This PowerPoint is to explain to you what volume, capacity, and conversions are.This will help you during your 5th grade year. Good Luck!

What is Capacity?

Capacity is the greatest amount that something can hold.

Ex. 1 : The paint bucket is filled with 5 quarts.

Ex. 2 : My water bottle is filled with 1 pint of water.

Ex. 3 : My mom filled the medicine cap until it reached 1 fluid ounce.

Ex. 4 : When my mom was cooking dinner she let me fill the saucepan with 2 cups of water.

Ex. 5 : My soda pop can was filled with 12 ounces of soda.

A helpful tip on how to convert standard capacity units!

The picture you see to your right you can

call either BIG G or Gallon Man. The big g stands for gallon, the q stands for quart, the p stands for pint, and the c stands for cup. You can use this to see how many quarts are in a gallon, how many pints are in a quart ,and so much more. For example:

1. 4 quarts=_gallon -

If you look at big g you can see 4 quarts in big g. So, 4 quarts equals 1 gallon.

2. 2 pints=_quarts -

If you look at big g you can see 2 pints in a quart. So, 2 pints equals 1 quart.

3. 2 cups=_pint -

If you look at big g you can see 2 cups in 1 pint. Therefore, 2 cups equals 1 pint.

a helpful hint for converting metric capacity units!

Have you ever heard of the acronym King Henry Died Monday Drinking Chocolate Milk (KHDMDCM)? If you haven't then KHDMDCM is used for converting metric capacity. King Henry Died Monday Drinking Chocolate Milk is just how to remember it.

The real math version of it is:

Here are some examples:

1. 500 ml.=_liters

Write down khdmdcm and start at ml. next, count how many hops it takes you to get to liter, which is 3 hops, then move the decimal on 500 (decimal is at the end of number on right side) 3 times which is now 0.500. You can simplify 0.500 to 0.5. 500ml. = 0.5 liters

2. 6,000 liters = _ ml.

Just like before, write down khdmdcm and start at Liter, hop your way to ml. (3 hops) then hop decimal over 3 times: 6.000, finally you can simplify it to 6.

6,000 liters = 6 ml.

3. 230 meters= _ centimeters

Once again, write down khdmdcm and start at meters and hop to centimeters (chocolate). 2 hops. So, hop the decimal in 230 over 2 times, which is 2.30 meters. You can simplify 2.30 to 2.3. So, 230 meters = 2.3 centimeters.

What is Volume

How are Volume and Capacity alike and different?

More Volume Examples...

Definition of volume - You might think that volume is the sound on your radio or TV, but it is actually the amount of space inside an object such as a cube.

Here are some examples for volume:

1. Lauren's book box is 15in. long, 25in. wide, 12in. tall. What is the volume of the box? This is how you would work it:

step 1 : first you have to write the formula which is: V= l w h

What this row of the formula means is- volume equals length times width times height.

step 2 : next you have to write the second row. The second row is V= 15 x 25 x 12.

The first number is the length, the second number is the width, and the third number is the height. *Remember!!!- line up the length on the second row with the

length on the first row. Do the same with the width and height. Now let's do our multiplication: 15 x 25 = 375 375 x 12 = 4,500

step 3: Finally, you have to write the third and final row: V= 4,500 cubic in.

2. Justin's color box is 8in. long, 5in. wide, and 2in. tall. What is the volume of the box? This is how you will work it:

1 step: First you have to write the formula: V= l w h

This row means volume equals length times width times height.

2 step: Next you have to write the second row: V= 8 x 5 x 2

This row means that you have to multiply the length by the width by the height. *Remember!!!- line up the length on the second row with the length on the first row, line up the width with the width, and the height with the height. Now let's multiply the length and width and the height: 8 x 5 = 40 40 x 2 = 80

3 step: Finally, you have to write the third and final row: V= 80 cubic in.

What this row means is volume equals 80 cubic inches. *Remember!!!- When you are doing volume you have to put for your answer cubic and then whatever your measurement is. You will find out why in your later slides.

How can I find the volume of cubes and rectangular prisms?

Why do we use cubic units when describing volume?

More Volume Examples...

3. Allie is moving to a house in Florida and one of her moving boxes is: 25in. long, 20in. wide, and 10in. tall. What is the volume of the box? This is how you will work it:

step 1: First you have to write down the formula: V= l w h

This row means volume equals length times width times height.

step 2: Next you have to write the second row: V= 25 x 20 x 10

What this row means is you have to multiply the length (25) the width (20) and the height (10). 25 x 20 = 500 500 x 10 = 5,000

step 3: Finally, you have to write the third and final row: V= 5,000 cubic in.

All together it should look like: V= l w h

V= 25 x 20 x 10

V= 5,000 cubic in.

