Currently viewing the tag: "Properties of 3D shapes"
Here are some pictures of 3D shapes made from cubes and drawings of two of the shapes on dotty paper. Can you make these shapes yourself?
A tetrahedron (plural tetrahedra) is a solid with four triangular faces. How many different tetrahedra can you make using the four different types of triangle shown in the diagram if you have an unlimited number of each type?
Type R are right angled isosceles triangles with sides a, a and b units.
Type […]
This practical activity involves making a skeletal model of an icosahedron by tying together sticks made from paper rolled tightly around pieces of string. Make 6 rhombuses as shown with 5 sticks for each one.
Tie the rhombuses together to make this pattern noting how the different coloured rhombuses […]
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.
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 cube, […]
Copy this diagram. Why do the diagonals of a unit cube have lengths √2 and √3?
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.
What are the lengths […]
A tetrahedron and an octahedron, both have equilateral triangular faces.
Can you arrange these 8 polyhedra in a line so that every two polys next to each other have a face of the same shape. The matching faces do not need to be the same size.
Here are three views of the same cube.
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.
This model is made with 33 small cubes.
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 is 64.75 degrees to the highest point A of the arc, directly above the centre of the Moses Madhiba Soccer Stadium in Durban. The soccer pitch is 100 metres long (PQ in the diagram) and […]
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