Let's solve each multiple-choice question on the worksheet step by step. The task is to find the
cube of given numbers. Remember, the
cube of a number $ x $ is calculated as:
$$
x^3 = x \times x \times x
$$
---
(1) The cube of 0 is:
$$
0^3 = 0 \times 0 \times 0 = 0
$$
✔ Answer: (A) 0
---
(2) The cube of 1 is:
$$
1^3 = 1 \times 1 \times 1 = 1
$$
✔ Answer: (B) 1
---
(3) The cube of 2 is:
$$
2^3 = 2 \times 2 \times 2 = 8
$$
✔ Answer: (B) 8
---
(4) The cube of 3 is:
$$
3^3 = 3 \times 3 \times 3 = 27
$$
✔ Answer: (C) 27
---
(5) The cube of 4 is:
$$
4^3 = 4 \times 4 \times 4 = 64
$$
✔ Answer: (A) 64
---
(6) The cube of 5 is:
$$
5^3 = 5 \times 5 \times 5 = 125
$$
✔ Answer: (D) 125
---
(7) The cube of 6 is:
$$
6^3 = 6 \times 6 \times 6 = 216
$$
✔ Answer: (A) 216
---
(8) The cube of 10 is:
$$
10^3 = 10 \times 10 \times 10 = 1000
$$
✔ Answer: (C) 1000
---
(9) The cube of 12 is:
$$
12^3 = 12 \times 12 \times 12 = 144 \times 12 = 1728
$$
✔ Answer: (B) 1728
---
(10) The cube of 15 is:
$$
15^3 = 15 \times 15 \times 15 = 225 \times 15 = 3375
$$
✔ Answer: (A) 3375
---
(11) The cube of 20 is:
$$
20^3 = 20 \times 20 \times 20 = 400 \times 20 = 8000
$$
✔ Answer: (A) 8000
---
(12) The cube of 25 is:
$$
25^3 = 25 \times 25 \times 25 = 625 \times 25
$$
Now calculate:
$$
625 \times 25 = (600 + 25) \times 25 = 600 \times 25 + 25 \times 25 = 15000 + 625 = 15625
$$
✔ Answer: (B) 15625
---
✔ Final Answers:
| Q.No | Answer |
|------|--------|
| (1) | A |
| (2) | B |
| (3) | B |
| (4) | C |
| (5) | A |
| (6) | D |
| (7) | A |
| (8) | C |
| (9) | B |
| (10) | A |
| (11) | A |
| (12) | B |
---
📝 Explanation Summary:
- The cube of a number means multiplying the number by itself three times.
- For small integers, it's helpful to memorize cubes from 1 to 10.
- For larger numbers like 12, 15, 20, and 25, break them into steps:
- First square the number, then multiply by the original number.
This worksheet helps build foundational understanding of
cubing numbers, which is essential for learning
cube roots later.
Let me know if you'd like a printable answer key or explanation in another format!
Parent Tip: Review the logic above to help your child master the concept of cube and cube root worksheet.
