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Comparison of 3D rectangular prism dimensions across three columns.

Three columns showing labeled diagrams of 3D rectangular prisms with dimensions, labeled Column A, Column B, and Final Answer, each with numbered figures.

Three columns showing labeled diagrams of 3D rectangular prisms with dimensions, labeled Column A, Column B, and Final Answer, each with numbered figures.

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Show Answer Key & Explanations Step-by-step solution for: Volume of Composite Shapes Partner Worksheet 5.MD.5c by Mrs E ...
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.
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