Convert each of the following measurements to the unit shown in brackets: $$ 1.1 \quad 45 \mathrm{~cm}^{3}(\mathrm{ml}) $$ $$ 1.23050 \mathrm{~cm}^{3}(\ell) $$ $$ 1.3 \quad 45 \mathrm{~m}^{3}(\ell) $$ $$ 1.4375 \mathrm{~m}^{3}(\mathrm{kl}) $$ 1.5 $$ 350 \mathrm{ml}\left(\mathrm{mm}^{3}\right) $$ $$ 1.6 \quad 20500 \mathrm{ml}\left(\mathrm{cm}^{3}\right) $$ $$ 1.720750 \ell\left(\mathrm{~m}^{3}\right) $$ $$ 1.8 \quad 30 \mathrm{kl}\left(\mathrm{m}^{3}\right) $$ The geyser shown in the picture above has a volume of $$ 150 \ell $$. 2.1 Express this value in $$ \mathrm{cm}^{3} $$. 2.2 Express this value in $$ \mathrm{m}^{3} $$. A swimming pool has a volume of $$ 32 \mathrm{~m}^{3} $$. 3.1 Express this value in litres. 3.2 Express this value in kilolitres. (Remember: $$ 1 \mathrm{kl}=1000 \ell $$ )

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UpStudy AI · Accepted Answer

Certainly! Let's go through each of the conversions step by step.

---

### **1. Conversions**

#### **1.1 Convert $$ 45 \, \mathrm{cm}^{3} $$ to milliliters (ml)**
Since $$1 \, \mathrm{cm}^{3} = 1 \, \mathrm{ml}$$:
$$
45 \, \mathrm{cm}^{3} = 45 \, \mathrm{ml}
$$

#### **1.2 Convert $$ 1.23050 \, \mathrm{cm}^{3} $$ to liters (ℓ)**
$$
1 \, \mathrm{cm}^{3} = 0.001 \, \mathrm{ℓ}
$$
$$
1.23050 \, \mathrm{cm}^{3} = 1.23050 \times 0.001 \, \mathrm{ℓ} = 0.00123050 \, \mathrm{ℓ}
$$

#### **1.3 Convert $$ 45 \, \mathrm{m}^{3} $$ to liters (ℓ)**
$$
1 \, \mathrm{m}^{3} = 1000 \, \mathrm{ℓ}
$$
$$
45 \, \mathrm{m}^{3} = 45 \times 1000 \, \mathrm{ℓ} = 45{,}000 \, \mathrm{ℓ}
$$

#### **1.4 Convert $$ 1.4375 \, \mathrm{m}^{3} $$ to kiloliters (kl)**
$$
1 \, \mathrm{m}^{3} = 1 \, \mathrm{kl}
$$
$$
1.4375 \, \mathrm{m}^{3} = 1.4375 \, \mathrm{kl}
$$

#### **1.5 Convert $$ 350 \, \mathrm{ml} $$ to cubic millimeters ($$\mathrm{mm}^{3}$$)**
$$
1 \, \mathrm{ml} = 1 \, \mathrm{cm}^{3} = 1000 \, \mathrm{mm}^{3}
$$
$$
350 \, \mathrm{ml} = 350 \times 1000 \, \mathrm{mm}^{3} = 350{,}000 \, \mathrm{mm}^{3}
$$

#### **1.6 Convert $$ 20{,}500 \, \mathrm{ml} $$ to cubic centimeters ($$\mathrm{cm}^{3}$$)**
$$
1 \, \mathrm{ml} = 1 \, \mathrm{cm}^{3}
$$
$$
20{,}500 \, \mathrm{ml} = 20{,}500 \, \mathrm{cm}^{3}
$$

#### **1.7 Convert $$ 1{,}720{,}750 \, \mathrm{ℓ} $$ to cubic meters ($$\mathrm{m}^{3}$$)**
$$
1 \, \mathrm{ℓ} = 0.001 \, \mathrm{m}^{3}
$$
$$
1{,}720{,}750 \, \mathrm{ℓ} = 1{,}720{,}750 \times 0.001 \, \mathrm{m}^{3} = 1{,}720.750 \, \mathrm{m}^{3}
$$

#### **1.8 Convert $$ 30 \, \mathrm{kl} $$ to cubic meters ($$\mathrm{m}^{3}$$)**
$$
1 \, \mathrm{kl} = 1 \, \mathrm{m}^{3}
$$
$$
30 \, \mathrm{kl} = 30 \, \mathrm{m}^{3}
$$

---

### **2. Geyser Volume Conversions**

The geyser has a volume of $$150 \, \mathrm{ℓ}$$.

