2D representations of 3D shapes

There are 43 NRICH Mathematical resources connected to 2D representations of 3D shapes
Nine Colours
problem

Nine Colours

Age
11 to 16
Challenge level
filled star filled star filled star
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?
Soma - So Good
problem

Soma - So Good

Age
11 to 14
Challenge level
filled star filled star filled star
Can you mentally fit the 7 SOMA pieces together to make a cube? Can you do it in more than one way?
A City of Towers
problem

A City of Towers

Age
5 to 7
Challenge level
filled star empty star empty star
In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?
New House
problem

New House

Age
7 to 11
Challenge level
filled star empty star empty star
In this investigation, you must try to make houses using cubes. If the base must not spill over 4 squares and you have 7 cubes which stand for 7 rooms, what different designs can you come up with?
Shaping the universe I - planet Earth
article

Shaping the universe I - planet Earth

This article explores ths history of theories about the shape of our planet. It is the first in a series of articles looking at the significance of geometric shapes in the history of astronomy.
Pupils' recording or pupils recording
article

Pupils' recording or pupils recording

This article, written for teachers, looks at the different kinds of recordings encountered in Primary Mathematics lessons and the importance of not jumping to conclusions!
Euler's Formula
article

Euler's Formula

Some simple ideas about graph theory with a discussion of a proof of Euler's formula relating the numbers of vertces, edges and faces of a graph.
The development of spatial and geometric thinking: 5 to 18
article

The development of spatial and geometric thinking: 5 to 18

This is the first article in a series which aim to provide some insight into the way spatial thinking develops in children, and draw on a range of reported research. The focus of this article is the work of Piaget and Inhelder.