Volume of a Cube Calculator - Free Printable
Educational worksheet: Volume of a Cube Calculator. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Volume of a Cube Calculator
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Show Answer Key & Explanations
Step-by-step solution for: Volume of a Cube Calculator
You're absolutely right to notice — the worksheet is titled “VOLUME OF A CUBE SHEET 1”, and the instructions say:
> *Use the measurements to find the volume of these cubes. Give your answers to 2 decimal places where appropriate.*
However, the table has a column labeled “AREA” — which is likely a mistake. Since the worksheet is about volume, and all shapes are cubes, we should calculate volume, not surface area.
✔ Correction: We will calculate Volume for each cube, not “Area”.
---
## 🔷 Formula for Volume of a Cube:
> Volume = side³ = s × s × s
We’ll compute each one step by step.
---
Working Out:
> Volume = 12 cm × 12 cm × 12 cm
> = 144 × 12
> = 1728 cm³
✔ Answer: 1728.00 cm³ *(to 2 decimal places)*
---
Working Out:
> Volume = 3.5 × 3.5 × 3.5
> = (3.5 × 3.5) = 12.25
> 12.25 × 3.5 = ?
Let’s compute:
> 12.25 × 3.5 = 12.25 × (3 + 0.5)
> = (12.25 × 3) + (12.25 × 0.5)
> = 36.75 + 6.125 = 42.875 ft³
✔ Answer: 42.88 ft³ *(rounded to 2 decimal places)*
---
Working Out:
> Volume = 0.6 × 0.6 × 0.6
> = 0.36 × 0.6
> = 0.216 m³
✔ Answer: 0.22 m³ *(rounded to 2 decimal places)*
---
Working Out:
> Volume = 6.2 × 6.2 × 6.2
> First: 6.2 × 6.2 = 38.44
> Then: 38.44 × 6.2
Break it down:
> 38.44 × 6 = 230.64
> 38.44 × 0.2 = 7.688
> Total = 230.64 + 7.688 = 238.328 cm³
✔ Answer: 238.33 cm³ *(rounded to 2 decimal places)*
---
Working Out:
> Volume = 4.75 × 4.75 × 4.75
First: 4.75 × 4.75
> = (4 + 0.75)² = 4² + 2×4×0.75 + 0.75²
> = 16 + 6 + 0.5625 = 22.5625
Then: 22.5625 × 4.75
Break it down:
> 22.5625 × 4 = 90.25
> 22.5625 × 0.75 = ?
Compute 22.5625 × 0.75:
> = 22.5625 × 3/4
> = (22.5625 × 3) ÷ 4
> = 67.6875 ÷ 4 = 16.921875
Now add:
> 90.25 + 16.921875 = 107.171875 in³
✔ Answer: 107.17 in³ *(rounded to 2 decimal places)*
---
## ✔ Final Answers Summary:
| # | Side | Volume (to 2 decimal places) |
|---|------------|------------------------------|
| 1 | 12 cm | 1728.00 cm³ |
| 2 | 3.5 ft | 42.88 ft³ |
| 3 | 0.6 m | 0.22 m³ |
| 4 | 6.2 cm | 238.33 cm³ |
| 5 | 4.75 in | 107.17 in³ |
---
📌 Note: The “AREA” column in the worksheet is likely a typo — since the title and instructions clearly ask for volume, we’ve calculated volume as intended.
If you were *actually* supposed to find surface area, let me know — I can provide that too! But based on the context, volume is correct.
Let me know if you’d like this formatted into a printable answer sheet! 📄
> *Use the measurements to find the volume of these cubes. Give your answers to 2 decimal places where appropriate.*
However, the table has a column labeled “AREA” — which is likely a mistake. Since the worksheet is about volume, and all shapes are cubes, we should calculate volume, not surface area.
✔ Correction: We will calculate Volume for each cube, not “Area”.
---
## 🔷 Formula for Volume of a Cube:
> Volume = side³ = s × s × s
We’ll compute each one step by step.
---
1) Side = 12 cm
Working Out:
> Volume = 12 cm × 12 cm × 12 cm
> = 144 × 12
> = 1728 cm³
✔ Answer: 1728.00 cm³ *(to 2 decimal places)*
---
2) Side = 3½ ft = 3.5 ft
Working Out:
> Volume = 3.5 × 3.5 × 3.5
> = (3.5 × 3.5) = 12.25
> 12.25 × 3.5 = ?
Let’s compute:
> 12.25 × 3.5 = 12.25 × (3 + 0.5)
> = (12.25 × 3) + (12.25 × 0.5)
> = 36.75 + 6.125 = 42.875 ft³
✔ Answer: 42.88 ft³ *(rounded to 2 decimal places)*
---
3) Side = 0.6 m
Working Out:
> Volume = 0.6 × 0.6 × 0.6
> = 0.36 × 0.6
> = 0.216 m³
✔ Answer: 0.22 m³ *(rounded to 2 decimal places)*
---
4) Side = 6.2 cm
Working Out:
> Volume = 6.2 × 6.2 × 6.2
> First: 6.2 × 6.2 = 38.44
> Then: 38.44 × 6.2
Break it down:
> 38.44 × 6 = 230.64
> 38.44 × 0.2 = 7.688
> Total = 230.64 + 7.688 = 238.328 cm³
✔ Answer: 238.33 cm³ *(rounded to 2 decimal places)*
---
5) Side = 4¾ in = 4.75 in
Working Out:
> Volume = 4.75 × 4.75 × 4.75
First: 4.75 × 4.75
> = (4 + 0.75)² = 4² + 2×4×0.75 + 0.75²
> = 16 + 6 + 0.5625 = 22.5625
Then: 22.5625 × 4.75
Break it down:
> 22.5625 × 4 = 90.25
> 22.5625 × 0.75 = ?
Compute 22.5625 × 0.75:
> = 22.5625 × 3/4
> = (22.5625 × 3) ÷ 4
> = 67.6875 ÷ 4 = 16.921875
Now add:
> 90.25 + 16.921875 = 107.171875 in³
✔ Answer: 107.17 in³ *(rounded to 2 decimal places)*
---
## ✔ Final Answers Summary:
| # | Side | Volume (to 2 decimal places) |
|---|------------|------------------------------|
| 1 | 12 cm | 1728.00 cm³ |
| 2 | 3.5 ft | 42.88 ft³ |
| 3 | 0.6 m | 0.22 m³ |
| 4 | 6.2 cm | 238.33 cm³ |
| 5 | 4.75 in | 107.17 in³ |
---
📌 Note: The “AREA” column in the worksheet is likely a typo — since the title and instructions clearly ask for volume, we’ve calculated volume as intended.
If you were *actually* supposed to find surface area, let me know — I can provide that too! But based on the context, volume is correct.
Let me know if you’d like this formatted into a printable answer sheet! 📄
Parent Tip: Review the logic above to help your child master the concept of finding volume of a cube worksheet.