A colourful cube is made from little red and yellow cubes. But can you work out how many of each?
What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?
This problem offers opportunities for visualising, and for consolidating the formula for working out the volume of a cuboid.
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.
Find a cuboid (with edges of integer values) that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?
This problem offers an opportunity for students to apply their knowledge of areas and circumferences of circles, and volumes of cylinders.
An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?
Exploring a variety of painted cubes may produce patterns which students can describe spatially, numerically and algebraically.