Liquid Volume Examples: 25 Problems with Answers

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 — 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 2.4 L. You pour out 850 mL. How many mL remain?

Answer

1550 mL

First step

1
Convert pitcher to mL: 2.4 L =2400 mL.

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Example 2

medium
A recipe makes 1.2 L of soup for 4 people. How many mL per person?

Example 3

medium
A factory makes 360 L of paint per hour. How many mL per second?

Example 4

hard
Mix 400 mL of 20% juice with 600 mL of 30% juice. What percent juice is the mixture?

Example 5

hard
A 3 L bottle is half full. You pour 400 mL out and add 600 mL. How many mL are in the bottle now?

Example 6

hard
A hospital uses 2.4 L of saline per patient per day. With 25 patients, how many L are needed for a 7-day week?

Example 7

challenge
A rectangular tank is 50 cm ×40 cm at the base. Water fills it to a depth of 25 cm. You drop a solid object that displaces water and the level rises to 30 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: 1.2 L or 1500 mL?

Example 2

easy
A medicine dropper holds about 1 mL. Is mL a sensible unit for it?

Example 3

easy
A water bottle has 500 mL. You drink half. How many mL are left?

Example 4

easy
Pour 750 mL juice and 250 mL water together. How many L total?

Example 5

easy
Which holds more: a soup spoon (about 15 mL) or a juice carton (about 1 L)?

Example 6

medium
Five 300 mL glasses are filled. What is the total in liters?

Example 7

medium
A water cooler holds 20 L. Each cup is 200 mL. How many cups can it serve?

Example 8

medium
A swimming pool loses 250 mL per hour to evaporation. How many L does it lose in 48 hours?

Example 9

medium
A box-shaped tank is 20 cm ×15 cm ×10 cm. What is its capacity in L? (1 cm3=1 mL)

Example 10

medium
A bottle has 2 L. After pouring four 150 mL servings, how many mL remain?

Example 11

medium
A fish tank holds 40 L. It is 34 full. How many L of water is in it?

Example 12

medium
A juice carton has 1.5 L. A glass holds 250 mL. How many full glasses can you pour?

Example 13

hard
A cylindrical can has radius 4 cm and height 10 cm. How many mL does it hold? (Use π≈3.14.)

Example 14

hard
A tank holding 100 L is filled by two pipes. Pipe A: 5 L/min, Pipe B: 7.5 L/min. How many minutes to fill together?

Example 15

hard
A rectangular pool is 5 m ×3 m ×1.2 m deep. How many L of water does it hold? (1 m3=1000 L)

Example 16

hard
A water tank loses 18 of its 40 L each day. How many L remain after 2 days (assuming the same fraction is lost each day from the new total)?

Example 17

hard
A 5 L tank fills at 50 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 25,000 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