Problem Analysis:
The worksheet asks for the cube of various numbers. The cube of a number \( x \) is calculated as \( x^3 \), which means multiplying the number by itself twice: \( x \times x \times x \).
We will solve each question step by step.
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Solution:
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Question 1: The cube of 0 is:
\[ 0^3 = 0 \times 0 \times 0 = 0 \]
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Correct Answer: (A) 0
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Question 2: The cube of 1 is:
\[ 1^3 = 1 \times 1 \times 1 = 1 \]
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Correct Answer: (B) 1
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Question 3: The cube of 2 is:
\[ 2^3 = 2 \times 2 \times 2 = 8 \]
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Correct Answer: (B) 8
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Question 4: The cube of 3 is:
\[ 3^3 = 3 \times 3 \times 3 = 27 \]
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Correct Answer: (C) 27
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Question 5: The cube of 4 is:
\[ 4^3 = 4 \times 4 \times 4 = 64 \]
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Correct Answer: (A) 64
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Question 6: The cube of 5 is:
\[ 5^3 = 5 \times 5 \times 5 = 125 \]
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Correct Answer: (D) 125
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Question 7: The cube of 6 is:
\[ 6^3 = 6 \times 6 \times 6 = 216 \]
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Correct Answer: (A) 216
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Question 8: The cube of 10 is:
\[ 10^3 = 10 \times 10 \times 10 = 1000 \]
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Correct Answer: (C) 1000
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Question 9: The cube of 12 is:
\[ 12^3 = 12 \times 12 \times 12 = 1728 \]
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Correct Answer: (B) 1728
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Question 10: The cube of 15 is:
\[ 15^3 = 15 \times 15 \times 15 = 3375 \]
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Correct Answer: (A) 3375
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Question 11: The cube of 20 is:
\[ 20^3 = 20 \times 20 \times 20 = 8000 \]
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Correct Answer: (A) 8000
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Question 12: The cube of 25 is:
\[ 25^3 = 25 \times 25 \times 25 = 15625 \]
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Correct Answer: (B) 15625
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Final Answers:
1. (A) 0
2. (B) 1
3. (B) 8
4. (C) 27
5. (A) 64
6. (D) 125
7. (A) 216
8. (C) 1000
9. (B) 1728
10. (A) 3375
11. (A) 8000
12. (B) 15625
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Boxed Final Answer:
\[
\boxed{
\begin{aligned}
&1. \text{(A) 0} \\
&2. \text{(B) 1} \\
&3. \text{(B) 8} \\
&4. \text{(C) 27} \\
&5. \text{(A) 64} \\
&6. \text{(D) 125} \\
&7. \text{(A) 216} \\
&8. \text{(C) 1000} \\
&9. \text{(B) 1728} \\
&10. \text{(A) 3375} \\
&11. \text{(A) 8000} \\
&12. \text{(B) 15625}
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of cubes and cube roots worksheet answers.