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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?

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

Maths Filler 2

Age 14 to 16 Challenge Level:

The A is the most awkard letter. Before you start plot the A on squared paper and work out the areas of each of the cross sections at the various heights. Don't forget that you can work in fractions of whole squares and use the formula for the area of a trapezium.