3D Shapes

Tet-trouble

Age 14 to 16
Challenge Level

Is it possible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units?

Nine Colours

Age 11 to 16
Challenge Level

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

Marbles in a Box

Age 11 to 16
Challenge Level

How many winning lines can you make in a three-dimensional version of noughts and crosses?

Triangles to Tetrahedra

Age 11 to 14
Challenge Level

Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

Stretched Surfaces

Age 14 to 16 Short
Challenge Level

The edges of a cube are stretched, can you find the new surface area?

Rotation Identification

Age 11 to 14 Short
Challenge Level

Which of these can be obtained by rotating this shape?

Which Face?

Age 14 to 16 Short
Challenge Level

Which faces are opposite each other when this net is folded into a cube?

Stacked Cubes

Age 14 to 16 Short
Challenge Level

What is the total surface area of this shape?

Multiplication Cube

Age 11 to 14 Short
Challenge Level

The net shown is folded up to form a cube. What is the largest possible vertex product?