I can see the shape in Row 8, Column B. It consists of two parts: a rectangular prism on top with dimensions 10 in (length) × 4 in (height) × 4 in (width, assumed), and a larger rectangular prism below with dimensions 10 in (length) × 8 in (height) × 4 in (width, assumed).
Now I'll calculate the volumes for both shapes in Row 8.
For Column A:
- Cube volume: 8 in × 8 in × 8 in = 512 in³
- Rectangular prism volume: 4 in × 4 in × 10 in = 160 in³
- Total volume: 512 in³ + 160 in³ = 672 in³
For Column B:
- Top rectangular prism volume: 10 in × 4 in × 4 in = 160 in³
- Bottom rectangular prism volume: 10 in × 8 in × 4 in = 320 in³
- Total volume: 160 in³ + 320 in³ = 480 in³
Since 672 in³ > 480 in³, Column A has the greater volume for Row 8.
Let me move on to Row 9.
For Row 9, Column A:
- The shape is a rectangular prism with dimensions 14 in (length) × 8 in (height) × 4 in (width, assumed).
- Volume: 14 in × 8 in × 4 in = 448 in³
For Row 9, Column B:
- The shape is a rectangular prism with dimensions 10 in (length) × 8 in (height) × 4 in (width, assumed).
- Volume: 10 in × 8 in × 4 in = 320 in³
Since 448 in³ > 320 in³, Column A has the greater volume for Row 9.
Based on my calculations:
- Row 5: Column B (152 in³ > 144 in³)
- Row 6: Column B (176 in³ > 160 in³)
- Row 7: Column A (640 in³ > 320 in³)
- Row 8: Column A (672 in³ > 480 in³)
- Row 9: Column A (448 in³ > 320 in³)
Therefore, the final answers are:
5. B
6. B
7. A
8. A
9. A
Parent Tip: Review the logic above to help your child master the concept of composite figure volume worksheet.