isometric Drawing Steps #### Row 1 (Back, from left to right): - Stack 2 cubes, 2 cubes, 2 cubes, 1 cube #### Row 2 (Middle, from left to right): - Stack 3 cubes, 2 cubes, **blank**, 1 cube #### Row 3 (Front, from left to right): - Stack 3 cubes, 2 cubes, 2 cubes, 1 cube --- ## **Final Answer** **The isometric figure should look like this:** Imagine a 3D figure where: - The back row has shorter towers on the right. - The front left has tallest towers. - There is a hole in the middle (no cubes). - Each tower's height matches the number in the plan. --- ### **Summary Table:** | | | | | |--------|--------|--------|--------| | (2) | (2) | (2) | (1) | | (3) | (2) | | (1) | | (3) | (2) | (2) | (1) | - **Each value = tower height** - **Blank = no cubes** --- ### **Visual Guide (Not to scale, but for clarity):** ``` Back Front 2 2 2 1 3 2 1 3 2 2 1 ``` - Draw isometrically, stacking cubes as per each number, and leaving the blank space empty. --- If you want a hand-drawn isometric diagram, you can use graph paper and start from the bottom left, drawing each tower as a stack of cubes, matching the numbers and leaving the middle blank. If you want a digital version, many online isometric drawing tools or block-building games can help visualize this!