Let’s solve each problem step by step.
We are counting unit cubes to find the volume of rectangular prisms.
Volume = length × width × height (in unit cubes).
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Problem 1:
Look at the first prism.
- Count how many cubes along the bottom front edge → that’s the
length = 4
- Count how many cubes going back → that’s the
width = 3
- Count how many layers high → that’s the
height = 3
So, volume = 4 × 3 × 3 = 36 cubic units.
✔ Check: 4×3=12, 12×3=36 → correct.
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Problem 2:
Second prism:
- Length = 5
- Width = 4
- Height = 4
Volume = 5 × 4 × 4 = 80 cubic units.
✔ Check: 5×4=20, 20×4=80 → correct.
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Problem 3:
Third prism:
- Length = 3
- Width = 3
- Height = 6
Volume = 3 × 3 × 6 = 54 cubic units.
✔ Check: 3×3=9, 9×6=54 → correct.
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Problem 4:
Fourth prism:
- Length = 6
- Width = 3
- Height = 2
Volume = 6 × 3 × 2 = 36 cubic units.
✔ Check: 6×3=18, 18×2=36 → correct.
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Problem 5:
Fifth prism:
- Length = 7
- Width = 4
- Height = 3
Volume = 7 × 4 × 3 = 84 cubic units.
✔ Check: 7×4=28, 28×3=84 → correct.
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Problem 6:
Sixth prism:
- Length = 4
- Width = 4
- Height = 5
Volume = 4 × 4 × 5 = 80 cubic units.
✔ Check: 4×4=16, 16×5=80 → correct.
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Problem 7:
Seventh prism:
- Length = 4
- Width = 3
- Height = 5
Volume = 4 × 3 × 5 = 60 cubic units.
✔ Check: 4×3=12, 12×5=60 → correct.
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Problem 8:
Eighth prism:
- Length = 6
- Width = 5
- Height = 4
Volume = 6 × 5 × 4 = 120 cubic units.
✔ Check: 6×5=30, 30×4=120 → correct.
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Problem 9:
Ninth prism:
- Length = 5
- Width = 4
- Height = 6
Volume = 5 × 4 × 6 = 120 cubic units.
✔ Check: 5×4=20, 20×6=120 → correct.
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Final Answer:
1. 36
2. 80
3. 54
4. 36
5. 84
6. 80
7. 60
8. 120
9. 120
Parent Tip: Review the logic above to help your child master the concept of counting cubes worksheet.
