Currently viewing the tag: "Polyhedra"
In these activities you will investigate the properties of prisms and pyramids. Full instructions are given as to how to roll scrap paper tightly around string to make paper sticks and tie the string together at the vertices to make ‘skeleton’ 3D polyhedra. There are activities for teachers to engage with together […]
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.
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 […]
Show that is it impossible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units.
Is it possible for a tetrahedron to have edges of lengths 10, 20, 25, 45, 50 and 60 units?
Can you write general rules for someone else to use to check whether […]
Here you see the front and back views of a dodecahedron which is a solid with pentagonal faces.
Using twenty of the numbers from 1 to 25, each vertex can be numbered so that the numbers around each pentagonal face add up to 65.
The number F is the number of faces […]
ABCD is a regular tetrahedron and the points P, Q, R and S
are the midpoints of the edges AB, BD, CD and CA.
Prove that PQRS is a square.
What does this tell you about the opposite edges of the tetrahedron?
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