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: \( 1 \mathrm{kl}=1000 \ell \) )

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!