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### Number and algebra

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# Surface Area and Volume

### Colourful Cube

### Sending a Parcel

### Changing Areas, Changing Volumes

### Cola Can

### Cuboids

### Efficient Cutting

### Cuboid Challenge

### Painted Cube

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Age 11 to 14

Challenge Level

A colourful cube is made from little red and yellow cubes. But can you work out how many of each?

Age 11 to 14

Challenge Level

What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?

Age 11 to 14

Challenge Level

Working on this problem will give students a deeper understanding of the relationship between volume and surface area, and how they change as the dimensions of a cuboid are altered.

Age 11 to 14

Challenge Level

An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?

Age 11 to 14

Challenge Level

Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

Age 11 to 14

Challenge Level

This problem offers an opportunity for students to apply their knowledge of areas and circumferences of circles, and volumes of cylinders.

Age 11 to 16

Challenge Level

This problem offers opportunities for visualising, and for consolidating the formula for working out the volume of a cuboid.

Age 14 to 16

Challenge Level

Exploring a variety of painted cubes may produce patterns which students can describe spatially, numerically and algebraically.