the total area of all the surfaces of a closed 3D shape. The surfaces include all faces and any curved surfaces.

The net of a 3D object is a 2D representation of its surfaces that can be folded up into the 3D object.

Surface area of cuboids

Maths

Checking understanding of perimeter

Checking understanding of area

Multiplicative relationships in circles

Circumference of a circle

Area of a circle

Using the formula for the area of a circle

Area of composite shapes

Perimeter of composite shapes

Finding a length in composite shapes

Properties of prisms

Surface area of prisms

Surface area of cylinders

Volume of prisms

Volume of cylinders

Problem solving with perimeter, area and volume

In this unit, pupils have derived the formula for the circumference and area of a circle. In the future unit, this knowledge is combined with knowledge of fractions to find the arc length and area of a sector.

 In the prior unit, pupils learnt how to derive and use the formula for the area of a triangle and trapezium. In this unit, this knowledge is called upon to find the volume of different prisms and area of composite shapes.

In this unit pupils extend their knowledge of shapes by exploring the properties of circles and composite shapes before developing understanding of 3-D shapes including surface area and volume.

Perimeter, area and volume

Each of these compound shapes are different arrangements of six congruent squares. Which of the compound shapes are nets of a cube?

Which of these compound shapes are nets of a cuboid?

This diagram shows six rectangles that can be connected together to create the net of a cuboid. Match each rectangles to its area.

This is the net of a cuboid. The surface area of the cuboid after this net is folded up is {{}} cm².

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 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.

Select the correct value and units of measure that represent the area of this rectangle.

Which of these statements about this shape are correct?

The area of this rectangle is 40 cm². The value of $$m$$ is {{}}.

Starting with the smallest, put the value of each of the four missing lengths ($$a$$, $$b$$, $$c$$, $$d$$) in order of size.

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.

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.

Surface area of cuboids

Lesson outcome