The document discusses converting between US imperial and metric units of volume. It provides examples of converting liters of gas to gallons, converting square meters of area to yards cubed of topsoil needed, and converting milliliters of ingredients to cups and teaspoons for a baking recipe. The examples show setting up proportions to perform unit conversions between the different systems of measurement.

1. Volume and Imperial Measures
Slide 1
Do you plan on travelling? Have you ever been to the United
States or to another country?
Ever purchase a pop or a carton of milk or gas for your vehicle?
Different countries use different measurement systems.
For example, the United States uses the US Imperial
system – they measure volume in pints, quarts, gallons,
ounces.
This lesson will show you how to convert US imperial to
SI (metric).

2. Slide 2
Example 1:
Frank is travelling from Saskatoon to San Diego, California. His car’s
gas tank holds 55 litres of fuel.
a) How many US gallons will his gas tank hold?
b) If gas in San Diego costs $3.73/gal, how much will it cost Frank to
fill up his gas tank? (assume the tank is empty)

3. a) Convert litres to US gallons
From the Volume handout, we know that 1 US gal = 3.789 L
We want to find  X gal = 55 L
Set up the proportion
Slide 3
Example 1:
Frank is travelling from Saskatoon to San Diego, California. His car’s
gas tank holds 55 litres of fuel.
a) How many US gallons will his gas tank hold?
b) If gas in San Diego costs $3.73/gal, how much will it cost Frank to
fill up his gas tank? (assume the tank is empty)
  
1
55 3.789
1 55
3.789
14.52
gal gal
L L
x gal gal
L L
gal L
x gal
L
x gal gal





4. a) Convert litres to US gallons
From the Volume handout, we know that 1 US gal = 3.789 L
We want to find  X gal = 55 L
Set up the proportion
Slide 4
Example 1:
Frank is travelling from Saskatoon to San Diego, California. His car’s
gas tank holds 55 litres of fuel.
a) How many US gallons will his gas tank hold?
b) If gas in San Diego costs $3.73/gal, how much will it cost Frank to
fill up his gas tank? (assume the tank is empty)
Answer:
Frank’s gas take will hold 14.52 gallons and will
cost $54.16 to fill the tank with gas.
  
1
55 3.789
1 55
3.789
14.52
gal gal
L L
x gal gal
L L
gal L
x gal
L
x gal gal




b) Calculate cost of gas:
= 14.52 gal x $3.73/gal
= $54.16

5. Slide 5
Example 2:
Paulino runs a landscaping business. He needs to cover an area that is
10.8 m by 9.5 m with 10 cm of topsoil. How much will it cost if the soil
costs $18.75/yd3, and soil is available in multiples of ½ yd3?

6. Plan:
• a sketch will be useful here
• convert from metric to imperial (m to yd)
• calculate amount of topsoil needed (in yd3)
• calculate amount of soil to be purchased (in multiples of 12 yd3)
• calculate cost
Slide 6
Example 2:
Paulino runs a landscaping business. He needs to cover an area that is
10.8 m by 9.5 m with 10 cm of topsoil. How much will it cost if the soil
costs $18.75/yd3, and soil is available in multiples of ½ yd3?

7. Plan:
• a sketch will be useful here
• convert from metric to imperial (m to yd)
• calculate amount of topsoil needed (in yd3)
• calculate amount of soil to be purchased (in multiples of 12 yd3)
• calculate cost
Slide 7
Example 2:
Paulino runs a landscaping business. He needs to cover an area that is
10.8 m by 9.5 m with 10 cm of topsoil. How much will it cost if the soil
costs $18.75/yd3, and soil is available in multiples of ½ yd3?
First need to convert from metric to imperial
9.5 m x 1.0936 yd/m = 10.39 yd
10.8 m x 1.0936 yd/m = 11.81 yd
10cm = 0.1 m
0.1m x 1.0936 yd/m = 0.11 yd

8. Plan:
• a sketch will be useful here
• convert from metric to imperial (m to yd)
• calculate amount of topsoil needed (in yd3)
• calculate amount of soil to be purchased (in multiples of 12 yd3)
• calculate cost
Slide 8
Example 2:
Paulino runs a landscaping business. He needs to cover an area that is
10.8 m by 9.5 m with 10 cm of topsoil. How much will it cost if the soil
costs $18.75/yd3, and soil is available in multiples of ½ yd3?
Answer:
The topsoil will cost $253.13 for 13.5 yd3
First need to convert from metric to imperial
9.5 m x 1.0936 yd/m = 10.39 yd
10.8 m x 1.0936 yd/m = 11.81 yd
10cm = 0.1 m
0.1m x 1.0936 yd/m = 0.11 yd
Calculate volume
Volume = l x w x h
= 11.81 yd x 10.39 yd x 0.11 yd
= 13.5 yd3
Calculate cost
Cost = 13.5 yd3 x $18.75/yd3
= $253.13

9. Slide 9
Example 3:
Paula is opening a French bakery and wants to make authentic
French recipes. All the recipes are given in metric units, but she has
imperial measuring devices. The crème brulée recipe requires 500
mL of cream and 3.75 mL of vanilla.
a) How much cream will she need, in cups? In fluid ounces?
b) How much vanilla will she need, in teaspoons?

10. Slide 10
Example 3:
Paula is opening a French bakery and wants to make authentic
French recipes. All the recipes are given in metric units, but she has
imperial measuring devices. The crème brulée recipe requires 500
mL of cream and 3.75 mL of vanilla.
a) How much cream will she need, in cups? In fluid ounces?
b) How much vanilla will she need, in teaspoons?
Paula needs 500 mL of cream
1 cup = 250 mL
2 cups = 500 mL
1 fl oz = 29.565 mL
set up the proportion:
1
29.565 500
500
29.565
16.91
fl oz x fl oz
mL mL
x
fl oz x




11. Slide 11
Example 3:
Paula is opening a French bakery and wants to make authentic
French recipes. All the recipes are given in metric units, but she has
imperial measuring devices. The crème brulée recipe requires 500
mL of cream and 3.75 mL of vanilla.
a) How much cream will she need, in cups? In fluid ounces?
b) How much vanilla will she need, in teaspoons?
Paula needs 500 mL of cream
1 cup = 250 mL
2 cups = 500 mL
Answer:
Paula needs 2 cups or
16.91 fl oz of cream and
¾ tsp vanilla.
Paula needs 3.75 mL of vanilla
1 tsp = 5 mL
set up the proportion:
1 fl oz = 29.565 mL
set up the proportion:
1
29.565 500
500
29.565
16.91
fl oz x fl oz
mL mL
x
fl oz x



  
1
5 3.75
1 3.75
5
0.75
3
4
tsp x tsp
mL mL
tsp mL
x
mL
tsp x
tsp x



