New
New
Year 10
Higher

Representing 3D shapes in 2D

I can use isometric paper to draw a solid made from cuboids.

New
New
Year 10
Higher

Representing 3D shapes in 2D

I can use isometric paper to draw a solid made from cuboids.

Lesson details

Key learning points

  1. Isometric paper aids the drawing of a solid constructed from cubes.
  2. The drawing will look 3D.
  3. The final picture has three distinct viewpoints.

Common misconception

Pupils count all the triangles in a row to determine length rather than only counting the ones which have an edge on the line.

Encourage pupils to consider what they are using to measure when they draw each line on isometric paper.

Keywords

  • Isometric paper - Isometric means distances between points stay the same. In this lesson we use isometric paper which has equally spaced dots or points.

  • Solid - A solid is a shape that has three dimensions (e.g. width, height and depth).

This lesson requires pupils to have access to isometric paper. The lesson uses paper which has triangles rather than dots but either can be used.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are __________.
Correct Answer: congruent
Q2.
What is the length of BC?
An image in a quiz
11 cm
Correct answer: 18 cm
20 cm
Q3.
The image is a 2D representation of a 3D shape. What is the shape?
An image in a quiz
cube
cuboid
cone
Correct answer: cylinder
sphere
Q4.
The image is a 2D representation of a 3D shape. What is the shape?
An image in a quiz
cube
cuboid
Correct answer: cone
cylinder
sphere
Q5.
The image is a 2D representation of a 3D shape. The shape is a .
An image in a quiz
Correct Answer: cuboid, rectangular prism, square prism
Q6.
Jacob has got his pair of compasses ready to draw a circle. Which statements will be true?
An image in a quiz
The radius will be 4 cm.
Correct answer: The radius will be 8 cm.
The radius will be 16 cm.
The diameter will be 8 cm.
Correct answer: The diameter will be 16 cm.

6 Questions

Q1.
paper contains dots or points which are all equally spaced, such as in the diagram.
An image in a quiz
Correct Answer: isometric
Q2.
The image shows a photograph and an isometric drawing of a pencil sharpener. The value of $$a$$ is .
An image in a quiz
Correct Answer: 1, one, 1 cm
Q3.
The image shows a photograph and an isometric drawing of a pencil sharpener. The value of $$c$$ is .
An image in a quiz
Correct Answer: 2, two, 2 cm
Q4.
The image shows a solid that is constructed with two congruent cuboids and an isometric drawing of the solid. The value of $$a$$ is .
An image in a quiz
Correct Answer: 2, two, 2 cm
Q5.
The image shows a solid that is constructed with two congruent cuboids and an isometric drawing of the solid. The value of $$d$$ is .
An image in a quiz
Correct Answer: 3, three, 3 cm
Q6.
Which isometric drawing shows a cuboid with lengths 2 units, 3 units and 5 units?
An image in a quiz
a
b
c
Correct answer: d