**by: Madison Hand and Diamond Hubbard**

Volume

**Handbook for future 5th grader**

**volume and capacity**

capacity

links

http://www.mathsisfun.com/definitions/volume.html

http://www.mathsisfun.com/definitions/capacity.html

http://www.ducksters.com/kidsmath/finding_the_volume_of_a_cube_or_box.php

http://www.coolmath.com/reference/math-dictionary-V.html#Volume

http://www.sheppardsoftware.com/mathgames/geometry/shapeshoot/VolumeShapesShoot.htm

http://www.maths-games.org/measurement-games.html

http://www.aasd.k12.wi.us/staff/boldtkatherine/MathResources3-6/Math_Measurement.htm

http://www.sheppardsoftware.com/mathgames/measurement/BestMeasure2.htm

Big G

KHDMDCM

Volume

How are They

Alike?

Capacity

- both use metric and standard measurement

- amount something can hold

Volume

- amount of

3-dimensional space an object occupies

Kayla bought some trendy shoes at Walmart. The shoe box was 12 in. long, 7 in. wide, and 5 in. tall. What is the volume of the box?

This is how you would find the volume of the box:

Step 1: First you have to write the first row which is: V= l w h

*Remember!!!- Area equals length times width, Volume equals lenght times width times height.

Step 2: Next you have to write the second row: V= 12 x 7 x 5

*Remember!!!- Please, please, please remember that to write this the right way you have to line up the length on the second row with the length on the first row. It is the same with the width and the height.

Step 3: Now you have to multiply 12 x 7 x 5: 12 x 7 = 84 84 x 5 = 420

Step 4: Finally you have to put it all together: V= l w h

V= 12 x 7 x 5

V= 420 cubic inches

We use cubic units for volume, because we are measuring a cube (3-dimensional shape). As you can see the word cubic has the first 3 letters of the word cube. That should be easy to remember.

We use square units when measuring area, because we are measuring a square (2-dimensional shape).

Square Unit

More examples of previous slide

one more example

Mackenzie bought a paint set. The paint set came in a cardboard box. The cardboard box was 1 foot long, 2 feet wide, and 1 foot tall. What is the volume of the paint set box? This is how you would work it:

Step 1: First you have to write the formula: V= l w h

Step 2: Next you have to write the second row: V= 1 x 2 x 1

Step 3: Multiply: 1 x 2 = 2 2 x 1 = 2

Step 4: Then you have to write the third and final row: V= 2 cubic feet

Step 5: Now, put it all together: V= l w h

V= 1 x 2 x 1

V= 2 cubic feet

Sara got a package in the mail. The box was 3 feet long, 4 feet wide, and 2 feet tall. What is the volume of the box? Here is how you would find the volume:

Step 1: First you have to write the formula: V= l w h

Step 2: Next, you have to write the second row: V= 3 x 4 x 2

Step 3: Multiply: 3 x 4 = 12 12 x 2 = 24

Step 4: Finally you have to write the third and final row: V= 24 cubic feet

Step 5: Now put it all together!: V: l w h

V: 3 x 4 x 2

V: 24 cubic feet

Here is a helpful hint on how to convert standard and metric capacity units!!!

Use LSM and SLide.

What is LSM and SL ide?

Here we'll show you: 1 . LSM stands for: Larger to Smaller Multiply

What it means: Larger unit to a smaller unit, you need to multiply.

2. SL ide stands for: Smaller to Larger divide.

What it means: Smaller unit to a larger unit, you need to divide.

Here are some examples for LSM: 1. 21 gallons = _ quarts

Step 1: As you can see gallons is a larger unit then quarts, so you would use LSM.

Step 2: Remember in the previous slide when we were talking about big g (gallon man)? Well this is when you would use him. Ask yourself: "How many quarts will go in a gallon?" If you look at big g you can see 4 quarts (4 q's) in a gallon.

Step 3: Now you have to multiply 21 x 4 =

21 x 4 = 84

More examples:

LSM: 2. 15 quarts = _ pints

Step 1: As you can see quarts is bigger than pints (if you do not know that look at big g) so we are going to use LSM.

Step 2: How many pints are in a quart? Look at big g and you can see 2 pints ( 2 p's ) in a quart.

Step 3: Now you have to multiply 15 x 2 =

15 x 2 = 30

15 quarts = 30 pints

SL ide: 3. 12 cups = _ quarts

Step 1: As you can see cups is smaller than quarts, so you will use SL ide.

Step 2: How many quarts will go into a cup? To find how many quarts go into a cup you have to divide 4 into 12. 12 divided by 4 is 3.

12 cups = 3 quarts

21 gallons = 84 quarts