Convert the following volumes: 60 ml to US fluid ounces, 4 UK pints to L, and 27 US fluid ounces to L.

Question

ScanSolve AI Tutor · Accepted Answer

Here are the conversions and calculations:

Conversion Factors Used:

$1 \text{ US fluid ounce (fl oz)} = 29.5735 \text{ mL}$
$1 \text{ UK pint} = 0.568261 \text{ L}$
$1 \text{ US quart} = 0.946353 \text{ L}$
$1 \text{ UK gallon} = 4.54609 \text{ L}$
$1 \text{ L} = 1000 \text{ mL}$

1 Convert the following

1.1: 60 ml to US fluid ounces

Use the conversion factor $1 \text{ US fluid ounce} = 29.5735 \text{ mL}$ .
$$ 60 \text{ mL} \times \frac{1 \text{ US fl oz}}{29.5735 \text{ mL}} $$

Calculate the value.

$$
60 \div 29.5735 \approx 2.0288 \text{ US fl oz}
$$
The conversion is: $\boxed{\text{2.0288 US fl oz}}$

1.2: 4 UK pints to L

Use the conversion factor $1 \text{ UK pint} = 0.568261 \text{ L}$ .
$$ 4 \text{ UK pints} \times \frac{0.568261 \text{ L}}{1 \text{ UK pint}} $$

Calculate the value.

$$
4 \times 0.568261 = 2.273044 \text{ L}
$$
The conversion is: $\boxed{\text{2.273044 L}}$

1.3: 27 US fluid ounces to L

Convert US fluid ounces to mL using $1 \text{ US fl oz} = 29.5735 \text{ mL}$ .
$$ 27 \text{ US fl oz} \times \frac{29.5735 \text{ mL}}{1 \text{ US fl oz}} = 798.4845 \text{ mL} $$

Convert mL to L using $1 \text{ L} = 1000 \text{ mL}$ .

$$
798.4845 \text{ mL} \times \frac{1 \text{ L}}{1000 \text{ mL}} = 0.7984845 \text{ L}
$$
The conversion is: $\boxed{\text{0.7984845 L}}$

1.4: 0.8 US quarts to ml

Convert US quarts to L using $1 \text{ US quart} = 0.946353 \text{ L}$ .
$$ 0.8 \text{ US quarts} \times \frac{0.946353 \text{ L}}{1 \text{ US quart}} = 0.7570824 \text{ L} $$

Convert L to mL using $1 \text{ L} = 1000 \text{ mL}$ .

$$
0.7570824 \text{ L} \times \frac{1000 \text{ mL}}{1 \text{ L}} = 757.0824 \text{ mL}
$$
The conversion is: $\boxed{\text{757.0824 mL}}$

1.5: 479 L to UK gallons

Use the conversion factor $1 \text{ UK gallon} = 4.54609 \text{ L}$ .
$$ 479 \text{ L} \times \frac{1 \text{ UK gallon}}{4.54609 \text{ L}} $$

Calculate the value.

$$
479 \div 4.54609 \approx 105.365 \text{ UK gallons}
$$
The conversion is: $\boxed{\text{105.365 UK gallons}}$

1.6: 1011.21 ml to UK pints

Convert mL to L using $1 \text{ L} = 1000 \text{ mL}$ .

$$
1011.21 \text{ mL} \times \frac{1 \text{ L}}{1000 \text{ mL}} = 1.01121 \text{ L}
$$

Convert L to UK pints using $1 \text{ UK pint} = 0.568261 \text{ L}$ .
$$ 1.01121 \text{ L} \times \frac{1 \text{ UK pint}}{0.568261 \text{ L}} $$
Calculate the value.
$$ 1.01121 \div 0.568261 \approx 1.7794 \text{ UK pints} $$ The conversion is: $\boxed{\text{1.7794 UK pints}}$
2 Which water reservoir has the biggest capacity?
- Silver Stream: 2750 UK gallons
Convert UK gallons to Liters using $1 \text{ UK gallon} = 4.54609 \text{ L}$ .
$$ 2750 \text{ UK gallons} \times \frac{4.54609 \text{ L}}{1 \text{ UK gallon}} = 12501.7475 \text{ L} $$ Silver Stream capacity: $12501.7475 \text{ L}$
- Placid Water: 13207.5 US quarts

