VOLUME OF A PYRAMID
ACTIVITY
In your groups, you will need to create 6 identical square based pyramids.
• The base of each pyramid will be 8 cm by 8 cm.
• The vertical height will be 4 cm.
4 cm
Step 1 Start by drawing a net
8 cm
It is important to draw your net measurements accurately!!!!
We need to calculate the slant height to be able to create a vertical height of 4 cm.
8 cm
Step 2
Cut the net out carefully.
Step 4
Step 3
Tape together to create a pyramid.
Once you have all 6 pyramids, try to fit them all together to make another 3­D shape.
VOLUME OF A PYRAMID
QUESTIONS
1. What shape did you produce?
2. Calculate the volume.
3. How can you use your answer above to determine the volume of one pyramid?
CONCLUSIONS
Cube
Pyrmaid
x
x
2
x
x
x
x
V=
V=
Volume of a Pyramid = Examples: Find the volume of the following pyramids.
a) b) 31 ft
115 mm
82 mm
82 mm
12 ft
12 ft
VOLUME OF A CONE DEMONSTRATION 2: CONE VS CYLINDER
1. Look at the examples of this cylinder and this cone. Notice that they have the same __________ and __________ .
2. Which container do you think will hold the greater volume? _________________
3. Guess how much more it will hold. _________________
4. How many times did we pour the contents of the cone into the cylinder? _________________
5. Write down the formula for the volume of a cylinder. _________________
6. Based on your findings, predict the formula for the volume of a cone. _________________
Volume of a Cone = Examples: Determine the volume of the following.
a)
b)
12 mm
5 mm
c)
d)
Homework: Page 394­397 #1, 3a, 10
Page 407 #9