Liquid Volume Examples in Math

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Liquid Volume.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Math.

Concept Recap

Liquid volume is the amount of space a liquid occupies, measured in standard units such as liters and milliliters.

Think of filling a water bottle โ€” liquid volume tells you how much water fits inside.

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How to Use These Examples

  • Read the first worked example with the solution open so the structure is clear.
  • Try the practice problems before revealing each solution.
  • Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: Liquid volume is the capacity a container holds, measured in liters and milliliters.

Common stuck point: The procedure for liquid volume is the easy part; the trap is mixing up liters and milliliters when converting. Asking "Am I measuring how much pourable space something holds, not how heavy it is or how long it is?" first is what keeps a correct-looking calculation from being attached to the wrong concept.

Sense of Study hint: Ask: Am I measuring how much pourable space something holds, not how heavy it is or how long it is?

Worked Examples

Example 1

medium
A pitcher has 2.42.4 L. You pour out 850850 mL. How many mL remain?

Answer

1550ย mL1550\text{ mL}

First step

1
Convert pitcher to mL: 2.42.4 L =2400= 2400 mL.

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Example 2

medium
A recipe makes 1.21.2 L of soup for 44 people. How many mL per person?

Example 3

medium
A factory makes 360360 L of paint per hour. How many mL per second?

Example 4

hard
Mix 400400 mL of 20%20\% juice with 600600 mL of 30%30\% juice. What percent juice is the mixture?

Example 5

hard
A 33 L bottle is half full. You pour 400400 mL out and add 600600 mL. How many mL are in the bottle now?

Example 6

hard
A hospital uses 2.42.4 L of saline per patient per day. With 2525 patients, how many L are needed for a 77-day week?

Example 7

challenge
A rectangular tank is 5050 cm ร—40\times 40 cm at the base. Water fills it to a depth of 2525 cm. You drop a solid object that displaces water and the level rises to 3030 cm. What is the object's volume in mL?

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

easy
Which is larger: 1.21.2 L or 15001500 mL?

Example 2

easy
A medicine dropper holds about 11 mL. Is mL a sensible unit for it?

Example 3

easy
A water bottle has 500500 mL. You drink half. How many mL are left?

Example 4

easy
Pour 750750 mL juice and 250250 mL water together. How many L total?

Example 5

easy
Which holds more: a soup spoon (about 1515 mL) or a juice carton (about 11 L)?

Example 6

medium
Five 300300 mL glasses are filled. What is the total in liters?

Example 7

medium
A water cooler holds 2020 L. Each cup is 200200 mL. How many cups can it serve?

Example 8

medium
A swimming pool loses 250250 mL per hour to evaporation. How many L does it lose in 4848 hours?

Example 9

medium
A box-shaped tank is 2020 cm ร—15\times 15 cm ร—10\times 10 cm. What is its capacity in L? (11 cm3=1^3 = 1 mL)

Example 10

medium
A bottle has 22 L. After pouring four 150150 mL servings, how many mL remain?

Example 11

medium
A fish tank holds 4040 L. It is 34\tfrac{3}{4} full. How many L of water is in it?

Example 12

medium
A juice carton has 1.51.5 L. A glass holds 250250 mL. How many full glasses can you pour?

Example 13

hard
A cylindrical can has radius 44 cm and height 1010 cm. How many mL does it hold? (Use ฯ€โ‰ˆ3.14\pi \approx 3.14.)

Example 14

hard
A tank holding 100100 L is filled by two pipes. Pipe A: 55 L/min, Pipe B: 7.57.5 L/min. How many minutes to fill together?

Example 15

hard
A rectangular pool is 55 m ร—3\times 3 m ร—1.2\times 1.2 m deep. How many L of water does it hold? (11 m3=1000^3 = 1000 L)

Example 16

hard
A water tank loses 18\tfrac{1}{8} of its 4040 L each day. How many L remain after 22 days (assuming the same fraction is lost each day from the new total)?

Example 17

hard
A 55 L tank fills at 5050 mL/s. How many seconds to fill? Give answer in min and s.

Example 18

hard
A water bill charges $0.003 per liter. Your home used 25,00025{,}000 L. What is the bill?
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Background Knowledge

These ideas may be useful before you work through the harder examples.

length measurementmultiplication