What is a 3-dimensional object?

The objects around you, the ones you can pick up, touch, and move around

These shapes have a third dimension: depth.

Three-dimensional objects can be rotated 

in space.

Surface Area and Volume of 

                  3-dimensional figures

There are many real-life cases when these have to be found. But what exactly IS surface area and volume? What does it mean??

Surface Area-  the amount of space covering the outside of a three-dimensional shape  (ex: to figure out how much paint to buy to paint these walls)

OR the sum of all the surfaces on each side of a three-dimensional shape (the amount of wrapping paper to wrap a present)

Volume- the space occupied within the boundaries of an object in three-dimensional space. 

- AKA: the capacity of an object 

- Finding the volume can help us to determine the amount required to fill that object!

---like the amount of food/liquid a can holds

---the amount of water needed to fill a bottle or a pool

---the amount of cereal a box can hold

---the amount of coke in a can

Cylinder- A solid object with:

• two identical flat ends that are circular (or more generally have a curved boundary)
• and one curved side.

Pyramid- A solid object where:

• The sides are triangles which meet at the top (the apex).

• The base is a polygon (a flat shape with straight sides)

These are square pyramids, but there are also triangular pyramids, pentagonal pyramids, and so on.

Apex

Apex

Cone- A solid (3-dimensional) object that has a circular base joined to a point by a curved side.

*The point is called a vertex.*

Vertex

A sphere is a geometrical figure that is perfectly round, 3-dimensional and circular - like a ball. 

all its surface points are equal distances from the center

Your Assignment

Click on the Powtoon link and watch the videos posted at the end to learn the formulas for finding the volume of each---write them down!

1. Cylinder

2. Pyramid

3. Cone

4. Sphere

https://www.powtoon.com/s/bcUDavPJnSB/1/m/s

Using ChatterPix, (link on next page), you will find your own real-life example of each and explain how to find the volume.

Your assignment (continued):

Watch the video at this link:

https://www.duckduckmoose.com/educational-iphone-itouch-apps-for-kids/chatterpix/

1. Download the app on your phone.

2. Find one real life object for each (can be from classroom, home, or found online).

3. Using the voice feature, explain how to find the volume for each 3-dimensional object.

4. Share with me via email.