To make a model showing how cubes are made up of three square based pyramids, you will need a cardboard box, some string, some colouring pens and a knife or scissors to cut the box.
From one corner of a box cut squares all exactly the same size to form 3 faces of a […]
Copy this diagram. To draw a cube first draw a square, then draw another square the same size that looks as if it is behind the first square, then join the vertices with four parallel lines.
Why do the diagonals of a unit cube have lengths √2 and √3?
What are the lengths of the […]
The Great Pyramid at Giza in Egypt was built around 2500 BC. The pyramid has a square base ABCD with sides 232.6 metres long. The distance from each corner of the base to the apex E was originally 221.2 metres.
Draw a diagram of the pyramid to show two right angled triangles […]
The edges of the triangle are the same length. What about the […]
A tetrahedron and an octahedron, both have equilateral triangular faces.
One face (not shown) is plain yellow.
The other five faces have squares on them coloured blue, orange, pink, green and red.
Which face is opposite the blue one?
Draw a net of this cube and label the six faces.
Click here for […]
You see three different views:
when you look you look straight down from above (the plan) when you look straight at the model from the side (side view) when you look straight at the model from the front (front view). […]
The angle of elevation from a point C on the ground, at the centre of the goalpost, to the highest point A of the arc, directly above the centre of the Moses Madhiba Soccer Stadium in Cape Town, is 64.75 degrees. The soccer pitch is 100 metres long (PQ […]
Click on Advent Calendar to go to the NRICH website to find 24 Making Maths activities. These are equally good for all the year round.
You will find instructions for making all sorts of mathematical models and learning aids from very cheap materials that will help you to learn, understand and enjoy mathematics […]
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 […]