Converting Metric Volume Units

Show your work for each problem.

1.
How many centiliters are in $1$ liter?
1. a)10
2. b)10000
3. c)100
4. d)1000
Answer: 100
L to cL is $2$ steps, so the factor is $10 \times 10 = 100$ : $1$ L $= 100$ cL.
2.
Which amount is equal to $1$ mL?
1. a)10 cm³
2. b)1 cm³
3. c)1 m³
4. d)1 dm³
Answer: 1 cm³
A cube with $1$ cm edges holds exactly $1$ mL, so $1$ mL $= 1$ cm³. A dm³ is a whole liter, and a m³ is $1000$ L.
3.
Which amount is the largest?
1. a)65 cL
2. b)0.7 L
3. c)690 mL
4. d)6.8 dL
Answer: 0.7 L
In mL: $65$ cL $= 650$ , $0.7$ L $= 700$ , $6.8$ dL $= 680$ and $690$ mL. The largest is $0.7$ L.
4.
How many liters are in $1$ m³?
1. a)10 L
2. b)1000000 L
3. c)100 L
4. d)1000 L
Answer: 1000 L
A cube with $1$ m edges is $10$ dm on each side, so it holds $10 \times 10 \times 10 = 1000$ dm³, which is $1000$ L.
5.
Which conversion is correct?
1. a)45 cL = 0.45 L
2. b)1.2 m³ = 120 L
3. c)7 dL = 0.07 L
4. d)0.08 L = 8 mL
Answer: 45 cL = 0.45 L
$45 \div 100 = 0.45$ , so $45$ cL $= 0.45$ L is correct. The others should be: $0.08$ L $= 80$ mL, $1.2$ m³ $= 1200$ L and $7$ dL $= 0.7$ L.
6.
Convert $4$ L to deciliters. How many dL is that?
Answer: 40
$1$ L $= 10$ dL, so $4 \times 10 = 40$ dL.
7.
Convert $350$ cL to liters. How many L is that?
Answer: 3.5
$100$ cL $= 1$ L, so $350 \div 100 = 3.5$ L.
8.
A bottle holds $2.4$ L. How many cubic centimeters (cm³) is that?
Answer: 2400
$2.4 \times 1000 = 2400$ mL, and $1$ mL $= 1$ cm³, so the bottle holds $2400$ cm³.
9.
Convert $65$ mL to liters. Write the answer as a decimal.
Answer: 0.065
$65 \div 1000 = 0.065$ , so $65$ mL $= 0.065$ L (not $0.65$ L).
10.
A barrel holds $3$ hL of apple juice. How many $50$ cL bottles can be filled from it?
Answer: 600
$3$ hL $= 300$ L and $50$ cL $= 0.5$ L. $300 \div 0.5 = 600$ bottles.
11.
Convert $3.2$ dL to milliliters.
Answer: 320
1. How many mL are in $1$ dL? 100
2. What is $3.2 \times 100$ ? 320
12.
Convert $900$ mL to deciliters.
Answer: 9
1. How many mL make $1$ dL? 100
2. What is $900 \div 100$ ? 9
13.
A jug contains $1.5$ L of water. You add $35$ cL of juice and $400$ mL of milk. How many mL are in the jug now?
Answer: 2250
1. How many mL is $1.5$ L? 1500
2. How many mL is $35$ cL? 350
3. Add $1500 + 350 + 400$ . How many mL in total? 2250
14.
A fish tank is $40$ cm long, $25$ cm wide and $30$ cm high. How many liters of water does it hold when full?
Answer: 30
1. What is the volume in cm³? 30000
2. How many liters is that? 30
15.
Which is more, $0.45$ L or $4.2$ dL? Convert both to mL and find how many mL more the larger amount is.
Answer: 30
1. How many mL is $0.45$ L? 450
2. How many mL is $4.2$ dL? 420
3. How many mL more is the larger amount? 30
16.
A farm's water tank holds $4.5$ hL. Each cow drinks $75$ L of water a day. How many cows can drink from one full tank for one day?
Answer: 6
1. How many liters is $4.5$ hL? 450
2. How many cows can drink for one day? 6
17.
For a party you need $60$ glasses of lemonade, each $25$ cL. Lemonade is sold in $1.5$ L bottles. How many bottles do you need?
Answer: 10
1. How many cL of lemonade do you need in total? 1500
2. How many liters is that? 15
3. How many $1.5$ L bottles do you need? 10
18.
A swimming pool holds $60$ m³ of water. A water truck brings $12$ kL per trip. How many trips are needed to fill the empty pool?
Answer: 5
1. How many liters is $60$ m³? 60000
2. How many liters is $12$ kL? 12000
3. How many trips are needed? 5