Myths about teaching can hold you back
- Year 8
Surface area of cuboids
I can appreciate the concept of surface area and find the surface area of cuboids.
- Year 8
Surface area of cuboids
I can appreciate the concept of surface area and find the surface area of cuboids.
Lesson details
Key learning points
- The surface area of a 3D shape is the sum of the area of all the faces.
- The net of a cuboid can help find the surface area.
- The surface area of a cuboid can be found without drawing the net.
Keywords
Surface area - the total area of all the surfaces of a closed 3D shape. The surfaces include all faces and any curved surfaces.
Net - The net of a 3D object is a 2D representation of its surfaces that can be folded up into the 3D object.
Common misconception
Any arrangement of 6 square-faces will result in the net of a cube.
Some arrangements of 6 squares will result in some of them overlapping when the shape is folded into 3D, resulting in an incomplete cube.
To help you plan your year 8 maths lesson on: Surface area of cuboids, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Surface area of cuboids, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 3 maths lessons from the Perimeter, area and volume unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Select the correct value and units of measure that represent the area of this rectangle.
Q2.Which of these statements about this shape are correct?
Q3.The area of this rectangle is 40 cm². The value of $$m$$ is .
Q4.Starting with the smallest, put the value of each of the four missing lengths ($$a$$, $$b$$, $$c$$, $$d$$) in order of size.
Q5.In this picture, the square on the left is congruent to each of the squares in the diagram on the right. The area of the diagram on the right is cm².
Q6.In this picture, the rectangle on the left is congruent to each of the three rectangles in the diagram on the right. The area of one rectangle is cm².
Assessment exit quiz
6 Questions
Q1.Each of these compound shapes are different arrangements of six congruent squares. Which of the compound shapes are nets of a cube?
Q2.Which of these compound shapes are nets of a cuboid?
Q3.This diagram shows six rectangles that can be connected together to create the net of a cuboid. Match each rectangles to its area.
a -
40 cm²
b -
10 cm²
c -
16 cm²
Q4.This is the net of a cuboid. The surface area of the cuboid after this net is folded up is cm².
Q5.Some of the calculations to find the surface area of this cuboid are given. The value of $$b$$ is greater than the value of $$c$$. Match each missing length or area to its value.
a -
2 cm
b -
11 cm
c -
5 cm
d -
174 cm²
total area of visible faces -
87 cm²
Q6.A cuboid has been drawn on isometric paper, where each unit of isometric paper represents 1 inch. The total surface area of this cuboid is square inches.
