Subjects geometry

3D Cube Views

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3D Cube Views


1. **Problem statement:** We have a 3D figure made of five cubes in an L-shape, with one cube stacked above the leftmost cube in the vertical part. 2. **Front view:** The front view is looking directly at the face where the vertical stack is visible. - The bottom layer includes four cubes in a row horizontally. - Above the leftmost cube in that row, there is one cube stacked vertically. So, the front view appears as: - A vertical column of 2 cubes on the left, - Then 3 cubes horizontally to the right at the bottom level. 3. **Side view:** The side view is looking at the figure from the side, perpendicular to the front view. - From the side, the depth of the cubes matters. - The L-shape's vertical column is one cube deep, - The horizontal row is 4 cubes long but only one cube deep, - The stacked cube on top is visible as well. The side view appears as: - 2 cubes high at the left (stacked cube), - Followed by 1 cube depth across the horizontal row. 4. **Top view:** The top view looks down vertically from above. - The horizontal row of 4 cubes is visible, - One cube stacked on top of the leftmost cube also shows, - So from above, 4 cubes in a row plus the stacked cube on top of the leftmost one looks like an L shape with a small square on the corner. **Final answer:** - Front view: Vertical stack of 2 cubes on the left and 3 cubes horizontal at bottom. - Side view: 2 cubes high at left, 1 cube depth horizontal row. - Top view: 4 cubes in a row plus one stacked cube forming an L shape.