Convert US quarts to Liters using $1 \text{ US quart} = 0.946353 \text{ L}$ .

$$
13207.5 \text{ US quarts} \times \frac{0.946353 \text{ L}}{1 \text{ US quart}} = 12499.9999775 \text{ L}
$$
Placid Water capacity: $12499.9999775 \text{ L}$

Compare the capacities in Liters.
$12501.7475 \text{ L}$ (Silver Stream) is greater than $12499.9999775 \text{ L}$ (Placid Water).

The reservoir with the biggest capacity is: $\boxed{\text{Silver Stream}}$

3 Mrs Hawthorne needs to buy Italian gelato ice-cream for her dinner party of 8 guests. Would Mrs Hawthorne get more gelato if she bought two 1.5849 US quart tubs of gelato or 8 individual tubs of 0.43995 UK pint each?
- Option 1: Two 1.5849 US quart tubs

Calculate total volume in US quarts.

$$
2 \text{ tubs} \times 1.5849 \text{ US quarts/tub} = 3.1698 \text{ US quarts}
$$

Convert total US quarts to Liters using $1 \text{ US quart} = 0.946353 \text{ L}$ .
$$ 3.1698 \text{ US quarts} \times \frac{0.946353 \text{ L}}{1 \text{ US quart}} = 2.999999994 \text{ L} $$ Total volume for Option 1: $2.999999994 \text{ L}$
- Option 2: Eight 0.43995 UK pint tubs

Calculate total volume in UK pints.

$$
8 \text{ tubs} \times 0.43995 \text{ UK pints/tub} = 3.5196 \text{ UK pints}
$$

Convert total UK pints to Liters using $1 \text{ UK pint} = 0.568261 \text{ L}$ .

$$
3.5196 \text{ UK pints} \times \frac{0.568261 \text{ L}}{1 \text{ UK pint}} = 1.9999999956 \text{ L}
$$
Total volume for Option 2: $1.9999999956 \text{ L}$

Compare the total volumes.
$2.999999994 \text{ L}$ (Option 1) is greater than $1.9999999956 \text{ L}$ (Option 2).

Mrs Hawthorne would get more gelato if she bought: $\boxed{\text{two 1.5849 US quart tubs}}$

Convert the following volumes: 60 ml to US fluid ounces, 4 UK pints to L, and 27 US fluid ounces to L.

Step-by-step solution

Use the conversion factor $1 \text{ US fluid ounce} = 29.5735 \text{ mL}$ .

Calculate the value.

Use the conversion factor $1 \text{ UK pint} = 0.568261 \text{ L}$ .

Calculate the value.

Convert US fluid ounces to mL using $1 \text{ US fl oz} = 29.5735 \text{ mL}$ .

Convert mL to L using $1 \text{ L} = 1000 \text{ mL}$ .

Convert US quarts to L using $1 \text{ US quart} = 0.946353 \text{ L}$ .

Convert L to mL using $1 \text{ L} = 1000 \text{ mL}$ .

Use the conversion factor $1 \text{ UK gallon} = 4.54609 \text{ L}$ .

Calculate the value.

Convert mL to L using $1 \text{ L} = 1000 \text{ mL}$ .

Convert L to UK pints using $1 \text{ UK pint} = 0.568261 \text{ L}$ .

Calculate the value.

Convert UK gallons to Liters using $1 \text{ UK gallon} = 4.54609 \text{ L}$ .

Convert US quarts to Liters using $1 \text{ US quart} = 0.946353 \text{ L}$ .

Compare the capacities in Liters.

Calculate total volume in US quarts.

