Let's break down the problem step by step: ## Step 1: Understanding the Plan The grid at the top (A-B-C-D) is a "coded plan" representing the height of cubes stacked at each position. - **Rows** are labeled from top to bottom: A, D - **Columns** are labeled from left to right: A, B, C But here, they only show A, B, C, D at corners, so let's assume: - Top left: **A** - Top right: **B** - Bottom right: **C** - Bottom left: **D** The numbers in the 3x3 grid show **how many cubes are stacked** at each position. ``` A B C A 3 2 1 D 2 2 1 C 1 1 0 ``` ## Step 2: Interpreting the Isometric Drawings Let's identify which isometric sketch matches which corner. ### **Left Isometric Sketch** - The leftmost column (from bottom to top) has 3, 2, 1 cubes. - The middle column (from bottom to top) has 2, 2, 1 cubes. - The rightmost column (from bottom to top) has 1, 1, 0 cubes. This matches **viewing from corner D**, because: - From D, you see the rows as columns. - The first column (closest to you) is the leftmost row from the coded plan (which is 1, 2, 3 from bottom to top). **So, the left isometric is from corner D.** ### **Right Isometric Sketch** - Here, you see the highest stack (3 cubes) at the back corner. - The arrangement forms a "pyramid" or "staircase" with the tallest stack at the far corner. This matches **viewing from corner A**, because: - From A, you see the grid from the top left, and the numbers decrease as you move to the right and down. **So, the right isometric is from corner A.** --- ## **Final Answers** | Isometric Sketch | View Corner | |------------------|-------------| | Left | D | | Right | A | --- **Fill in the blanks:** **View corner:** D **View corner:** A --- ### **Summary Table** | Sketch (Left) | Sketch (Right) | |---------------|----------------| | D | A | --- Let me know if you want an explanation for how to visualize each view!