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Three Cubes

Can you work out the dimensions of the three cubes?

Concrete Calculation

The builders have dug a hole in the ground to be filled with concrete for the foundations of our garage. How many cubic metres of ready-mix concrete should the builders order to fill this hole to make the concrete raft for the foundations?

In a Spin

What is the volume of the solid formed by rotating this right angled triangle about the hypotenuse?

Tubular Stand

Age 14 to 16
Challenge Level

Two pieces of dowel placed end-to-end and rotated should reveal a "neat" fit. Some cardboard wrapping paper tubes or toilet paper holders can be very useful in illustrating this point.