**"Volume"**

## Grades 6 to 8 Same Volume

*By toni On 29 October, 2017 · Leave a Comment*

What is the volume of this cuboid?

How many other cuboids with whole number dimensions have the same volume?

Do any of them have the same surface area?

Which has the biggest surface area? Which has the smallest?

How many have a square cross section?

Click here for Notes for Teachers.

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## Grades 10 to 12 Woodwork

*By toni On 29 July, 2017 · Leave a Comment*

This stand is made from cylindrical wooden dowel of diameter 1 cm joined at the corners with 45 degree mitres.

The external dimensions of the stand are 10 cm by 10 cm.

What are the volume and surface area of the stand?

The sketch below shows how I marked […]

## Grades 6 to 10 Drinking Water

*By toni On 15 July, 2017 · Leave a Comment*

This United Nations Childrens’ Fund pie chart shows the global locations of 783 million people who did not have safe drinking water in 2012 and this number is increasing.

The total world population in 2017 is 7.5 billion (7,500,000,000). What percentage of the world population is without safe drinking water?

The world […]

## Grades 10-12 Tops

*By toni On 26 June, 2017 · Leave a Comment*

A spinning top is made from two pieces glued together, a hemisphere and a cone.

(1) If the radius of the circular surface where the pieces are glued together is 3 cm, and the slant height of the cone is 5 cm, work out the total volume and surface area of the […]

## Grades 4 to 7 Bottles and Capacity

*By toni On 26 June, 2017 · Leave a Comment*

You will need a collection of jars and bottles of different sizes and shapes, like those in the picture. Alternatively you can do this activity with 2 or more jars or bottles and some water or with paper cups of different sizes and sand.

Which holds the most? Which holds the least? […]

## Grades 5 to 7 Cups and Capacity

*By toni On 25 June, 2017 · Leave a Comment*

(1) You will need a collection of cups, either disposable cups like the ones shown or any mugs and cups you have available. You will also need some water and a measuring jug.

Which cup would you fill with water if you are really thirsty and want a lot to drink?

Arrange […]

## Grades 7 to 10 Painted Cube

*By toni On 5 November, 2016 · 22 Comments*

Imagine a large cube made up from 27 small red cubes each measuring 1 cm by 1 cm by 1 cm. What is its volume?

Imagine dipping the large cube into a pot of yellow paint so the whole outer surface is covered. What is its surface area?

Now imagine breaking the […]

## Grades 9 to 12 Max-Box

*By toni On 4 November, 2016 · Leave a Comment*

Take a sheet of paper 20 cm by 20 cm and make a box without a lid by cutting out a square at each corner and folding up the flaps. What is the volume of your box?

Make boxes with different volumes by varying the sizes of the squares that you cut […]

## Grade 9 or 10 – Enlargement

*By toni On 31 October, 2016 · Leave a Comment*

Make enlargements of the coloured shapes by fitting together four identical smaller shapes.

How much longer are the edges (the linear scale factor of the enlargement)?

How much bigger is the area (the area scale factor of the enlargement)?

Now look at the illustration of the 3-dimensional solids. One is […]

## Grade 10 or 11 – Cola Can

*By toni On 18 February, 2016 · Leave a Comment*

An aluminium can contains 330 ml of cola.

If the can’s diameter is 6 cm what is the can’s height?

If instead the can’s height was 10 cm what would the can’s diameter have to be?

Which of these two cans uses the least aluminium?

If you could choose any diameter which dimensions for […]

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