Resources tagged with: Volume and capacity

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There are 32 results

Broad Topics > Measuring and calculating with units > Volume and capacity

Cylinder Cutting

Age 7 to 11
Challenge Level

An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.

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?

Multilink Cubes

Age 7 to 11
Challenge Level

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

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?

All Wrapped Up

Age 7 to 11
Challenge Level

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

Next Size Up

Age 7 to 11
Challenge Level

The challenge for you is to make a string of six (or more!) graded cubes.

More Pebbles

Age 7 to 11
Challenge Level

Have a go at this 3D extension to the Pebbles problem.

More Christmas Boxes

Age 7 to 11
Challenge Level

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

Pouring Problem

Age 7 to 11
Challenge Level

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

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.

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?

Growing Rectangles

Age 11 to 14
Challenge Level

What happens to the area and volume of 2D and 3D shapes when you enlarge them?

At the Pumps

Age 7 to 11
Challenge Level

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

Cuboid Challenge

Age 11 to 16
Challenge Level

What's the largest volume of box you can make from a square of paper?

Cola Can

Age 11 to 14
Challenge Level

An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?

Oh! Harry!

Age 7 to 11
Challenge Level

A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?

Changing Areas, Changing Volumes

Age 11 to 14
Challenge Level

How can you change the surface area of a cuboid but keep its volume the same? How can you change the volume but keep the surface area the same?

Sending a Parcel

Age 11 to 14
Challenge Level

What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?

Efficient Cutting

Age 11 to 14
Challenge Level

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.

The Genie in the Jar

Age 11 to 14
Challenge Level

This jar used to hold perfumed oil. It contained enough oil to fill granid silver bottles. Each bottle held enough to fill ozvik golden goblets and each goblet held enough to fill vaswik crystal. . . .

Colourful Cube

Age 11 to 14
Challenge Level

A colourful cube is made from little red and yellow cubes. But can you work out how many of each?

Volume of a Pyramid and a Cone

Age 11 to 14

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.

Plutarch's Boxes

Age 11 to 14
Challenge Level

According to Plutarch, the Greeks found all the rectangles with integer sides, whose areas are equal to their perimeters. Can you find them? What rectangular boxes, with integer sides, have. . . .

Maths Filler

Age 11 to 14
Challenge Level

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

Thousands and Millions

Age 11 to 14
Challenge Level

Here's a chance to work with large numbers...

Place Your Orders

Age 11 to 14
Challenge Level

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

Fill Me Up

Age 11 to 14
Challenge Level

Can you sketch graphs to show how the height of water changes in different containers as they are filled?

Boxed In

Age 11 to 14
Challenge Level

A box has faces with areas 3, 12 and 25 square centimetres. What is the volume of the box?

Chocolate Cake

Age 11 to 14
Challenge Level

If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?

Zin Obelisk

Age 11 to 14
Challenge Level

In the ancient city of Atlantis a solid rectangular object called a Zin was built in honour of the goddess Tina. Your task is to determine on which day of the week the obelisk was completed.

A Jar of Teddies

Age 7 to 14
Challenge Level

How many teddies are in the jar? How many teddies could you fit in your classroom?

All in a Jumble

Age 11 to 14
Challenge Level

My measurements have got all jumbled up! Swap them around and see if you can find a combination where every measurement is valid.