Driving Question
When do you know you have the correct answer?
Learning Target
To use you knowledge of nets and the volume of cuboids to investigate the maximum possible area of a box.
To use you knowledge of nets and the volume of cuboids to investigate the maximum possible area of a box.
Success Criteria
Beginning
To construct nets of trays.
Developing
To be able to calculate and record the volume cuboids and then to use trial and improvement to find the maximum volume.
Mastering
To investigate how things change if you start with a different sizes square.
Resources
Beginning
B1
B2
Watch this video which outlines your task over the next few lessons.
B3
Here is a diagram that shows you again how to draw the net.
Developing
D1
As in the video the next step is the calculate the volume of the tray.
If you need some reminding of how the volume of cuboids are calculated please watch this video: Volume of Cuboids
D2
Record you results on a table in your books.
D3
What have you discovered?
What is the largest volume?
How do you know your answer is correct?
Mastering
M1
Now consider changing the size of the square you start with. Consider using a:
- 18cm x 18cm Square
- 18cm x 18cm Square
- 16cm x 16cm Square
What have you discovered?
M2
Now consider changing the shape of the square you start with. Consider using a:
- 20cm x 15cm Rectangle
- 20cm x 15cm Rectangle
- 15cm x 10cm Rectangle
What have you discovered?