**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.

**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

- 18cm x 18cm Square

**size**of the square you start with. Consider using a:- 18cm x 18cm Square

- 16cm x 16cm Square

What have you discovered?

M2

M2

Now consider changing the

- 20cm x 15cm Rectangle

**shape**of the square you start with. Consider using a:- 20cm x 15cm Rectangle

- 15cm x 10cm Rectangle

What have you discovered?