Resources tagged with: Volume and capacity

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

More Christmas Boxes

Age 7 to 11Challenge 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?

Next Size Up

Age 7 to 11Challenge Level

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

All Wrapped Up

Age 7 to 11Challenge Level

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

Age 7 to 11Challenge Level

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

Age 7 to 11Challenge 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 11Challenge 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?

Changing Areas, Changing Volumes

Age 11 to 14Challenge 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?

More Pebbles

Age 7 to 11Challenge Level

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

Cuboid-in-a-box

Age 7 to 11Challenge 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?

Pouring Problem

Age 7 to 11Challenge Level

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

Cylinder Cutting

Age 7 to 11Challenge Level

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

Sending a Parcel

Age 11 to 14Challenge Level

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

Making Boxes

Age 7 to 11Challenge Level

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

Boxed In

Age 11 to 14Challenge Level

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

Colourful Cube

Age 11 to 14Challenge Level

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

At the Pumps

Age 7 to 11Challenge Level

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

Cola Can

Age 11 to 14Challenge Level

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

Cuboid Challenge

Age 11 to 16Challenge Level

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

Plutarch's Boxes

Age 11 to 14Challenge 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. . . .

The Genie in the Jar

Age 11 to 14Challenge 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. . . .

Efficient Cutting

Age 11 to 14Challenge 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.

Oh! Harry!

Age 7 to 11Challenge Level

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

A Jar of Teddies

Age 7 to 14Challenge Level

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

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.

Growing Rectangles

Age 11 to 14Challenge Level

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

Thousands and Millions

Age 11 to 14Challenge Level

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

Zin Obelisk

Age 11 to 14Challenge 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.

Chocolate Cake

Age 11 to 14Challenge Level

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

All in a Jumble

Age 11 to 14Challenge Level

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

Fill Me Up

Age 11 to 14Challenge Level

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