Let's solve the
volume of cubes problem step by step.
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🔷 Volume of a Cube Formula:
The volume $ V $ of a cube is calculated using the formula:
$$
V = s^3
$$
Where:
- $ s $ = length of one side of the cube
Since all sides of a cube are equal, we just cube the side length.
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Now let’s solve each cube one by one.
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✔ Problem 1:
Side = 5 m
Formula:
$$
V = s^3 = 5^3
$$
$$
= 5 \times 5 \times 5 = 125
$$
✔ Answer: $ 125 \text{ m}^3 $
---
✔ Problem 2:
Side = 11 cm
Formula:
$$
V = s^3 = 11^3
$$
$$
= 11 \times 11 \times 11 = 1331
$$
✔ Answer: $ 1331 \text{ cm}^3 $
---
✔ Problem 3:
Side = 7 cm
Formula:
$$
V = s^3 = 7^3
$$
$$
= 7 \times 7 \times 7 = 343
$$
✔ Answer: $ 343 \text{ cm}^3 $
---
✔ Problem 4:
Side = 15 mm
Formula:
$$
V = s^3 = 15^3
$$
$$
= 15 \times 15 \times 15 = 3375
$$
✔ Answer: $ 3375 \text{ mm}^3 $
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📝 Final Answers:
| Problem | Side | Formula | Volume |
|--------|------|---------|--------|
| 1 | 5 m | $ 5^3 = 125 $ | $ 125 \text{ m}^3 $ |
| 2 | 11 cm | $ 11^3 = 1331 $ | $ 1331 \text{ cm}^3 $ |
| 3 | 7 cm | $ 7^3 = 343 $ | $ 343 \text{ cm}^3 $ |
| 4 | 15 mm | $ 15^3 = 3375 $ | $ 3375 \text{ mm}^3 $ |
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✔ Summary:
To find the volume of a cube:
- Use the formula $ V = s^3 $
- Plug in the side length
- Multiply it three times (or use exponentiation)
All calculations are correct and complete. Let me know if you'd like this formatted for printing or as a worksheet!
Parent Tip: Review the logic above to help your child master the concept of volume of a cube worksheet.
