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# Capacity in Maths – Definition, Types, Examples

Sep 17, 2022

### Key Concepts

• Identify customary units of measurement for capacity.
• Use multiplication and division to determine the customary measurement equivalences.
• Use measuring tools and purpose of meaning.

Introduction:

## Capacity in Maths:

Capacity is the total amount of fluid that can be contained in a container, It is the word we use when we measure liquid.

We use multiplication and division to determine customary measurement equivalencies.

Vocabulary

Gallon

Quart

Pint

Cup

Fluid Ounce

Notes- Capacity term is use to measure the amount of liquid in the container.

## Some basic Customary Unit of capacity and relation between.

### Quantity of Customary units of Capacity (Approximate)

1. 1 Fluid ounce: – Is equal to the volume of a small medicine cap
1. 1 Cup: – A small glass holds about 8 fluid ounces
1. 1 Pint: – A large glass of milk
1. 1 Quart: – When we want to use many cups of liquid and put them together, we might want to use a quart.
1. Gallon: – If we still need more liquid, we can switch to gallon.

### Conversion between the units of Capacity

To convert larger unit to a smaller unit, we multiply.

Example1:

Example2:

To convert smaller unit to a larger unit, we divide.

Example 1:

Example 2:

Observe the image carefully and try to solve the questions based on conversion between the units of capacity.

1. 14 pints to quart

Solution: –

Since, 1 quart = 2 pints

Therefore, 1 pint = ½ quart

Now, for 14 pints = ½ ×14

= 7 quarts(qt)

1. 8 gallons to pint

Solution: –

Since, 1 gal = 8 pints

Therefore, 8 pints = 8 × 8

= 64 pints(pt)

1. 18 ½ quart to cups

Since, 1 quart = 4 cups

Therefore, 18 ½ qt = 18 × 4 + ½ × 4

= 72 + 2

= 74 cups

4.    64 quarts to gallons

Solution: –

Since, 1 gallon = 4 quarts

Therefore, 1 quart = ¼ gallon

Now, for 64 quarts = 64 × ¼

= 16 gallons (gal)

5.   13 cups to quarts

Solution: –

Since, 1 quart = 4 cups

Therefore, 1 cup = ¼ quart

Now, for 13 cups = 13 × ¼

= 12-quart 1cup (12qt 1c)

### Real life applications based on units on Capacity (Word Problems)

1. A tall glass can hold 2 pints and a big mug can holds 34 oz. Which one holds more?

Solution: – Since 1 pt = 16 oz

So, 2 pints = 16 × 2 = 32 oz(ounces)

Therefore, A big mug can hold more.

1. How many ounces are there in 4 quarts?

Solution: Since 32 fl. Oz (fluid ounces) = 1 quart (qt)

So, 4 qt = 32 × 4 = 128 fl. oz

1.  John made some mashed onion. For every two onions he boiled, he added 2 ounces of milk. If he boiled 16 onions, how much milk did he add to the mashed onion?

Solution: 16 ÷ 2

= 8 fl oz

Concept Map:

### What have we learned:

• Students have learned about the identification of units of capcity
• Covert smaller units to large unit
• Convert larger unit to smaller unit.
• With different model of images student have learnt the real-life applications of capacity

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