#### **2.1 Express $$150 \, \mathrm{ℓ}$$ in cubic centimeters ($$\mathrm{cm}^{3}$$)**
$$
1 \, \mathrm{ℓ} = 1000 \, \mathrm{cm}^{3}
$$
$$
150 \, \mathrm{ℓ} = 150 \times 1000 \, \mathrm{cm}^{3} = 150{,}000 \, \mathrm{cm}^{3}
$$

#### **2.2 Express $$150 \, \mathrm{ℓ}$$ in cubic meters ($$\mathrm{m}^{3}$$)**
$$
1 \, \mathrm{ℓ} = 0.001 \, \mathrm{m}^{3}
$$
$$
150 \, \mathrm{ℓ} = 150 \times 0.001 \, \mathrm{m}^{3} = 0.150 \, \mathrm{m}^{3}
$$

---

### **3. Swimming Pool Volume Conversions**

The swimming pool has a volume of $$32 \, \mathrm{m}^{3}$$.

#### **3.1 Express $$32 \, \mathrm{m}^{3}$$ in liters (ℓ)**
$$
1 \, \mathrm{m}^{3} = 1000 \, \mathrm{ℓ}
$$
$$
32 \, \mathrm{m}^{3} = 32 \times 1000 \, \mathrm{ℓ} = 32{,}000 \, \mathrm{ℓ}
$$

#### **3.2 Express $$32 \, \mathrm{m}^{3}$$ in kiloliters (kl)**
$$
1 \, \mathrm{m}^{3} = 1 \, \mathrm{kl}
$$
$$
32 \, \mathrm{m}^{3} = 32 \, \mathrm{kl}
$$

---

### **Summary of Conversions**

1. **1.1** $$45 \, \mathrm{cm}^{3} = 45 \, \mathrm{ml}$$

2. **1.2** $$1.23050 \, \mathrm{cm}^{3} = 0.00123050 \, \mathrm{ℓ}$$

3. **1.3** $$45 \, \mathrm{m}^{3} = 45{,}000 \, \mathrm{ℓ}$$

4. **1.4** $$1.4375 \, \mathrm{m}^{3} = 1.4375 \, \mathrm{kl}$$

5. **1.5** $$350 \, \mathrm{ml} = 350{,}000 \, \mathrm{mm}^{3}$$

6. **1.6** $$20{,}500 \, \mathrm{ml} = 20{,}500 \, \mathrm{cm}^{3}$$

7. **1.7** $$1{,}720{,}750 \, \mathrm{ℓ} = 1{,}720.750 \, \mathrm{m}^{3}$$

8. **1.8** $$30 \, \mathrm{kl} = 30 \, \mathrm{m}^{3}$$

9. **2.1** $$150 \, \mathrm{ℓ} = 150{,}000 \, \mathrm{cm}^{3}$$

10. **2.2** $$150 \, \mathrm{ℓ} = 0.150 \, \mathrm{m}^{3}$$

11. **3.1** $$32 \, \mathrm{m}^{3} = 32{,}000 \, \mathrm{ℓ}$$

12. **3.2** $$32 \, \mathrm{m}^{3} = 32 \, \mathrm{kl}$$

---

If you have any further questions or need additional explanations, feel free to ask!
Here are the conversions: 1. **1.1** $$45 \, \mathrm{cm}^{3} = 45 \, \mathrm{ml}$$ 2. **1.2** $$1.23050 \, \mathrm{cm}^{3} = 0.00123050 \, \mathrm{ℓ}$$ 3. **1.3** $$45 \, \mathrm{m}^{3} = 45{,}000 \, \mathrm{ℓ}$$ 4. **1.4** $$1.4375 \, \mathrm{m}^{3} = 1.4375 \, \mathrm{kl}$$ 5. **1.5** $$350 \, \mathrm{ml} = 350{,}000 \, \mathrm{mm}^{3}$$ 6. **1.6** $$20{,}500 \, \mathrm{ml} = 20{,}500 \, \mathrm{cm}^{3}$$ 7. **1.7** $$1{,}720{,}750 \, \mathrm{ℓ} = 1{,}720.750 \, \mathrm{m}^{3}$$ 8. **1.8** $$30 \, \mathrm{kl} = 30 \, \mathrm{m}^{3}$$ 9. **2.1** $$150 \, \mathrm{ℓ} = 150{,}000 \, \mathrm{cm}^{3}$$ 10. **2.2** $$150 \, \mathrm{ℓ} = 0.150 \, \mathrm{m}^{3}$$ 11. **3.1** $$32 \, \mathrm{m}^{3} = 32{,}000 \, \mathrm{ℓ}$$ 12. **3.2** $$32 \, \mathrm{m}^{3} = 32 \, \mathrm{kl}$$

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