Search by Topic

Resources tagged with Coordinates - 3D similar to Interpenetrating Solids:

Filter by: Content type:
Stage:
Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

There are 6 results

Broad Topics > Coordinates and Coordinate Geometry > Coordinates - 3D

problem icon

Cut Cube

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Find the shape and symmetries of the two pieces of this cut cube.

problem icon

Four Points on a Cube

Stage: 5 Challenge Level: Challenge Level:1

What is the surface area of the tetrahedron with one vertex at O the vertex of a unit cube and the other vertices at the centres of the faces of the cube not containing O?

problem icon

Plane to See

Stage: 5 Challenge Level: Challenge Level:1

P is the midpoint of an edge of a cube and Q divides another edge in the ratio 1 to 4. Find the ratio of the volumes of the two pieces of the cube cut by a plane through PQ and a vertex.

problem icon

Mesh

Stage: 5 Challenge Level: Challenge Level:1

A spherical balloon lies inside a wire frame. How much do you need to deflate it to remove it from the frame if it remains a sphere?

problem icon

Flight Path

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Use simple trigonometry to calculate the distance along the flight path from London to Sydney.

problem icon

Cubestick

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Stick some cubes together to make a cuboid. Find two of the angles by as many different methods as you can devise.