**A. Find the perfect cubes of the following numbers.** 1. Calculate $10^3=10 \times 10 \times 10=1000$. 2. Calculate $20^3=20 \times 20 \times 20=8000$. 3. Calculate $30^3=30 \times 30 \times 30=27000$. 4. Calculate $40^3=40 \times 40 \times 40=64000$. 7. Calculate $8^3=8 \times 8 \times 8=512$. 8. Calculate $12^3=12 \times 12 \times 12=1728$. 9. Calculate $15^3=15 \times 15 \times 15=3375$. 10. Calculate $18^3=18 \times 18 \times 18=5832$. --- **B. Find the cubes of the following fractions.** 1. Cube of $\frac{1}{2}$: $$\left(\frac{1}{2}\right)^3=\frac{1^3}{2^3}=\frac{1}{8}$$ 2. Cube of $\frac{2}{3}$: $$\left(\frac{2}{3}\right)^3=\frac{2^3}{3^3}=\frac{8}{27}$$ 3. Cube of $\frac{3}{4}$: $$\left(\frac{3}{4}\right)^3=\frac{3^3}{4^3}=\frac{27}{64}$$ 4. Cube of $\frac{4}{5}$: $$\left(\frac{4}{5}\right)^3=\frac{4^3}{5^3}=\frac{64}{125}$$ 7. Cube of $\frac{1}{4}$: $$\left(\frac{1}{4}\right)^3=\frac{1^3}{4^3}=\frac{1}{64}$$ 8. Cube of $\frac{1}{6}$: $$\left(\frac{1}{6}\right)^3=\frac{1^3}{6^3}=\frac{1}{216}$$ 9. Cube of $\frac{1}{10}$: $$\left(\frac{1}{10}\right)^3=\frac{1^3}{10^3}=\frac{1}{1000}$$ 10. Cube of $\frac{2}{3}$ (repeated): $$\left(\frac{2}{3}\right)^3=\frac{8}{27}$$ --- **C. Find the cubes of the decimals.** 1. Cube of $0.4$: $$0.4^3=0.4 \times 0.4 \times 0.4=0.064$$ 2. Cube of $0.9$: $$0.9^3=0.9 \times 0.9 \times 0.9=0.729$$ 3. Cube of $1.2$: $$1.2^3=1.2 \times 1.2 \times 1.2=1.728$$ 4. Cube of $1.6$: $$1.6^3=1.6 \times 1.6 \times 1.6=4.096$$ This completes all calculations for perfect cubes of whole numbers, fractions, and decimals.