Grasp Maths

Year 2

Identify 2-D shapes on the surface of 3-D shapes

Spot flat 2-D shapes on the faces of 3-D solids.

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Lesson overview

Geometry - properties of shape

Many 3-D shapes have flat faces. Those faces are 2-D shapes. For example, a cube has square faces and a cylinder has circular faces. Looking at the surface helps us spot the flat shape clearly.

Square faces

A cube has square faces.

3-D shapeCube

solid shape

2-D faceSquare

flat face on the surface

The whole shape is 3-D, but each flat face can be 2-D.

Circular faces

A cylinder has circles on its flat ends.

3-D shapeCylinder

solid shape

2-D faceCircle

flat face on each end

Not every part of the surface is flat, so check the faces carefully.

Triangles on a pyramid

A pyramid can have triangular faces.

3-D shapePyramid

solid shape

2-D faceTriangle

sloping flat face

The face is 2-D even though the whole object is 3-D.

Worked example

What 2-D shape can you find on the face of a cuboid?

3-D shapeCuboid

look at one flat face

2-D faceRectangle

the face shape

  1. Think about the flat faces on a cuboid.
  2. Each flat face is a 2-D shape.
  3. Those faces are rectangles.
  4. So a rectangle can be found on the surface of a cuboid.

Try it

Match the 3-D shape to the flat 2-D face you can see on it.

Question 1

What 2-D shape can you find on the face of a cube?

3-D shapeCube
Flat faceSquare
Question 2

What 2-D shape can you find on the end of a cylinder?

3-D shapeCylinder
Flat faceCircle
Question 3

Which 3-D shape can have triangular faces?

3-D shapePyramid
Flat faceTriangle
Question 4

What 2-D shape can you find on the face of a cuboid?

3-D shapeCuboid
Flat faceRectangle
Question 5

Which statement is correct?

3-D shapeCylinder
2-D faceCircle

Common mistakes

Watch for these when working through the lesson.

  • Naming the whole 3-D shape instead of the flat face.
  • Choosing a face that does not appear on that solid.
  • Forgetting that a curved surface is not the same as a flat face.

Related topics

These ideas fit closely with this lesson.

  • Identify and describe the properties of 2-D shapes, including the number of sides and line symmetry in a vertical line.
  • Identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces.

Practice next

Independent practice will plug in here

This lesson introduces the idea clearly first. Deeper adaptive practice can sit here later.