Measuring capacity - Orchids The International School
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Measurements

Measuring capacity

Capacity: The capacity is defined as the amount that a container can hold.

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In ancient times, the capacity of a container was measured using other small containers.

Examples:

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3 small glasses of water is required to fill the jug. Therefore, the capacity of the jug is equal to the capacities of 3 small glasses.

Volume: The measurement of capacity is known as volume.

Units of measuring Capacity:

The volume is measured in millilitres and litres.

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Above picture shows that the measuring cup can hold 2000 ml of liquid. Therefore, the capacity of the cup is 2000 mL.

Milliliters: A Milliliter is the unit to measure small amount of liquid. When a container can hold less amount of liquid, then the capacity is measured in Milliliters.

The symbol that represents Millilitres is “ml” or “mL”.

Liters: When a container can hold large amount of liquid, then the capacity is measured in Litres.

The symbol that represents Litres is “L”.

Relation between the units

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Conversion unit of capacity

  • When we convert a smaller unit to a larger unit we divide. To convert mL to L we divide it by 1000.
  • When we convert a larger unit to a smaller unit we multiply. To convert L to mL we multiply it by 1000.
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Examples 1:

Convert 50 L to mL.

Solution:

To convert L to mL we multiply by 1000.

Therefore, multiply 50 by 1000 to convert 50 L to mL.

50 × 1000 = 50,000

Hence, 50 L = 50,000 mL.

Examples 2:

Convert 2000 mL to L.

Solution:

To convert mL to L we divide by 1000.

Therefore, divide 2000 by 1000 to convert 2000 mL to L.

2000 ÷ 1000 = 2

Hence, 2000 mL = 2 L.

Comparing units.

When two or more quantities with are compared then two conditions may arise:

  1. The units are the same
  2. The units are different.

Comparing units. If the units are the same, then the quantity with the greater magnitude is larger.

Examples 1: Fill in the blanks with <,>, =

278 mL _____ 287 mL.

Solution:

Both are in same units. So, we will compare the magnitude.

Now, 287 is greater than 278, 278 < 287.

Therefore, 287 mL is greater than 278 mL.

278 mL < 287 mL.

The units are different: If the units are different then, we first convert them to the same unit and then compare the magnitude.

Example: Fill in the blanks with <,>, =

158 mL _____ 0.6 L.

Solution:

Both are in different units. So, we will first convert it to the same unit.

We know that to convert L to mL we multiply by 1000.

Multiply 0.6 by 1000 to convert 0.6 L to mL.

0.6 × 1000 = 600 mL

Now, we will compare 158 mL and 600 mL.

600 is greater than 158, 158 < 600.

Therefore, 600 mL is greater than 158 mL.

158 mL < 600 mL or 158 mL < 0.6 L.

Operations on measurement of capacity

Addition:

The two ways of addition are:

  1. By conversion
  2. Without conversion

By conversion:

We first convert the given addends to single unit.

Example:

Add 7 L 546 mL and 3 L 273 mL

Solution:

Step 1: First convert 7 L 546 mL to mL.

7 L 546 mL = 7 × 1000 mL + 546 mL = 7000 + 546 mL = 7546 mL

Step 2: Convert 3 L 273 mL to mL.

3 L 273 mL = 3 × 1000 mL + 273 mL = 3000 + 273 mL = 3273 mL

Step 3: Now add 7546 mL and 3273 mL.

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Step 4:Now convert 10,819 mL to L and mL.

We know 1 L = 1000 mL.

Divide 10,819 by 1000 to convert it litres.

10,819 ÷ 1000 = 10.819

10.819 L = 10 L and 819 mL

Therefore, the answer is 10 L and 819 mL

Without the conversion:

Examples:

Add 8 L 367 mL and 3 L 273 mL

Solution:

Arrange the measurements in columns according to their units and then add.

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Therefore, the answer is 11 L 640 mL.

Subtraction:

The two ways of subtraction are:

  1. By conversion
  2. Without conversion

By conversion:

Examples:

Subtract 7 L 546 mL from 9 L 273 mL

Solution:

Step 1: First convert 7 L 546 mL to mL.

7 L 546 mL = 7 × 1000 mL + 546 mL = 7000 + 546 mL = 7546 mL

Step 2: Convert 9 L 273 mL to mL.

9 L 273 mL = 9 × 1000 mL + 273 mL = 9000 + 273 mL = 9273 mL

Step 3: Now subtract 7546 mL from 9273 mL.

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Step 4: Now convert 1727 mL to L and mL.

Now convert 1727 mL to L and mL.

Divide 1727 by 1000 to convert it litres.

1727 ÷ 1000 = 1.727

1727 L = 1 L and 727 mL

Therefore, the answer is 1 L and 727 mL

Without the conversion:

Examples:

Add 3 L 284 mL from 5 L 145 mL

Solution:

Arrange the measurements in columns according to their units and then subtract.

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Therefore, the answer is 1 L 861 mL.

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