3D geometry, shape and space Nets (2024)

There are 23 NRICH Mathematical resources connected to Nets, you may find related items under 3D geometry, shape and space.

Broad Topics > 3D geometry, shape and space > Nets

Problem Primary curriculum Secondary curriculum

The Spider and the Fly

A spider is sitting in the middle of one of the smallest walls in aroom and a fly is resting beside the window. What is the shortestdistance the spider would have to crawl to catch the fly?

Age 14 to 16

Challenge Level 3D geometry, shape and space Nets (8)3D geometry, shape and space Nets (9)3D geometry, shape and space Nets (10)

Problem Primary curriculum Secondary curriculum

Cut Nets

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

Age 7 to 11

Challenge Level 3D geometry, shape and space Nets (12)3D geometry, shape and space Nets (13)3D geometry, shape and space Nets (14)

Problem Primary curriculum Secondary curriculum

A Puzzling Cube

Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

Age 7 to 11

Challenge Level 3D geometry, shape and space Nets (16)3D geometry, shape and space Nets (17)3D geometry, shape and space Nets (18)

Problem Primary curriculum Secondary curriculum

Tet-trouble

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

Age 14 to 16

Challenge Level 3D geometry, shape and space Nets (20)3D geometry, shape and space Nets (21)3D geometry, shape and space Nets (22)

Problem Primary curriculum Secondary curriculum

Which Face?

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

Age 14 to 16

ShortChallenge Level 3D geometry, shape and space Nets (24)3D geometry, shape and space Nets (25)3D geometry, shape and space Nets (26)

Problem Primary curriculum Secondary curriculum

Cool as Ice

Design and construct a prototype intercooler which will satisfy agreed quality control constraints.

Age 11 to 16

Challenge Level 3D geometry, shape and space Nets (28)3D geometry, shape and space Nets (29)3D geometry, shape and space Nets (30)

Problem Primary curriculum Secondary curriculum

Gym Bag

Can Jo make a gym bag for her trainers from the piece of fabric she has?

Age 11 to 16

Challenge Level 3D geometry, shape and space Nets (32)3D geometry, shape and space Nets (33)3D geometry, shape and space Nets (34)

Project Primary curriculum Secondary curriculum

Make Your Own Pencil Case

What shape would fit your pens and pencils best? How can you make it?

Age 11 to 14

Challenge Level 3D geometry, shape and space Nets (36)3D geometry, shape and space Nets (37)3D geometry, shape and space Nets (38)

Problem Primary curriculum Secondary curriculum

Chopped Dice

Can you make a new type of fair die with 14 faces by shaving thecorners off a cube?

Age 14 to 16

Challenge Level 3D geometry, shape and space Nets (40)3D geometry, shape and space Nets (41)3D geometry, shape and space Nets (42)

Problem Primary curriculum Secondary curriculum

Auditorium Steps

What is the shape of wrapping paper that you would need to completely wrap this model?

Age 7 to 14

Challenge Level 3D geometry, shape and space Nets (44)3D geometry, shape and space Nets (45)3D geometry, shape and space Nets (46)

Problem Primary curriculum Secondary curriculum

Air Nets

Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.

Age 7 to 18

Challenge Level 3D geometry, shape and space Nets (48)3D geometry, shape and space Nets (49)3D geometry, shape and space Nets (50)

Problem Primary curriculum Secondary curriculum

Triangular Faces

This problem invites you to build 3D shapes using two differenttriangles. Can you make the shapes from the pictures?

Age 7 to 11

Challenge Level 3D geometry, shape and space Nets (52)3D geometry, shape and space Nets (53)3D geometry, shape and space Nets (54)

Problem Primary curriculum Secondary curriculum

All Wrapped Up

What is the largest cuboid you can wrap in an A3 sheet of paper?

Age 7 to 11

Challenge Level 3D geometry, shape and space Nets (56)3D geometry, shape and space Nets (57)3D geometry, shape and space Nets (58)

Article Primary curriculum Secondary curriculum

All Is Number

Read all about Pythagoras' mathematical discoveries in this article written for students.

Age 7 to 14

Article Primary curriculum Secondary curriculum

Thinking 3D

How can we as teachers begin to introduce 3D ideas to youngchildren? Where do they start? How can we lay the foundations for alater enthusiasm for working in three dimensions?

Age 7 to 14

Problem Primary curriculum Secondary curriculum

More Christmas Boxes

What size square should you cut out of each corner of a 10 x 10grid to make the box that would hold the greatest number of cubes?

Age 7 to 11

Challenge Level 3D geometry, shape and space Nets (62)3D geometry, shape and space Nets (63)3D geometry, shape and space Nets (64)

Problem Primary curriculum Secondary curriculum

Cubic Conundrum

Which of the following cubes can be made from these nets?

Age 7 to 16

Challenge Level 3D geometry, shape and space Nets (66)3D geometry, shape and space Nets (67)3D geometry, shape and space Nets (68)

Problem Primary curriculum Secondary curriculum

Cutting a Cube

A half-cube is cut into two pieces by a plane through the long diagonal and at right angles to it. Can you draw a net of these pieces? Are they identical?

Age 11 to 14

Challenge Level 3D geometry, shape and space Nets (70)3D geometry, shape and space Nets (71)3D geometry, shape and space Nets (72)

Problem Primary curriculum Secondary curriculum

Rhombicubocts

Each of these solids is made up with 3 squares and a triangle around each vertex. Each has a total of 18 square faces and 8 faces that are equilateral triangles. How many faces, edges and vertices does each solid have?

