### 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 Fluid ounce: –**Is equal to the volume of a**small medicine cap**.

**1 Cup: –**A small glass holds about**8 fluid ounces**.

**1 Pint: –**A**large glass of milk**.

**1 Quart:**– When we want to use**many cups of liquid and**put them together, we might want to use a quart.

**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.

**14 pints to quart**

Solution: –

Since, 1 quart = 2 pints

Therefore, 1 pint = ½ quart

Now, for 14 pints = ½ ×14

= **7 quarts(qt)**

**8 gallons to pint**

Solution: –

Since, 1 gal = 8 pints

Therefore, 8 pints = 8 × 8

= **64 pints(pt)**

**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)**

- 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.**

- 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**

- 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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