Look at the table below and memorize the metric conversions of all units used to measure length.
Common Volume Conversion Factors
|
| 1 cubic centimeter = |
1000 cubic millimeter |
| 1 cubic decimeter = |
1000 cubic centimeter |
| 1 cubic meter = |
1000 cubic decimeter |
| 1 liter / litre = |
.001 cubic meter |
| 1 liter / litre = |
10 deciliter |
| 1 deciliter = |
10 centiliter |
| 1 centiliter = |
10 milliliter |
| 1 cubic foot = |
1728 cubic inches |
| 1 cubic yard = |
27 cubic feet |
| 1 fluid minims = |
61.61152 cu mm |
| 1 fluid drams = |
60 minims |
| 1 fluid ounces = |
8 fluid drams |
| 1 pint (pt) = |
16 fluid ounces |
| 1 gills (gi) = |
0.25 pint |
| 1 quart (qt) = |
2 pint |
| 1 gallon (gal) = |
4 quart |
| 1 oil barrel = |
42 gallons |
In order to convert metric units into English units and
other units of measurements, we will use the conversion factors stated
above. Notice that we always use 1 unit of the length to be converted.
Once this is known, the conversion factor, we can then use this to
multiply against a unit we wish to be converted.
REMEMBER
When going from a large unit to a small unit, you multiply.
When going from a small unit to a large unit, you divide.
There is another way of converting units. It is often
called the long way because you need to arrange the values to make a
ratio and proportion equation. For example:
- If 1 gallon = 4 quarts, how many gallons will there be in 20 quarts?
Answer:
(1 gallon / 4 quarts) = (x gallons / 20 quarts)
1 gallon x 20 quarts = 4 quarts
X = 5 quarts
- Today, the price is 3.4 AED/liter. If Jessie filled up
her car with 40 deciliter quarts of gasoline, (a) what is the volume
she purchased in liters? (b) how much did she pay for this?
Answer:
(a) Convert dL to L
(1 L / 10 dL) = (x / 40)
(40 / 10) = 4 L
b) (3.4 AED / L) = (x / 4)
3.4 x 4 = x
13.6 AED = x
- A pint of beer costs $8. Jack and his four friends
bought 3 pints each. (a) How many quarts of beer did they consume in
total? (b) How much did they pay in total?
Answer:
Total pint consumed = 12 pints
a) (1 pint / 2 quarts) = (12 / x)
x = 12 x 2
x = 24 quarts
b) 12 x 8 = $96
Try these questions
- A cough syrup has a dosage of 250 mg/5 mL of the
prescribed antibacterial. The doctor calls for 750mg to be taken twice
daily. What is the total volume to be taken?
Answer: 30 mL
Explanation:
Use ratio and proportion first to find out the volume of one dose:
(250 mg/5 mL) = (750 mg / x mL)
x mL = 15 mL
Twice daily: 15 mL x 2 = 30 mL total volume to be taken
- During renovation, the two painters used up 1/3 of the 10 pint red paint. How many fluid ounces of red paint were used up?
Answer: 53.28 fluid ounce
Explanation:
1/3 x 10 pint = 3.33 pint
Convert pint to fluid ounce
1 pint = 16 fluid ounces
(1 pint / 16 fluid ounces) = (3.33 pint / x)
X= 16 fluid ounces x 3.33 pint
X = 53.28 fluid ounce
- The sum of the lengths of all sides of a cube is 8 cm. What is its volume? (Volume = l x w x h).
Answer: 2 cm
Explanation:
Since a cube has 12 sides, we get:
12e = 8
e = 8/12 or 2/3
Therefore, its volume is: e3
(2/3) x (2/3) x (2/3) =1.99 or 2 cm.
- Jessie diluted 3L of mango puree with 4340 mL of distilled water. What is the resulting volume of the mixture in mL?
Answer: 7340 mL
Explanation:
Convert L to mL
(1 L / 1000 mL) = (3L / x mL)
X = 3000 mL
Add the two volumes:
3000 mL + 4340 mL = 7340 mL
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