Problem Description:
The task involves identifying the correct
top-down 2D view of each given 3D shape. The top-down view is what you would see if you looked directly down at the 3D shape from above.
Solution Approach:
1.
Understand the 3D Shape: Analyze the arrangement of cubes in the 3D shape.
2.
Visualize the Top-Down View: Imagine looking directly down at the shape and identifying which cubes are visible from this perspective.
3.
Match with Options: Compare your visualization with the provided 2D options to find the correct match.
Step-by-Step Analysis:
####
Row 1:
-
3D Shape: The shape consists of a central cube with four cubes extending outward (one in each cardinal direction).
-
Top-Down View: From above, you will see a cross-shaped pattern with one cube in the center and four cubes extending outward.
-
Correct Answer: Option
a.
####
Row 2:
-
3D Shape: The shape has a row of three cubes on the left and two cubes extending to the right from the middle cube.
-
Top-Down View: From above, you will see a horizontal line of three cubes with an additional cube extending to the right from the middle cube.
-
Correct Answer: Option
b.
####
Row 3:
-
3D Shape: The shape is a simple row of five cubes aligned horizontally.
-
Top-Down View: From above, you will see a horizontal line of five cubes.
-
Correct Answer: Option
b.
####
Row 4:
-
3D Shape: The shape has a central cube with four cubes extending outward (two in the front and back, and one on each side).
-
Top-Down View: From above, you will see a cross-shaped pattern with one cube in the center and four cubes extending outward.
-
Correct Answer: Option
c.
####
Row 5:
-
3D Shape: The shape has a vertical stack of three cubes on the left and a single cube extending to the right from the topmost cube.
-
Top-Down View: From above, you will see a vertical line of three cubes with an additional cube extending to the right from the top cube.
-
Correct Answer: Option
b.
####
Row 6:
-
3D Shape: The shape has a central cube with four cubes extending outward (one in each cardinal direction), similar to Row 1.
-
Top-Down View: From above, you will see a cross-shaped pattern with one cube in the center and four cubes extending outward.
-
Correct Answer: Option
a.
Final Answers:
1.
Row 1:
a
2.
Row 2:
b
3.
Row 3:
b
4.
Row 4:
c
5.
Row 5:
b
6.
Row 6:
a
Boxed Answer:
\[
\boxed{a, b, b, c, b, a}
\]
Parent Tip: Review the logic above to help your child master the concept of spatial reasoning worksheet.