Age 11 to 14

Challenge Level 3D geometry, shape and space Nets (74)3D geometry, shape and space Nets (75)3D geometry, shape and space Nets (76)

Problem Primary curriculum Secondary curriculum

Let's Face It

In this problem you have to place four by four magic squares on thefaces of a cube so that along each edge of the cube the numbersmatch.

Age 7 to 11

Challenge Level 3D geometry, shape and space Nets (78)3D geometry, shape and space Nets (79)3D geometry, shape and space Nets (80)

Problem Primary curriculum Secondary curriculum

Face Painting

You want to make each of the 5 Platonic solids and colour the facesso that, in every case, no two faces which meet along an edge havethe same colour.

Age 7 to 11

Challenge Level 3D geometry, shape and space Nets (82)3D geometry, shape and space Nets (83)3D geometry, shape and space Nets (84)

Problem Primary curriculum Secondary curriculum

Platonic Planet

Glarsynost lives on a planet whose shape is that of a perfectregular dodecahedron. Can you describe the shortest journey she canmake to ensure that she will see every part of the planet?

Age 14 to 16

Challenge Level 3D geometry, shape and space Nets (86)3D geometry, shape and space Nets (87)3D geometry, shape and space Nets (88)

Problem Primary curriculum Secondary curriculum

Presents

We need to wrap up this cube-shaped present, remembering that we can have no overlaps. What shapes can you find to use?

Age 7 to 11

Challenge Level 3D geometry, shape and space Nets (90)3D geometry, shape and space Nets (91)3D geometry, shape and space Nets (92)


3D geometry, shape and space Nets (2024)

FAQs

What are 3D shapes and their nets? ›

This document discusses 3D shapes and their nets. It defines 3D shapes as solid objects that have three dimensions of length, width, and height. Various types of 3D shapes are described such as cubes, cuboids, cylinders, cones, pyramids, and prisms. The net of a 3D shape is what it looks like when flattened out.

What is the space inside a 3D shape called? ›

The amount of space occupied by 3D object is called its volume.

Can a net fold into a 3D shape? ›

A net is a two dimensional plan or shape that can be folded to make a three dimensional solid. For some solids, such as the cube, there are many different nets.

What are the 11 possible nets of a cube? ›

The answer is that 1, 4, 6, 7, 8, 9, 12, 13, 14 and 15 are all valid nets of a cube. 2, 3, 5, 10, 11 and 16 cannot make a cube and they are non-nets. There is one valid net missing….

What is a nets in geometry? ›

The net of a shape in geometry is defined as a pattern that can be cut and folded to make a model of a solid shape. The 'net' of a shape (also called a geometry net) is a term used to describe what a 3D shape would look like if it was opened out and laid flat.

What is 3-dimensional space called in geometry? ›

Most commonly, it is the three-dimensional Euclidean space, that is, the Euclidean space of dimension three, which models physical space. More general three-dimensional spaces are called 3-manifolds. The term may also refer colloquially to a subset of space, a three-dimensional region (or 3D domain), a solid figure.

What is the space occupied by three-dimensional shapes called? ›

The amount of space occupied by a three dimensional objects is called its volume.

What are three-dimensional figures that enclose part of space? ›

Three-dimensional figures are different from two-dimensional figures because they define an enclosed space or volume. Examples of three-dimensional figures are cubes, prisms, pyramids, cones, and spheres.

Which 3D shape has no net? ›

Answer: There is no 3D shape without a net, even sphare has a net.. though no 2D shape has a net...

What three-dimensional figure can be made from the net? ›

A net is a two-dimensional figure that can be folded to make a polyhedron. Here is a net for a cube. A polyhedron is a closed, three-dimensional shape with flat sides.

What are the nets of a 3D square pyramid? ›

What are Square Based Pyramid nets? Square Based Pyramid nets are the laid out, 2D faces that can be folded to make the 3D shape of a square based pyramid. Square Based Pyramid nets are used in mathematics to help with the teaching of 3D shapes.

Which 3D shape Cannot roll? ›

This cuboid shape isn't going to roll, but it will slide if we push it. This is because it has a flat surface. In fact, cuboids have lots of flat surfaces.

How many nets does a 3D shape have? ›

A 3D shape can have more than one possible net. For example, there are 11 possible nets of a cube.

Which net Cannot be folded to make a cube? ›

In the given nets, net B has only 5 squares. It cannot be folded into a cube. It can be observed that all other nets can be folded into cubes.

What are nets and three-dimensional figures? ›

A net is a two-dimensional representation of a three-dimensional figure that is unfolded along its edges so that each face of the figure is shown in two dimensions. Consider the rectangular prism shown. Consider how the net below will fold to create the prism.

What are 5 examples of 3D shapes? ›

3-dimensional shapes have thickness or depth compared to 2D shapes, which are flat. The common types of 3D shapes include a cube, sphere, cone, pyramid, rectangular prism, and cylinder. A polygon is any two-dimensional shape with straight lines.

What is the net of a three-dimensional shape? ›

A net is a pattern made when the surface of a 3D figure is laid out flat, showing each face of the figure. Fun Facts: All three dimensional shapes are made up of two dimensional shapes.

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