Volume and capacity

There are 55 NRICH Mathematical resources connected to Volume and capacity
Sending a Parcel
problem
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Sending a parcel

Age
11 to 14
Challenge level
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What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?
Growing Rectangles
problem
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Growing rectangles

Age
11 to 14
Challenge level
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What happens to the area and volume of 2D and 3D shapes when you enlarge them?
Efficient cutting
problem
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Efficient cutting

Age
11 to 14
Challenge level
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Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.
Next size up
problem
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Next size up

Age
7 to 11
Challenge level
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The challenge for you is to make a string of six (or more!) graded cubes.

Pouring Problem
problem
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Pouring problem

Age
7 to 11
Challenge level
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What do you think is going to happen in this video clip? Are you surprised?

A jar of teddies
problem

A jar of teddies

Age
7 to 14
Challenge level
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How many teddies are in the jar? How many teddies could you fit in your classroom?
Finding Out!
problem

Finding out!

Age
7 to 11
Challenge level
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Explore all aspects of measurement in this activity.
Chocolate cake
problem

Chocolate cake

Age
11 to 14
Challenge level
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If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
Cylinder Cutting
problem

Cylinder cutting

Age
7 to 11
Challenge level
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An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.
Plane to See
problem

Plane to see

Age
16 to 18
Challenge level
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P is the midpoint of an edge of a cube and Q divides another edge in the ratio 1 to 4. Find the ratio of the volumes of the two pieces of the cube cut by a plane through PQ and a vertex.