Convert total US quarts to Liters using $1 \text{ US quart} = 0.946353 \text{ L}$ .

Calculate total volume in UK pints.

Convert total UK pints to Liters using $1 \text{ UK pint} = 0.568261 \text{ L}$ .

Compare the total volumes.

Still stuck on this one?

More Mathematics Questions

Convert the following volumes: 60 ml to US fluid ounces, 4 UK pints to L, and 27 US fluid ounces to L.

Step-by-step solution

Use the conversion factor 1 US fluid ounce=29.5735 mL1 \text{ US fluid ounce} = 29.5735 \text{ mL}1 US fluid ounce=29.5735 mL.

Calculate the value.

Use the conversion factor 1 UK pint=0.568261 L1 \text{ UK pint} = 0.568261 \text{ L}1 UK pint=0.568261 L.

Calculate the value.

Convert US fluid ounces to mL using 1 US fl oz=29.5735 mL1 \text{ US fl oz} = 29.5735 \text{ mL}1 US fl oz=29.5735 mL.

Convert mL to L using 1 L=1000 mL1 \text{ L} = 1000 \text{ mL}1 L=1000 mL.

Convert US quarts to L using 1 US quart=0.946353 L1 \text{ US quart} = 0.946353 \text{ L}1 US quart=0.946353 L.

Convert L to mL using 1 L=1000 mL1 \text{ L} = 1000 \text{ mL}1 L=1000 mL.

Use the conversion factor 1 UK gallon=4.54609 L1 \text{ UK gallon} = 4.54609 \text{ L}1 UK gallon=4.54609 L.

Calculate the value.

Convert mL to L using 1 L=1000 mL1 \text{ L} = 1000 \text{ mL}1 L=1000 mL.

Convert L to UK pints using 1 UK pint=0.568261 L1 \text{ UK pint} = 0.568261 \text{ L}1 UK pint=0.568261 L.

Calculate the value.

Convert UK gallons to Liters using 1 UK gallon=4.54609 L1 \text{ UK gallon} = 4.54609 \text{ L}1 UK gallon=4.54609 L.

Convert US quarts to Liters using 1 US quart=0.946353 L1 \text{ US quart} = 0.946353 \text{ L}1 US quart=0.946353 L.

Compare the capacities in Liters.

Calculate total volume in US quarts.

Convert total US quarts to Liters using 1 US quart=0.946353 L1 \text{ US quart} = 0.946353 \text{ L}1 US quart=0.946353 L.

Calculate total volume in UK pints.

Convert total UK pints to Liters using 1 UK pint=0.568261 L1 \text{ UK pint} = 0.568261 \text{ L}1 UK pint=0.568261 L.

Compare the total volumes.

Still stuck on this one?

More Mathematics Questions

Use the conversion factor $1 \text{ US fluid ounce} = 29.5735 \text{ mL}$ .

Use the conversion factor $1 \text{ UK pint} = 0.568261 \text{ L}$ .

Convert US fluid ounces to mL using $1 \text{ US fl oz} = 29.5735 \text{ mL}$ .

Convert mL to L using $1 \text{ L} = 1000 \text{ mL}$ .

Convert US quarts to L using $1 \text{ US quart} = 0.946353 \text{ L}$ .

Convert L to mL using $1 \text{ L} = 1000 \text{ mL}$ .

Use the conversion factor $1 \text{ UK gallon} = 4.54609 \text{ L}$ .

Convert mL to L using $1 \text{ L} = 1000 \text{ mL}$ .

Convert L to UK pints using $1 \text{ UK pint} = 0.568261 \text{ L}$ .

Convert UK gallons to Liters using $1 \text{ UK gallon} = 4.54609 \text{ L}$ .

Convert US quarts to Liters using $1 \text{ US quart} = 0.946353 \text{ L}$ .

Convert total US quarts to Liters using $1 \text{ US quart} = 0.946353 \text{ L}$ .

Convert total UK pints to Liters using $1 \text{ UK pint} = 0.568261 \text{ L}$ .