Mission 3Mission 3

Mission for 3Mission for 3:: To successfully find the volume of boxes and cubes.

VocabularyVocabulary:: volume, capacity

FormulasFormulas:: V = A base H

VolumeVolume

Volume is the measure of how much space something takes up.

Volume is measured in terms of units3.

Capacity is the measure of how much something can hold

Capacity is measured in litres

E.g.: The measure of how much this Pepsi cup holds is its capacity.

VolumeVolume

To find the volume of a box, one should use the formula listed below:

V=AbaseH

=lwh

Let’s do one!Let’s do one!

Find the volume of a box with the dimensions to the right.

You’re a human calculator!You’re a human calculator!Keep on rockin’!Keep on rockin’!

I’m sorry! I’m sure you tried I’m sorry! I’m sure you tried hard. The correct answer was hard. The correct answer was 308. Click on the thumb for an 308. Click on the thumb for an explanationexplanation

Here is your Answer...Here is your Answer...

V = l w h = (4)(7)(11)

= 308 units3

Remember… volume is measured in cubic units

Volume of A CubeVolume of A CubeWhat happens if the length, the width, and the height of the box are all the same?

Well, you have a cube on your hands. The formula for the volume of a cube is:

Let’s do one!Let’s do one!

Find the volume of a cube with the dimensions to the right.

Raise the roof. You are a Raise the roof. You are a mathlete in training!mathlete in training!

Even a cool dude like James Brown Even a cool dude like James Brown got that one right. You must be too got that one right. You must be too square. Click on the good looking guy square. Click on the good looking guy for an explanation.for an explanation.

Here is your Answer...Here is your Answer...

V = s3

= (4)3

= 64 units 3

Cube rootCube rootSuppose we know the volume of a sugar cube is 125 cm3. Could we find the length of the side of a cube? Yes, we can. But we mustuse something called a cube root.

Cube rootCube root

So if the cube has a volume of 125 cm3, then use the Volume formula to solve for the length of a side.

Let’s do one!Let’s do one!

B.C. Plastics Incorporated is offering a special on plastic bins which each hold 2127 cubic centimetres of “stuff.”

What is the length of an edge of the cube?

2 Legit! 2 Legit 2 Quit! 2 Legit! 2 Legit 2 Quit!

Good work!Good work!

Check Please. The correct Check Please. The correct answer is 12.6 cms. Click answer is 12.6 cms. Click on your guide to see how on your guide to see how it’s done!it’s done!

Here is your Answer...Here is your Answer...

= 12.86

3 2127