Volume and capacity

There are 56 NRICH Mathematical resources connected to Volume and capacity

problem

Making Boxes

Age

7 to 11

Challenge level

Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?

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

Multilink Cubes

Age

7 to 11

Challenge level

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

article

Mouhefanggai

Imagine two identical cylindrical pipes meeting at right angles and think about the shape of the space which belongs to both pipes. Early Chinese mathematicians call this shape the mouhefanggai.

article

Volume of a Pyramid and a Cone

These formulae are often quoted, but rarely proved. In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts.

problem

Pouring Problem

Age

7 to 11

Challenge level

What do you think is going to happen in this video clip? Are you surprised?

Or search by topic

Number and algebra

Geometry and measure

Probability and statistics

Working mathematically

Advanced mathematics

For younger learners

Volume and capacity

Making Boxes

The Big Cheese

Multilink Cubes

Mouhefanggai

Volume of a Pyramid and a Cone

Pouring Problem