Volume and capacity

problem

In a Spin

Age

14 to 16

Challenge level

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

Tubular Stand

Age

14 to 16

Challenge level

If the radius of the tubing used to make this stand is r cm, what is the volume of tubing used?
problem

Multilink Cubes

Age

7 to 11

Challenge level

If you had 36 cubes, what different cuboids could you make?
problem

The Big Cheese

Age

7 to 11

Challenge level

Investigate the area of 'slices' cut off this cube of cheese. What would happen if you had different-sized block of cheese to start with?
problem

Double Your Popcorn, Double Your Pleasure

Age

7 to 11

Challenge level

We went to the cinema and decided to buy some bags of popcorn so we asked about the prices. Investigate how much popcorn each bag holds so find out which we might have bought.
problem

More Christmas Boxes

Age

7 to 11

Challenge level

What size square should you cut out of each corner of a 10 × 10 grid to make the box that would hold the greatest number of cubes?
problem

At the Pumps

Age

7 to 11

Challenge level

How will you find out how much a tank of petrol costs?
problem

Finding Out!

Age

7 to 11

Challenge level

Explore all aspects of measurement in this activity.
problem

All Wrapped Up

Age

7 to 11

Challenge level

What is the largest cuboid you can wrap in an A3 sheet of paper?
problem

Cuboid-In-A-Box

Age

7 to 11

Challenge level

What is the smallest cuboid that you can put in this box so that you cannot fit another that's the same into it?