![Tiling into slanted rectangles](/sites/default/files/styles/medium/public/thumbnails/content-id-7733-icon.jpg?itok=VQ_xWFGQ)
Surface and surface area
![Tiling into slanted rectangles](/sites/default/files/styles/medium/public/thumbnails/content-id-7733-icon.jpg?itok=VQ_xWFGQ)
![Tiles in the Garden](/sites/default/files/styles/medium/public/thumbnails/content-id-7544-icon.jpg?itok=YOzXKOiQ)
![Changing areas, changing volumes](/sites/default/files/styles/medium/public/thumbnails/content-id-7535-icon.jpg?itok=LG0I1Lx7)
problem
Changing areas, changing volumes
How can you change the surface area of a cuboid but keep its volume the same? How can you change the volume but keep the surface area the same?
![Uniform units](/sites/default/files/styles/medium/public/thumbnails/content-id-6479-icon.png?itok=9LpEIWal)
problem
Uniform units
Can you choose your units so that a cube has the same numerical value for it volume, surface area and total edge length?
![Funnel](/sites/default/files/styles/medium/public/thumbnails/content-id-5890-icon.png?itok=RyYhWbEa)
problem
Funnel
A plastic funnel is used to pour liquids through narrow apertures.
What shape funnel would use the least amount of plastic to
manufacture for any specific volume ?
![Cola Can](/sites/default/files/styles/medium/public/thumbnails/content-id-5888-icon.png?itok=MAEKcvbC)
problem
Cola Can
An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?
![Peeling the Apple or The Cone that Lost its Head](/sites/default/files/styles/medium/public/thumbnails/content-id-4979-icon.jpg?itok=7O5sxdIb)
![All Wrapped Up](/sites/default/files/styles/medium/public/thumbnails/content-id-4919-icon.jpg?itok=dyH45CxH)
![Brush Loads](/sites/default/files/styles/medium/public/thumbnails/content-id-4911-icon.jpg?itok=P72P2b_V)
problem
Brush Loads
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
![Tin Tight](/sites/default/files/styles/medium/public/thumbnails/content-id-4797-icon.jpg?itok=R3xEZo91)