# 1.5 Optimisation - Cuboid

- Author:
- Sam Waterfield, Elliot Henchy

## Applet explorations

**1)**The goal here is to find the minimum possible surface area for the given (constant) volume. Why might this be desirable in the real world?

**2)**Play around with the applet to get a feel for the problem geometrically. What is the minimum possible surface area for the baking tin? For what approximate values does this occur?

**3)**Ensure you are happy with where the volume calculation is coming from. Can you set up a similar formula for the surface area? (Remember, it is an

*open-topped*cuboid.)

**4)**Verify your previous findings using calculus. You will need both of the previous expressions for this.

**Summarise any key points at the bottom of the page.**

## Applet conclusions

Note any key points from this activity. How can this applet be used to develop our understanding of calculus?